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Cohomological Tensor Functors on Representations of the General Linear Supergroup
| Cohomological Tensor Functors on Representations of the General Linear Supergroup |
| Autore | Heidersdorf Thorsten |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2021 |
| Descrizione fisica | 1 online resource (118 pages) |
| Disciplina | 512/.57 |
| Altri autori (Persone) | WeissauerRainer |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Tensor algebra
Tensor products Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights) Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Simple, semisimple, reductive (super)algebras Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Homological methods in Lie (super)algebras Category theory; homological algebra -- Categories with structure -- Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories Group theory and generalizations -- Linear algebraic groups and related topics -- Representation theory |
| ISBN |
9781470465285
1470465280 |
| Classificazione | 17B1017B2017B5518D1020G05 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Cohomological Tensor Functors -- 2.1. The superlinear groups -- 2.2. The Duflo-Serganova functor -- 2.3. Cohomology functors -- 2.4. Support varieties and the kernel of -- 2.5. The tensor functor -- 2.6. The relation between ( ) and ( ) -- 2.7. Hodge decomposition -- 2.8. The case > -- 1 -- 2.9. Boundary maps -- 2.10. Highest weight modules -- 2.11. The Casimir -- Chapter 3. The Main Theorem and its Proof -- 3.1. The language of Brundan and Stroppel -- 3.2. On segments, sectors and plots -- 3.3. Mixed tensors and ground states -- 3.4. Sign normalizations -- 3.5. The main theorem -- 3.6. Strategy of the proof -- 3.7. Modules of Loewy length 3 -- 3.8. Inductive Control over -- 3.9. Moves -- Chapter 4. Consequences of the Main Theorem -- 4.1. Tannaka Duals -- 4.2. Cohomology I -- 4.3. Cohomology II -- 4.4. Cohomology III -- 4.5. The forest formula -- 4.6. -module structure on the cohomology ^{∙}_{ _{ }} -- 4.7. Primitive elements of ^{∙}_{ _{ }}( (1)) -- 4.8. Kac module of 1 -- 4.9. Strict morphisms -- 4.10. The module (( )ⁿ) -- 4.11. The basic hook representations -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910957044903321 |
Heidersdorf Thorsten
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| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential tensor algebras and their module categories / R. Bautista, L. Salmerón and R. Zuazua
| Differential tensor algebras and their module categories / R. Bautista, L. Salmerón and R. Zuazua |
| Autore | Bautista, R. |
| Pubbl/distr/stampa | Cambridge, UK ; New York : Cambridge University Press, c2009 |
| Descrizione fisica | ix, 452 p. : ill. ; 23 cm |
| Disciplina | 512.57 |
| Altri autori (Persone) |
Salmerón, L.
Zuazua, R. |
| Collana | London Mathematical Society lecture note series ; 362 |
| Soggetto topico |
Tensor algebra
Representations of algebras Categories (Mathematics) |
| ISBN | 9780521757683 |
| Classificazione |
AMS 16D90
LC QA200.B38 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000576369707536 |
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Bautista, R.
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| Cambridge, UK ; New York : Cambridge University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Foundations of the theory of algebraic invariants / G. B. Gurevich ; translated by J. R. M. Radok and A. J. M. Spencer
| Foundations of the theory of algebraic invariants / G. B. Gurevich ; translated by J. R. M. Radok and A. J. M. Spencer |
| Autore | Gurevich, G. B. |
| Pubbl/distr/stampa | Groningen, Netherlands : P. Noordhoff, 1964 |
| Descrizione fisica | viii, 429 p. ; 23 cm. |
| Altri autori (Persone) |
Radok, J. R. M.
Spencer, A. J. M. |
| Soggetto topico |
Tensor algebra
Theory of invariants Vectors |
| Classificazione | AMS 15A72 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000907969707536 |
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Gurevich, G. B.
