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Fundamentals of Hopf Algebras / / by Robert G. Underwood
| Fundamentals of Hopf Algebras / / by Robert G. Underwood |
| Autore | Underwood Robert G |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (XIV, 150 p. 21 illus.) |
| Disciplina | 512.55 |
| Collana | Universitext |
| Soggetto topico |
Associative rings
Rings (Algebra) Commutative algebra Commutative rings Number theory Computer science—Mathematics Computer mathematics Associative Rings and Algebras Commutative Rings and Algebras Number Theory Mathematical Applications in Computer Science |
| ISBN | 3-319-18991-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Notation -- 1. Algebras and Coalgebras -- 2. Bialgebras -- 3. Hopf Algebras -- 4. Applications of Hopf Algebras -- Bibliography. |
| Record Nr. | UNINA-9910299769703321 |
Underwood Robert G
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Galois fields and Galois rings made easy / / Maurice R. Kibler
| Galois fields and Galois rings made easy / / Maurice R. Kibler |
| Autore | Kibler Maurice R. |
| Pubbl/distr/stampa | London, England ; ; Oxford, England : , : ISTE Press : , : Elsevier, , 2017 |
| Descrizione fisica | 1 online resource (247 pages) : illustrations, tables |
| Disciplina | 512.32 |
| Soggetto topico |
Galois theory
Rings (Algebra) |
| ISBN |
0-08-102351-0
1-78548-235-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910583381003321 |
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Kibler Maurice R.
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| London, England ; ; Oxford, England : , : ISTE Press : , : Elsevier, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Galois Theory Through Exercises / / by Juliusz Brzeziński
| Galois Theory Through Exercises / / by Juliusz Brzeziński |
| Autore | Brzeziński Juliusz |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (XVII, 293 p. 12 illus.) |
| Disciplina | 512.32 |
| Collana | Springer Undergraduate Mathematics Series |
| Soggetto topico |
Algebra
Field theory (Physics) Number theory Algebraic geometry Associative rings Rings (Algebra) Commutative algebra Commutative rings Group theory Field Theory and Polynomials Number Theory Algebraic Geometry Associative Rings and Algebras Commutative Rings and Algebras Group Theory and Generalizations |
| ISBN | 3-319-72326-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Solving algebraic equations -- 2 Field extensions -- 3 Polynomials and irreducibility -- 4 Algebraic extensions -- 5 Splitting fields -- 6 Automorphism groups of fields -- 7 Normal extensions -- 8 Separable extensions -- 9 Galois extensions -- 10 Cyclotomic extensions -- 11 Galois modules -- 12 Solvable groups -- 13 Solvability of equations -- 14 Geometric constructions -- 15 Computing Galois groups -- 16 Supplementary problems -- 17 Proofs of the theorems -- 18 Hints and answers -- 19 Examples and selected solutions -- Appendix: Groups, rings and fields -- References -- List of notations -- Index. |
| Record Nr. | UNINA-9910300102903321 |
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Brzeziński Juliusz
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The generalized Pontrjagin cohomology operations and rings with divided powers / / Emery Thomas
| The generalized Pontrjagin cohomology operations and rings with divided powers / / Emery Thomas |
| Autore | Thomas Emery |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1957 |
| Descrizione fisica | 1 online resource (86 pages) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Cohomology operations
Pontryagin spaces Rings (Algebra) Topology |
| ISBN | 0-8218-9969-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""INTRODUCTION""; ""1. THE MAIN THEOREMS""; ""2. THE MODEL OPERATIONS, P[sub(t)] (t = 0, 1, ...)""; ""3. THE DEFINITION OF THE OPERATIONS [omitted][sub(t)]""; ""4. THE PROOF OF THE MAIN THEOREMS""; ""5. DEFINITION OF THE MODEL OPERATIONS P[sub(p)], (p prime)""; ""6. REMARKS ON CUP-PRODUCTS""; ""7. THE CASE OF DIMENSION Å« ODD""; ""8. THE DEFINITION OF THE OPERATIONS P[sub(r)]""; ""9. THE OPERATION P[sub(p)] ON A SUM""; ""10. PROOF OF THEOREM 2.1(i), (ii), AND (iii)""; ""11. PROOF OF THEOREM 2.1(iv)""; ""12. PROOF OF THEOREM 2.1(v), (vi), AND (vii)""; ""13. PROOF OF THEOREMS 2.2 AND 2.3""; ""APPENDIX: COMPUTATION OF THE OPERATIONS [omitted][sub(t)]""""BIBLIOGRAPHY"" |
| Record Nr. | UNINA-9910788769003321 |
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Thomas Emery
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| Providence : , : American Mathematical Society, , 1957 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The generalized Pontrjagin cohomology operations and rings with divided powers / / Emery Thomas
