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Algebraic Theory of Locally Nilpotent Derivations [[electronic resource] /] / by Gene Freudenburg
| Algebraic Theory of Locally Nilpotent Derivations [[electronic resource] /] / by Gene Freudenburg |
| Autore | Freudenburg Gene |
| Edizione | [2nd ed. 2017.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XXII, 319 p.) |
| Disciplina | 512.44 |
| Collana | Encyclopaedia of Mathematical Sciences |
| Soggetto topico |
Commutative algebra
Commutative rings Algebraic geometry Topological groups Lie groups Commutative Rings and Algebras Algebraic Geometry Topological Groups, Lie Groups |
| ISBN | 3-662-55350-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- 1 First Principles -- 2 Further Properties of LNDs -- 3 Polynomial Rings -- 4 Dimension Two -- 5 Dimension Three -- 6 Linear Actions of Unipotent Groups -- 7 Non-Finitely Generated Kernels -- 8 Algorithms -- 9 Makar-Limanov and Derksen Invariants -- 10 Slices, Embeddings and Cancellation -- 11 Epilogue -- References -- Index. |
| Altri titoli varianti | Invariant Theory and Algebraic Transformation Groups VII |
| Record Nr. | UNINA-9910768450203321 |
Freudenburg Gene
|
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Almost commuting elements in compact Lie groups / / Armand Borel, Robert Friedman, John W. Morgan
| Almost commuting elements in compact Lie groups / / Armand Borel, Robert Friedman, John W. Morgan |
| Autore | Borel Armand |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (153 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Lie groups
Compact groups Root systems (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0340-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1.1. Preliminaries""; ""1.2. The case of commuting pairs in a simply connected group""; ""1.3. c-pairs""; ""1.4. Commuting triples""; ""1.5. C-triples""; ""1.6. Quotients of diagram automorphisms""; ""1.7. Description of S(k) and S[sup(Ï?c)](g,k)""; ""1.8. Chern-Simons invariants and Witten's ""Clockwise Symmetry Conjecture""""; ""1.9. Outline of the paper""; ""1.10. History""; ""Chapter 2. Almost commuting N-tuples""; ""2.1. An invariant for almost commuting N-tuples""; ""2.2. The case of rank zero""; ""2.3. The case of arbitrary rank""
""Chapter 3. Some characterizations of groups of type A""""3.1. Generalities on subroot systems""; ""3.2. Action of CG on an alcove""; ""3.3. A first characterization of groups of type A""; ""3.4. Subgroups associated with elements of the center""; ""3.5. A further characterization of products of groups of type A""; ""3.6. A consequence of Proposition 3.5.1""; ""3.7. Application to generalized Cartan matrices and affine diagrams""; ""3.8. Numerology of clockwise symmetry""; ""Chapter 4. c-pairs""; ""4.1. The rank zero case""; ""4.2. The general case""; ""Chapter 5. Commuting triples"" ""5.1. Commuting triples of rank zero""""5.2. A list of all simple groups with rank zero commuting triples""; ""5.3. Action of the outer automorphism group of G""; ""5.4. Action of the center of G""; ""5.5. The general case""; ""Chapter 6. Some results on diagram automorphisms and associated root systems""; ""6.1. A chamber structure and a Coxeter group on the fixed subspace""; ""6.2. The restricted root system and the projection root system""; ""6.3. Generalized Cartan matrices for Î?[sup(res)](l) and Î?[sup(proj)](l)[sup(v)]""; ""6.4. The case of an outer automorphism"" ""6.5. Further results under an additional hypothesis""""6.6. The case of a subgroup of CÎ?""; ""6.7. Proof of Theorem 1.6.2""; ""Chapter 7. The fixed subgroup of an automorphism""; ""7.1. A first description of the component group""; ""7.2. Special automorphisms""; ""7.3. A complete description of the component group""; ""7.4. The roots of H[sup(Ï?)]""; ""7.5. The case of c-pairs""; ""7.6. Variation of Ï€[sub(0)](Z(x,y)) as x varies""; ""Chapter 8. C-triples""; ""8.1. c-triples of rank zero""; ""8.2. The maximal torus of a c-triple of order k""; ""8.3. The number of components"" ""10.2. Flat connections and the Chern-Simons invariant"" |
| Record Nr. | UNINA-9910480939903321 |
|
Borel Armand
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Almost commuting elements in compact Lie groups / / Armand Borel, Robert Friedman, John W. Morgan