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| Groningen, Netherlands : P. Noordhoff, 1964 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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From vectors to tensors / Juan Ramón Ruiz-Tolosa, Enrique Castillo
| From vectors to tensors / Juan Ramón Ruiz-Tolosa, Enrique Castillo |
| Autore | Ruíz-Tolosa, Juan Ramón |
| Pubbl/distr/stampa | Berlin : Springer, c2005 |
| Descrizione fisica | xvi, 670 p. : ill. ; 24 cm |
| Disciplina | 512.5 |
| Altri autori (Persone) | Castillo, Enriqueauthor |
| Collana | Universitext |
| Soggetto topico |
Vector algebra
Vector analysis Tensor algebra Calculus of tensors |
| ISBN | 9783540228875 |
| Classificazione |
AMS 15A60
AMS 15A72 LC QA433 510.15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000769119707536 |
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Ruíz-Tolosa, Juan Ramón
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| Berlin : Springer, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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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 |
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Andruskiewitsch Nicolás
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| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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An introduction to tensor analysis / / Bipin Singh Koranga, Sanjay Kumar Padaliya
| An introduction to tensor analysis / / Bipin Singh Koranga, Sanjay Kumar Padaliya |
| Autore | Koranga Bipin Singh |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Gistrup, Denmark : , : River Publishers, , [2020] |
| Descrizione fisica | 1 online resource (128 pages) |
| Disciplina | 515.724 |
| Collana | River Publishers Series in Mathematical and Engineering Sciences |
| Soggetto topico | Tensor algebra |
| ISBN |
1-00-333719-8
1-003-33719-8 1-000-79591-8 87-7022-580-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910794453103321 |
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Koranga Bipin Singh
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| Gistrup, Denmark : , : River Publishers, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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An introduction to tensor analysis / / Bipin Singh Koranga, Sanjay Kumar Padaliya
| An introduction to tensor analysis / / Bipin Singh Koranga, Sanjay Kumar Padaliya |
| Autore | Koranga Bipin Singh |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Gistrup, Denmark : , : River Publishers, , [2020] |
| Descrizione fisica | 1 online resource (128 pages) |
| Disciplina | 515.724 |
| Collana | River Publishers Series in Mathematical and Engineering Sciences |
| Soggetto topico | Tensor algebra |
| ISBN |
1-00-333719-8
1-003-33719-8 1-000-79591-8 87-7022-580-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910821295003321 |
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Koranga Bipin Singh
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| Gistrup, Denmark : , : River Publishers, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Matrices and tensors in signal processing set . Volume 1 From algebraic structures to tensors / / edited by Gérard Favier
| Matrices and tensors in signal processing set . Volume 1 From algebraic structures to tensors / / edited by Gérard Favier |
| Pubbl/distr/stampa | Hoboken, NJ : , : Wiley, , [2019] |
| Descrizione fisica | 1 online resource |
| Disciplina | 512/.57 |
| Soggetto topico |
Tensor algebra
Matrices Algebraic spaces |
| ISBN |
1-119-68109-X
1-119-68111-1 1-119-68113-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Volume 1. From algebraic structures to tensors. |
| Record Nr. | UNINA-9910555268603321 |
| Hoboken, NJ : , : Wiley, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Matrices and tensors in signal processing set . Volume 1 From algebraic structures to tensors / / edited by Gerard Favier
| Matrices and tensors in signal processing set . Volume 1 From algebraic structures to tensors / / edited by Gerard Favier |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | London : , : ISTE : , : Wiley, , 2019 |
| Descrizione fisica | 1 online resource |
| Disciplina | 512.9 |
| Collana | Digital signal and image processing series |
| Soggetto topico |
Tensor algebra
Matrices Algebraic spaces |
| ISBN |
9781119681090
111968109X 9781119681113 1119681111 9781119681137 1119681138 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Volume 1. From algebraic structures to tensors. |
| Record Nr. | UNINA-9910816024503321 |
| London : , : ISTE : , : Wiley, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Schaum's outline of theory and problems of vector analysis and an introduction to tensor analysis / by Murray R. Spiegel
| Schaum's outline of theory and problems of vector analysis and an introduction to tensor analysis / by Murray R. Spiegel |
| Autore | Spiegel, Murray R. |
| Pubbl/distr/stampa | New York : McGraw-Hill, c1959 |
| Descrizione fisica | 225 p. ; 27 cm. |
| Disciplina | 512.523 |
| Collana | Schaum's outline series |
| Soggetto topico |
Tensor algebra
Theory of invariants Vector algebra |
| Classificazione | AMS 15A72 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001315149707536 |
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Spiegel, Murray R.
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| New York : McGraw-Hill, c1959 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Soggetto topico
-
Tensor algebra
(24)
- Calculus of tensors (4)
- Tensor products (4)
- Theory of invariants (4)
- Vector algebra (4)