| The generalized Pontrjagin cohomology operations and rings with divided powers / / Emery Thomas |
| Autore | Thomas Emery |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1957 |
| Descrizione fisica | 1 online resource (86 pages) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Cohomology operations
Pontryagin spaces Rings (Algebra) Topology |
| ISBN | 0-8218-9969-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""INTRODUCTION""; ""1. THE MAIN THEOREMS""; ""2. THE MODEL OPERATIONS, P[sub(t)] (t = 0, 1, ...)""; ""3. THE DEFINITION OF THE OPERATIONS [omitted][sub(t)]""; ""4. THE PROOF OF THE MAIN THEOREMS""; ""5. DEFINITION OF THE MODEL OPERATIONS P[sub(p)], (p prime)""; ""6. REMARKS ON CUP-PRODUCTS""; ""7. THE CASE OF DIMENSION Å« ODD""; ""8. THE DEFINITION OF THE OPERATIONS P[sub(r)]""; ""9. THE OPERATION P[sub(p)] ON A SUM""; ""10. PROOF OF THEOREM 2.1(i), (ii), AND (iii)""; ""11. PROOF OF THEOREM 2.1(iv)""; ""12. PROOF OF THEOREM 2.1(v), (vi), AND (vii)""; ""13. PROOF OF THEOREMS 2.2 AND 2.3""; ""APPENDIX: COMPUTATION OF THE OPERATIONS [omitted][sub(t)]""""BIBLIOGRAPHY"" |
| Record Nr. | UNINA-9910827433603321 |
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Thomas Emery
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| Providence : , : American Mathematical Society, , 1957 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / / Michael Kapovich, Bernhard Leeb, John J. Millson
| The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / / Michael Kapovich, Bernhard Leeb, John J. Millson |
| Autore | Kapovich Michael <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina |
510 s
512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semisimple Lie groups
Linear algebraic groups Geometric group theory Lorentz groups Symmetric spaces Rings (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0502-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Roots and Coxeter Groups""; ""2.1. Split tori over F""; ""2.2. Roots, coroots and the Langlands' dual""; ""2.3. Coxeter groups""; ""Chapter 3. The First Three Algebra Problems and the Parameter Spaces â?? for K\G/K""; ""3.1. The generalized eigenvalues of a sum problem Q1 and the parameter space â?? of k-double cosets""; ""3.2. The generalized singular values of a product and the parameter space â?? of K-double cosets""; ""3.3. The generalized invariant factor problem and the parameter space â?? of K-double cosets""
""3.4. Comparison of the parameter spaces for the four algebra problems""""3.5. Linear algebra problems""; ""Chapter 4. The existence of polygonal linkages and solutions to the algebra problems""; ""4.1. Setting up the general geometry problem""; ""4.2. Geometries modeled on Coxeter complexes""; ""4.3. Bruhat-Tits buildings associated with nonarchimedean reductive Lie groups""; ""4.4. Geodesic polygons""; ""Chapter 5. Weighted Configurations, Stability and the Relation to Polygons""; ""5.1. Gauss maps and associated dynamical systems""; ""5.2. The polyhedron D[sub(n)](X)"" ""5.3. The polyhedron for the root system B[sub(2)]""""Chapter 6. Polygons in Euclidean Buildings and the Generalized Invariant Factor Problem""; ""6.1. Folding polygons into apartments""; ""6.2. A Solution of Problem Q2 is not necessarily a solution of Problem Q3""; ""Chapter 7. The Existence of Fixed Vertices in Buildings and Computation of the Saturation Factors for Reductive Groups""; ""7.1. The saturation factors associated to a root system""; ""7.2. The existence of fixed vertices""; ""7.3. Saturation factors for reductive groups""; ""Chapter 8. The Comparison of Problems Q3 and Q4"" ""8.1. The Hecke ring""""8.2. A geometric interpretation of m[sub(α,β,γ)](0)""; ""8.3. The Satake transform""; ""8.4. A solution of Problem Q4 is a solution of Problem Q3""; ""8.5. A Solution of Problem Q3 is not necessarily a solution of Problem Q4""; ""8.6. The saturation theorem for GL(l)""; ""8.7. Computations for the root systems B[sub(2)] and G[sub(2)] ""; ""Appendix A. Decomposition of Tensor Products and Mumford Quotients of Products of Coadjoint orbits""; ""A. l. The existence of semistable triples and nonzero invariant vectorsin triple tensor products"" ""A. 2. The semigroups of solutions to Problems Q1 and Q4""""Bibliography"" |
| Record Nr. | UNINA-9910480614703321 |
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Kapovich Michael <1963->
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| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / / Michael Kapovich, Bernhard Leeb, John J. Millson
| The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / / Michael Kapovich, Bernhard Leeb, John J. Millson |