| Almost commuting elements in compact Lie groups / / Armand Borel, Robert Friedman, John W. Morgan |
| Autore | Borel Armand |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (153 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Lie groups
Compact groups Root systems (Algebra) |
| ISBN | 1-4704-0340-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1.1. Preliminaries""; ""1.2. The case of commuting pairs in a simply connected group""; ""1.3. c-pairs""; ""1.4. Commuting triples""; ""1.5. C-triples""; ""1.6. Quotients of diagram automorphisms""; ""1.7. Description of S(k) and S[sup(Ï?c)](g,k)""; ""1.8. Chern-Simons invariants and Witten's ""Clockwise Symmetry Conjecture""""; ""1.9. Outline of the paper""; ""1.10. History""; ""Chapter 2. Almost commuting N-tuples""; ""2.1. An invariant for almost commuting N-tuples""; ""2.2. The case of rank zero""; ""2.3. The case of arbitrary rank""
""Chapter 3. Some characterizations of groups of type A""""3.1. Generalities on subroot systems""; ""3.2. Action of CG on an alcove""; ""3.3. A first characterization of groups of type A""; ""3.4. Subgroups associated with elements of the center""; ""3.5. A further characterization of products of groups of type A""; ""3.6. A consequence of Proposition 3.5.1""; ""3.7. Application to generalized Cartan matrices and affine diagrams""; ""3.8. Numerology of clockwise symmetry""; ""Chapter 4. c-pairs""; ""4.1. The rank zero case""; ""4.2. The general case""; ""Chapter 5. Commuting triples"" ""5.1. Commuting triples of rank zero""""5.2. A list of all simple groups with rank zero commuting triples""; ""5.3. Action of the outer automorphism group of G""; ""5.4. Action of the center of G""; ""5.5. The general case""; ""Chapter 6. Some results on diagram automorphisms and associated root systems""; ""6.1. A chamber structure and a Coxeter group on the fixed subspace""; ""6.2. The restricted root system and the projection root system""; ""6.3. Generalized Cartan matrices for Î?[sup(res)](l) and Î?[sup(proj)](l)[sup(v)]""; ""6.4. The case of an outer automorphism"" ""6.5. Further results under an additional hypothesis""""6.6. The case of a subgroup of CÎ?""; ""6.7. Proof of Theorem 1.6.2""; ""Chapter 7. The fixed subgroup of an automorphism""; ""7.1. A first description of the component group""; ""7.2. Special automorphisms""; ""7.3. A complete description of the component group""; ""7.4. The roots of H[sup(Ï?)]""; ""7.5. The case of c-pairs""; ""7.6. Variation of Ï€[sub(0)](Z(x,y)) as x varies""; ""Chapter 8. C-triples""; ""8.1. c-triples of rank zero""; ""8.2. The maximal torus of a c-triple of order k""; ""8.3. The number of components"" ""10.2. Flat connections and the Chern-Simons invariant"" |
| Record Nr. | UNINA-9910788846203321 |
|
Borel Armand
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Almost commuting elements in compact Lie groups / / Armand Borel, Robert Friedman, John W. Morgan
| Almost commuting elements in compact Lie groups / / Armand Borel, Robert Friedman, John W. Morgan |
| Autore | Borel Armand |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (153 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Lie groups
Compact groups Root systems (Algebra) |
| ISBN | 1-4704-0340-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1.1. Preliminaries""; ""1.2. The case of commuting pairs in a simply connected group""; ""1.3. c-pairs""; ""1.4. Commuting triples""; ""1.5. C-triples""; ""1.6. Quotients of diagram automorphisms""; ""1.7. Description of S(k) and S[sup(Ï?c)](g,k)""; ""1.8. Chern-Simons invariants and Witten's ""Clockwise Symmetry Conjecture""""; ""1.9. Outline of the paper""; ""1.10. History""; ""Chapter 2. Almost commuting N-tuples""; ""2.1. An invariant for almost commuting N-tuples""; ""2.2. The case of rank zero""; ""2.3. The case of arbitrary rank""
