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Group actions on rings / / Susan Montgomery, editor
| Group actions on rings / / Susan Montgomery, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1985] |
| Descrizione fisica | 1 online resource (290 p.) |
| Disciplina | 512/.4 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Associative rings
Group actions (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7628-7
0-8218-5394-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Automorphfsms of the Free Algebra of Rank Two""""Toward Multiplicative Invariant Theory""; ""Invariants of Finite Linear Groups Acting on Relatively Free Algebras: A Survey""; ""Noncommutative Invariant Theory""; ""1. Introduction.""; ""2. T-ideals and Relatively Free Rings.""; ""3. The Representation Theory of GL(n,K).""; ""4. Hilbert Series and Character Series of Relatively Free Algebras.""; ""5. Holien's Theorem for Relatively Free Algebras.""; ""6. Finite Generation of Rings of Invariants.""; ""7. Relative Freeness of Rings of Invariants.""; ""8. The Ring of Generic Matrices.""
""9. Homogeneous C*-algebras and Azumaya Algebras.""""Invariants and Formal Group Law Actions""; ""Classification of Compact Group Actions on Locally""; ""The Rohlin Property for Automorphisms of UHF C*-Algebras""; ""Invariant Theory of Commutative Rings""; ""Index for Subrings of Rings""; ""Duality for Actions and Coactions of Groups""; ""Algebraic Crossed Products""; ""K-Theoretic Freeness of Finite Group Actions on C*-Algebras""; ""Skew Group Rings in the Computation of Grothendieck Groups and in the Representation Theory of Artin Algebras"" ""K-Theory of Crossed Products of C*-Algebras by Discrete Groups""""Groups Acting on Fields: Noether's Problem"" |
| Record Nr. | UNINA-9910480465703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1985] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Group actions on rings / / Susan Montgomery, editor
| Group actions on rings / / Susan Montgomery, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1985] |
| Descrizione fisica | 1 online resource (290 p.) |
| Disciplina | 512/.4 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Associative rings
Group actions (Mathematics) |
| ISBN |
0-8218-7628-7
0-8218-5394-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Automorphfsms of the Free Algebra of Rank Two -- Toward Multiplicative Invariant Theory -- Invariants of Finite Linear Groups Acting on Relatively Free Algebras: A Survey -- Noncommutative Invariant Theory -- 1. Introduction. -- 2. T-ideals and Relatively Free Rings. -- 3. The Representation Theory of GL(n,K). -- 4. Hilbert Series and Character Series of Relatively Free Algebras. -- 5. Holien's Theorem for Relatively Free Algebras. -- 6. Finite Generation of Rings of Invariants. -- 7. Relative Freeness of Rings of Invariants. -- 8. The Ring of Generic Matrices. -- 9. Homogeneous C*-algebras and Azumaya Algebras. -- Invariants and Formal Group Law Actions -- Classification of Compact Group Actions on Locally -- The Rohlin Property for Automorphisms of UHF C*-Algebras -- Invariant Theory of Commutative Rings -- Index for Subrings of Rings -- Duality for Actions and Coactions of Groups -- Algebraic Crossed Products -- K-Theoretic Freeness of Finite Group Actions on C*-Algebras -- Skew Group Rings in the Computation of Grothendieck Groups and in the Representation Theory of Artin Algebras -- K-Theory of Crossed Products of C*-Algebras by Discrete Groups -- Groups Acting on Fields: Noether's Problem. |
| Record Nr. | UNINA-9910788783603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1985] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Group actions on rings / / Susan Montgomery, editor
| Group actions on rings / / Susan Montgomery, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1985] |
| Descrizione fisica | 1 online resource (290 p.) |