| Autore | Kapovich Michael <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina |
510 s
512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semisimple Lie groups
Linear algebraic groups Geometric group theory Lorentz groups Symmetric spaces Rings (Algebra) |
| ISBN | 1-4704-0502-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Roots and Coxeter Groups""; ""2.1. Split tori over F""; ""2.2. Roots, coroots and the Langlands' dual""; ""2.3. Coxeter groups""; ""Chapter 3. The First Three Algebra Problems and the Parameter Spaces â?? for K\G/K""; ""3.1. The generalized eigenvalues of a sum problem Q1 and the parameter space â?? of k-double cosets""; ""3.2. The generalized singular values of a product and the parameter space â?? of K-double cosets""; ""3.3. The generalized invariant factor problem and the parameter space â?? of K-double cosets""
""3.4. Comparison of the parameter spaces for the four algebra problems""""3.5. Linear algebra problems""; ""Chapter 4. The existence of polygonal linkages and solutions to the algebra problems""; ""4.1. Setting up the general geometry problem""; ""4.2. Geometries modeled on Coxeter complexes""; ""4.3. Bruhat-Tits buildings associated with nonarchimedean reductive Lie groups""; ""4.4. Geodesic polygons""; ""Chapter 5. Weighted Configurations, Stability and the Relation to Polygons""; ""5.1. Gauss maps and associated dynamical systems""; ""5.2. The polyhedron D[sub(n)](X)"" ""5.3. The polyhedron for the root system B[sub(2)]""""Chapter 6. Polygons in Euclidean Buildings and the Generalized Invariant Factor Problem""; ""6.1. Folding polygons into apartments""; ""6.2. A Solution of Problem Q2 is not necessarily a solution of Problem Q3""; ""Chapter 7. The Existence of Fixed Vertices in Buildings and Computation of the Saturation Factors for Reductive Groups""; ""7.1. The saturation factors associated to a root system""; ""7.2. The existence of fixed vertices""; ""7.3. Saturation factors for reductive groups""; ""Chapter 8. The Comparison of Problems Q3 and Q4"" ""8.1. The Hecke ring""""8.2. A geometric interpretation of m[sub(α,β,γ)](0)""; ""8.3. The Satake transform""; ""8.4. A solution of Problem Q4 is a solution of Problem Q3""; ""8.5. A Solution of Problem Q3 is not necessarily a solution of Problem Q4""; ""8.6. The saturation theorem for GL(l)""; ""8.7. Computations for the root systems B[sub(2)] and G[sub(2)] ""; ""Appendix A. Decomposition of Tensor Products and Mumford Quotients of Products of Coadjoint orbits""; ""A. l. The existence of semistable triples and nonzero invariant vectorsin triple tensor products"" ""A. 2. The semigroups of solutions to Problems Q1 and Q4""""Bibliography"" |
| Record Nr. | UNINA-9910788851503321 |
|
Kapovich Michael <1963->
|
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| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / / Michael Kapovich, Bernhard Leeb, John J. Millson
| The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / / Michael Kapovich, Bernhard Leeb, John J. Millson |
| Autore | Kapovich Michael <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina |
510 s
512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semisimple Lie groups
Linear algebraic groups Geometric group theory Lorentz groups Symmetric spaces Rings (Algebra) |
| ISBN | 1-4704-0502-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Roots and Coxeter Groups""; ""2.1. Split tori over F""; ""2.2. Roots, coroots and the Langlands' dual""; ""2.3. Coxeter groups""; ""Chapter 3. The First Three Algebra Problems and the Parameter Spaces â?? for K\G/K""; ""3.1. The generalized eigenvalues of a sum problem Q1 and the parameter space â?? of k-double cosets""; ""3.2. The generalized singular values of a product and the parameter space â?? of K-double cosets""; ""3.3. The generalized invariant factor problem and the parameter space â?? of K-double cosets""
""3.4. Comparison of the parameter spaces for the four algebra problems""""3.5. Linear algebra problems""; ""Chapter 4. The existence of polygonal linkages and solutions to the algebra problems""; ""4.1. Setting up the general geometry problem""; ""4.2. Geometries modeled on Coxeter complexes""; ""4.3. Bruhat-Tits buildings associated with nonarchimedean reductive Lie groups""; ""4.4. Geodesic polygons""; ""Chapter 5. Weighted Configurations, Stability and the Relation to Polygons""; ""5.1. Gauss maps and associated dynamical systems""; ""5.2. The polyhedron D[sub(n)](X)"" ""5.3. The polyhedron for the root system B[sub(2)]""""Chapter 6. Polygons in Euclidean Buildings and the Generalized Invariant Factor Problem""; ""6.1. Folding polygons into apartments""; ""6.2. A Solution of Problem Q2 is not