""Chapter 3. Some characterizations of groups of type A""""3.1. Generalities on subroot systems""; ""3.2. Action of CG on an alcove""; ""3.3. A first characterization of groups of type A""; ""3.4. Subgroups associated with elements of the center""; ""3.5. A further characterization of products of groups of type A""; ""3.6. A consequence of Proposition 3.5.1""; ""3.7. Application to generalized Cartan matrices and affine diagrams""; ""3.8. Numerology of clockwise symmetry""; ""Chapter 4. c-pairs""; ""4.1. The rank zero case""; ""4.2. The general case""; ""Chapter 5. Commuting triples"" ""5.1. Commuting triples of rank zero""""5.2. A list of all simple groups with rank zero commuting triples""; ""5.3. Action of the outer automorphism group of G""; ""5.4. Action of the center of G""; ""5.5. The general case""; ""Chapter 6. Some results on diagram automorphisms and associated root systems""; ""6.1. A chamber structure and a Coxeter group on the fixed subspace""; ""6.2. The restricted root system and the projection root system""; ""6.3. Generalized Cartan matrices for Î?[sup(res)](l) and Î?[sup(proj)](l)[sup(v)]""; ""6.4. The case of an outer automorphism"" ""6.5. Further results under an additional hypothesis""""6.6. The case of a subgroup of CÎ?""; ""6.7. Proof of Theorem 1.6.2""; ""Chapter 7. The fixed subgroup of an automorphism""; ""7.1. A first description of the component group""; ""7.2. Special automorphisms""; ""7.3. A complete description of the component group""; ""7.4. The roots of H[sup(Ï?)]""; ""7.5. The case of c-pairs""; ""7.6. Variation of Ï€[sub(0)](Z(x,y)) as x varies""; ""Chapter 8. C-triples""; ""8.1. c-triples of rank zero""; ""8.2. The maximal torus of a c-triple of order k""; ""8.3. The number of components"" ""10.2. Flat connections and the Chern-Simons invariant"" |
| Record Nr. | UNINA-9910812749903321 |
|
Borel Armand
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space [[electronic resource] /] / by Konrad Schmüdgen
| An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space [[electronic resource] /] / by Konrad Schmüdgen |
| Autore | Schmüdgen Konrad |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (XVIII, 381 p. 9 illus.) |
| Disciplina | 515.724 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico |
Operator theory
Mathematical physics Associative rings Rings (Algebra) Topological groups Lie groups Operator Theory Mathematical Physics Associative Rings and Algebras Topological Groups, Lie Groups |
| ISBN | 3-030-46366-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | General Notation -- 1 Prologue: The Algebraic Approach to Quantum Theories -- 2 ∗-Algebras -- 3 O*-Algebras -- 4 ∗-Representations -- 5 Positive Linear Functionals -- 6 Representations of Tensor Algebras -- 7 Integrable Representations of Commutative ∗-Algebras -- 8 The Weyl Algebra and the Canonical Commutation Relation -- 9 Integrable Representations of Enveloping Algebras -- 10 Archimedean Quadratic Modules and Positivstellensätze -- 11 The Operator Relation XX*=F(X*X) -- 12 Induced ∗-Representations -- 13 Well-behaved ∗-Representations -- 14 Representations on Rigged Spaces and Hilbert C*-modules. A Unbounded Operators on Hilbert Space -- B C*-Algebras and Representations -- C Locally Convex Spaces and Separation of Convex Sets -- References -- Symbol Index -- Subject Index. |
| Record Nr. | UNISA-996418262403316 |
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Schmüdgen Konrad
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||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space [[electronic resource] /] / by Konrad Schmüdgen
| An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space [[electronic resource] /] / by Konrad Schmüdgen |
| Autore | Schmüdgen Konrad |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (XVIII, 381 p. 9 illus.) |
| Disciplina | 515.724 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico |
Operator theory
Mathematical physics Associative rings Rings (Algebra) Topological groups Lie groups Operator Theory Mathematical Physics Associative Rings and Algebras Topological Groups, Lie Groups |
| ISBN | 3-030-46366-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | General Notation -- 1 Prologue: The Algebraic Approach to Quantum Theories -- 2 ∗-Algebras -- 3 O*-Algebras -- 4 ∗-Representations -- 5 Positive Linear Functionals -- 6 Representations of Tensor Algebras -- 7 Integrable Representations of Commutative ∗-Algebras -- 8 The Weyl Algebra and the Canonical Commutation Relation -- 9 Integrable Representations of Enveloping Algebras -- 10 Archimedean Quadratic Modules and Positivstellensätze -- 11 The Operator Relation XX*=F(X*X) -- 12 Induced ∗-Representations -- 13 Well-behaved ∗-Representations -- 14 Representations on Rigged Spaces and Hilbert C*-modules. A Unbounded Operators on Hilbert Space -- B C*-Algebras and Representations -- C Locally Convex Spaces and Separation of Convex Sets -- References -- Symbol Index -- Subject Index. |