| Disciplina | 512/.4 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Associative rings
Group actions (Mathematics) |
| ISBN |
0-8218-7628-7
0-8218-5394-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Automorphfsms of the Free Algebra of Rank Two -- Toward Multiplicative Invariant Theory -- Invariants of Finite Linear Groups Acting on Relatively Free Algebras: A Survey -- Noncommutative Invariant Theory -- 1. Introduction. -- 2. T-ideals and Relatively Free Rings. -- 3. The Representation Theory of GL(n,K). -- 4. Hilbert Series and Character Series of Relatively Free Algebras. -- 5. Holien's Theorem for Relatively Free Algebras. -- 6. Finite Generation of Rings of Invariants. -- 7. Relative Freeness of Rings of Invariants. -- 8. The Ring of Generic Matrices. -- 9. Homogeneous C*-algebras and Azumaya Algebras. -- Invariants and Formal Group Law Actions -- Classification of Compact Group Actions on Locally -- The Rohlin Property for Automorphisms of UHF C*-Algebras -- Invariant Theory of Commutative Rings -- Index for Subrings of Rings -- Duality for Actions and Coactions of Groups -- Algebraic Crossed Products -- K-Theoretic Freeness of Finite Group Actions on C*-Algebras -- Skew Group Rings in the Computation of Grothendieck Groups and in the Representation Theory of Artin Algebras -- K-Theory of Crossed Products of C*-Algebras by Discrete Groups -- Groups Acting on Fields: Noether's Problem. |
| Record Nr. | UNINA-9910828509303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1985] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hopf Algebras, Tensor Categories and Related Topics
| Hopf Algebras, Tensor Categories and Related Topics |
| Autore | Andruskiewitsch Nicolás |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2021 |
| Descrizione fisica | 1 online resource (372 pages) |
| Disciplina | 512/.55 |
| Altri autori (Persone) |
LiuGongxiang
MontgomerySusan |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Hopf algebras
Tensor algebra Geometry, Algebraic Algebraic geometry -- Special varieties -- Supervarieties [See also 32C11, 58A50] Associative rings and algebras {For the commutative case, see 13-XX} -- Representation theory of rings and algebras -- Representations of quivers and partially ordered sets Associative rings and algebras {For the commutative case, see 13-XX} -- Rings and algebras arising under various constructions -- Smash products of general Hopf actions [See also 16T05] Associative rings and algebras {For the commutative case, see 13-XX} -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications [See also 16S40, 57T05] Associative rings and algebras {For the commutative case, see 13-XX} -- Hopf algebras, quantum groups and related topics -- Yang-Baxter equations Nonassociative rings and algebras -- Lie algebras and Lie superalgebras {For Lie groups, see 22Exx} -- Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 8 Category theory; homological algebra {For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for $K$-theory [See also 16E20, 18F25] -- Grothendieck groups and $K_0$ [See also 13D15, 18F30] -- Frobenius induction, Burnside and representation rings Group theory and generalizations -- Linear algebraic groups and related topics {For arithmetic theory, see 11E57, 11H56; for geometric theory, see 14Lxx, 22Exx; for other methods in representation the |
| ISBN |
9781470464271
1470464276 |