necessarily a solution of Problem Q3""; ""Chapter 7. The Existence of Fixed Vertices in Buildings and Computation of the Saturation Factors for Reductive Groups""; ""7.1. The saturation factors associated to a root system""; ""7.2. The existence of fixed vertices""; ""7.3. Saturation factors for reductive groups""; ""Chapter 8. The Comparison of Problems Q3 and Q4"" ""8.1. The Hecke ring""""8.2. A geometric interpretation of m[sub(α,β,γ)](0)""; ""8.3. The Satake transform""; ""8.4. A solution of Problem Q4 is a solution of Problem Q3""; ""8.5. A Solution of Problem Q3 is not necessarily a solution of Problem Q4""; ""8.6. The saturation theorem for GL(l)""; ""8.7. Computations for the root systems B[sub(2)] and G[sub(2)] ""; ""Appendix A. Decomposition of Tensor Products and Mumford Quotients of Products of Coadjoint orbits""; ""A. l. The existence of semistable triples and nonzero invariant vectorsin triple tensor products"" ""A. 2. The semigroups of solutions to Problems Q1 and Q4""""Bibliography"" |
| Record Nr. | UNINA-9910827763403321 |
|
Kapovich Michael <1963->
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| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric and Topological Aspects of the Representation Theory of Finite Groups : PIMS Summer School and Workshop, July 27-August 5, 2016 / / edited by Jon F. Carlson, Srikanth B. Iyengar, Julia Pevtsova
| Geometric and Topological Aspects of the Representation Theory of Finite Groups : PIMS Summer School and Workshop, July 27-August 5, 2016 / / edited by Jon F. Carlson, Srikanth B. Iyengar, Julia Pevtsova |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (493 pages) |
| Disciplina | 512.2 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Category theory (Mathematics)
Homological algebra Topological groups Lie groups Associative rings Rings (Algebra) Group theory Category Theory, Homological Algebra Topological Groups, Lie Groups Associative Rings and Algebras Group Theory and Generalizations |
| ISBN | 3-319-94033-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Restricting Homology to Hypersurfaces (L.L. Abramov, S.B. Iyengar) -- Thick Subcategories of the Relative Stable Category (J.F. Carlson) -- Nilpotent Elements in Hoghschild Cohomology (K. Erdmann) -- Rational Cohomology and Supports for Linear Algebraic Groups (E. Friedlander) -- Globally Irreducible Weyl Modules for Quantam Groups (S. Garibaldi, R.M. Guralnick, D.K. Nakano) -- Understanding Finite Dimensional Representations Generically (K.R. Goodearl, B. Huisgen-Zimmermann) -- Anderson and Gorenstein Duality (J.P.C. Greenlees, V. Stojanoska) -- Extensions of the Benson-Solomon Fusion Systems (E. Henke, J. Lynd) -- Descent of Equivalences and Character Bijections (R. Kessar, M. Linckelmann) -- Length Categories of Infinite Height (H. Krause, D. Vossieck) -- On Automorphisms and Focal Subgroups of Blocks (M. Linckelmann) -- Examples of Descent Up to Nilpotence (A. Mathew) -- A Remark on the Construction of Centric Linking Systems (B. Oliver) -- Varieties of Elementary Subalgebras of Maximal Dimension for Modular Lie Algebras) -- Varieties Related to the Problem of Lifting Gr-modules to G (P. Sobaje) -- Complete Boolean Algebras are Bousfield Lattices (G. Stevenson) -- Endotrivial Modules for Infinite Groups (P. Symonds) -- Cohomology of Algebraic Groups with Coefficients in Twisted Representations (A. Touze) -- Bilinear Forms of Grothendieck (P. Webb) -- Varieties for Modules of Finite Dimension Hopf Algebras (S. Witherspoon). |
| Record Nr. | UNINA-9910300128103321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Gradings on simple Lie algebras / Alberto Elduque, Mikhail Kochetov
| Gradings on simple Lie algebras / Alberto Elduque, Mikhail Kochetov |
| Autore | Elduque, Alberto |
| Pubbl/distr/stampa | Providence, Rhode Island : American Mathematical Society, 2013 |
| Descrizione fisica | xiii, 336 pages : ill. ; 26 cm |
| Disciplina | 512.482 |
| Altri autori (Persone) | Kochetov, Mikhailauthor |
| Collana | Mathematical surveys and monographs, 0076-5376 ; 189 |
| Soggetto topico |
Lie algebras
Rings (Algebra) Jordan algebras |
| ISBN | 9780821898468 (alk. paper) |
| Classificazione |
AMS 17B70
AMS 17B60 AMS 16W50 AMS 17A75 AMS 17C50 LC QA252.3.E43 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002789069707536 |
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Elduque, Alberto
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| Providence, Rhode Island : American Mathematical Society, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Soggetto topico
-
Rings (Algebra)
(263)
- Associative rings (100)
- Associative Rings and Algebras (90)
- Group theory (48)
- Algebra (46)