| Record Nr. | UNINA-9910483860103321 |
|
Schmüdgen Konrad
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group / / Claus Mokler
| An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group / / Claus Mokler |
| Autore | Mokler Claus <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Lie groups Algebroids |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0424-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Contents""; ""Chapter 1. Preliminaries""; ""1.1. Kac-Moody algebras, Kac-Moody groups and the algebra of strongly regular functions""; ""1.2. A generalization of affine toric varieties""; ""Chapter 2. The monoid G and its structure""; ""2.1. The face lattice of the Tits cone""; ""2.2. The definition of the monoid G""; ""2.3. Formulas for computations in G""; ""2.4. The unit regularity of G""; ""2.5. The Weyl monoid W and the monoids T, N""; ""2.6. Some double coset partitions of G""; ""2.7. Constructing G from the twin root datum"" |
| Record Nr. | UNINA-9910480873903321 |
|
Mokler Claus <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group / / Claus Mokler
| An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group / / Claus Mokler |
| Autore | Mokler Claus <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Lie groups Algebroids |
| ISBN | 1-4704-0424-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Contents""; ""Chapter 1. Preliminaries""; ""1.1. Kac-Moody algebras, Kac-Moody groups and the algebra of strongly regular functions""; ""1.2. A generalization of affine toric varieties""; ""Chapter 2. The monoid G and its structure""; ""2.1. The face lattice of the Tits cone""; ""2.2. The definition of the monoid G""; ""2.3. Formulas for computations in G""; ""2.4. The unit regularity of G""; ""2.5. The Weyl monoid W and the monoids T, N""; ""2.6. Some double coset partitions of G""; ""2.7. Constructing G from the twin root datum"" |
| Record Nr. | UNINA-9910788748603321 |
|
Mokler Claus <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group / / Claus Mokler
| An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group / / Claus Mokler |
| Autore | Mokler Claus <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Lie groups Algebroids |
| ISBN | 1-4704-0424-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Contents""; ""Chapter 1. Preliminaries""; ""1.1. Kac-Moody algebras, Kac-Moody groups and the algebra of strongly regular functions""; ""1.2. A generalization of affine toric varieties""; ""Chapter 2. The monoid G and its structure""; ""2.1. The face lattice of the Tits cone""; ""2.2. The definition of the monoid G""; ""2.3. Formulas for computations in G""; ""2.4. The unit regularity of G""; ""2.5. The Weyl monoid W and the monoids T, N""; ""2.6. Some double coset partitions of G""; ""2.7. Constructing G from the twin root datum"" |
| Record Nr. | UNINA-9910829181003321 |
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Mokler Claus <1962->
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| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analyse harmonique commutative / A. Guichardet
| Analyse harmonique commutative / A. Guichardet |
| Autore | Guichardet, Alain |
| Pubbl/distr/stampa | Paris : Dunod, 1968 |
| Descrizione fisica | ix, 130 p. ; 24 cm. |
| Collana | Collection universitaire de mathématiques ; 26 |
| Soggetto topico |
Fourier transforms
Lie groups |
| Classificazione | AMS 43A25 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNISALENTO-991000677279707536 |
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Guichardet, Alain
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| Paris : Dunod, 1968 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Soggetto topico
-
Lie groups
(513)
- Topological groups (174)
- Topological Groups, Lie Groups (147)
- Representations of groups (68)
- Lie algebras (59)