| Classificazione | 14M3016G2016S4016T0516T2517B3718D1018D2519A2220G42 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title page -- Contents -- Preface -- List of speakers and titles of talks -- BiHom Hopf algebras viewed as Hopf monoids -- Introduction -- 1. Some combinatorial background -- 2. Cosemigroups in ⁺-monoidal categories -- 3. Semigroups in ₊-monoidal categories -- 4. Bisemigroups in ⁺ ₊-duoidal categories -- 5. Comonoids in ⁺ ⁰-monoidal categories -- 6. Monoids in ₀ ₊-monoidal categories -- 7. Bimonoids in ⁺₀ ⁰₊-duoidal categories -- References -- Survey on Hopf algebras of GK-dimension 1 and 2 -- 1. Introduction -- 2. Hopf algebras of GK-dimension 1 -- 3. Hopf algebras of GK-dimension 2 -- 4. Further comments, projects and open questions -- Acknowledgments -- References -- On braided double-biproduct Hopf algebras -- Introduction -- 1. Preliminaries -- 2. Some braided isomorphisms -- 3. Double-biproduct Hopf algebras -- 4. 2-cocycle deformations on double-biproduct Hopf algebras -- 5. Some examples -- Acknowledgments -- References -- Module Eilenberg-Watts calculus -- 1. Introduction -- 2. More about the Eilenberg-Watts calculus -- 3. Balanced functors and twistings -- 4. Eilenberg-Watts calculus for module functors -- 5. Eilenberg-Watts calculus for balanced functors -- 6. Transporting (co)monads along Eilenberg-Watts -- References -- Coherent unit actions on braided operads and Hopf algebras -- 1. Introduction -- 2. Braided algebraic operads -- 3. Coherent unit actions and braided -Hopf algebras -- 4. Criteria for braided binary quadratic regular operads with coherent unit actions -- Acknowledgments -- References -- A novel quantum affine algebra of type ₁⁽¹⁾ and its PBW basis -- 1. Introduction -- 2. Admissible quantum affine algebras _{ }(̂ ₂) of type ₁⁽¹⁾ -- 3. New quantum affine algebra _{ }(̂ ₂) of type ₁⁽¹⁾ and its quantum Weyl group.
4. Definition of imaginary and real root vectors -- 5. A Poincaré-Birkhoff-Witt basis of _{ }(̂ ₂) -- Acknowledgments -- References -- Finite quasi-quantum groups over abelian groups -- 1. Introduction -- 2. Normalized cocycles on finite abelian groups and braided Gr-categories -- 3. Finite quasi-quantum groups of diagonal type: A brief summary -- 4. Finite quasi-quantum groups of nondiagonal type: A first attempt -- 5. Some further problems -- References -- On biproducts and extensions -- Introduction -- 1. Preliminaries -- 2. The biproduct in the first case -- 3. Representations -- 4. Hopf subalgebras of dimension 16 -- 5. Hopf subalgebras of dimension 2 -- 6. Hopf subalgebras of dimensions 4 and 8 -- 7. The biproduct in the second case -- References -- On the notion of exact sequence: From Hopf algebras to tensor categories -- 1. Introduction -- 2. Preliminaries on Hopf algebras and tensor categories -- 3. Exact sequences of Hopf algebras -- 4. Exact sequences of tensor categories -- 5. Exact sequences of finite tensor categories with respect to a module category -- 6. Examples and open questions -- References -- Algebraic supergroups and their representations -- 1. Introduction -- 2. Algebraic supergroups -- 3. Representations of algebraic supergroups -- 4. Quasireductive supergroups admitting maximal parabolic super-subgroups -- Acknowledgments -- References -- Hopf algebraic methods in finite tensor categories: Characters and integrals -- 1. Introduction -- 2. Representation theory and Yetter-Drinfeld modules -- 3. Preliminaries: Finite abelian categories -- 4. Induction to the Drinfeld center -- 5. Categorical class functions -- 6. Integral theory and its applications -- 7. Applications to fusion categories -- Acknowledgments -- References -- Indecomposability of weak Hopf algebras -- 1. Introduction. 2. Definitions and basic properties related with weak bialgebras -- 3. The direct sum construction of weak bialgebras and Hopf algebras -- 4. The direct sum construction of weak Hopf algebras and quantum doubles -- 5. Categorical interpretation of the direct sum construction and its generalizations -- Acknowledgments -- References -- Quasi-Hopf algebras of Cartan type and small quasi-quantum groups -- 1. Introduction -- 2. Preliminaries -- 3. Finite-dimensional Quasi-Hopf algebras -- 4. Genuine Quasi-Hopf algebras of Cartan type -- 5. Small quasi-quantum groups -- References -- Back Cover. |
| Record Nr. | UNINA-9910970687603321 |
Andruskiewitsch Nicolás
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| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||