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Squared Hopf algebras / / Volodymyr V. Lyubashenko
| Squared Hopf algebras / / Volodymyr V. Lyubashenko |
| Autore | Lyubashenko Volodymyr V. <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (197 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Hopf algebras |
| ISBN | 1-4704-0268-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Tools""; ""1.1. Tensor product of abelian categories""; ""1.2. Monoidal categories""; ""1.3. Monoidal abelian categories""; ""1.4. Symmetric monoidal 2-category of abelian categories""; ""1.5. System of notations""; ""1.6. Monoidal structures on V [omitted] V""; ""1.7. Ind-objects""; ""1.8. Rigid-abelian categories""; ""Chapter 2. Squared coalgebras""; ""2.1. Definitions""; ""2.2. Comodules""; ""2.3. The fundamental theorem on coalgebras""; ""2.4. Relationship between categories of comodules""; ""2.5. The category of fibre functors""
""2.6. Reconstruction theorems""""2.7. Comodules over ordinary coalgebras""; ""2.8. Construction data""; ""Chapter 3. Squared bicoalgebras""; ""3.1. Tensor product of squared coalgebras""; ""3.2. Bicoalgebras""; ""3.3. Monoidal construction data""; ""3.4. Tensor generators and relations""; ""3.5. Relationship with braided bialgebras""; ""3.6. Commutative algebras and braiding""; ""Chapter 4. Hopf coalgebras""; ""4.1. Opposite coalgebras""; ""4.2. Comparison with opposite coalgebra in braided case""; ""4.3. The antipode""; ""4.4. Comparison with braided Hopf algebras"" ""4.5. Multiplication in the opposite bialgebra""""4.6. Reconstruction of rigid monoidal categories""; ""Chapter 5. Quasitriangular Hopf coalgebras""; ""5.1. R-matrices in Hopf coalgebras""; ""5.2. Braiding for comodules over a braided Hopf algebra""; ""5.3. Constructing braided categories""; ""5.4. Ribbon Hopf coalgebras""; ""5.5. Ribbon reconstruction""; ""Appendix A. Symmetric monoidal 2-categories""; ""A.1. A review of 2-categories""; ""A.2. 2-pasting schemes""; ""A.3. Weak 2-pasting""; ""A.4. Weak 3-categories""; ""A.5. A monoidal 2-category of abelian categories"" ""A.6. Symmetric monoidal 2-categories""""A.7. A symmetric monoidal 2-category of abelian categories""; ""Bibliography"" |
| Record Nr. | UNINA-9910788739403321 |
Lyubashenko Volodymyr V. <1959->
|
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| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Squared Hopf algebras / / Volodymyr V. Lyubashenko
| Squared Hopf algebras / / Volodymyr V. Lyubashenko |
| Autore | Lyubashenko Volodymyr V. <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (197 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Hopf algebras |
| ISBN | 1-4704-0268-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Tools""; ""1.1. Tensor product of abelian categories""; ""1.2. Monoidal categories""; ""1.3. Monoidal abelian categories""; ""1.4. Symmetric monoidal 2-category of abelian categories""; ""1.5. System of notations""; ""1.6. Monoidal structures on V [omitted] V""; ""1.7. Ind-objects""; ""1.8. Rigid-abelian categories""; ""Chapter 2. Squared coalgebras""; ""2.1. Definitions""; ""2.2. Comodules""; ""2.3. The fundamental theorem on coalgebras""; ""2.4. Relationship between categories of comodules""; ""2.5. The category of fibre functors""
""2.6. Reconstruction theorems""""2.7. Comodules over ordinary coalgebras""; ""2.8. Construction data""; ""Chapter 3. Squared bicoalgebras""; ""3.1. Tensor product of squared coalgebras""; ""3.2. Bicoalgebras""; ""3.3. Monoidal construction data""; ""3.4. Tensor generators and relations""; ""3.5. Relationship with braided bialgebras""; ""3.6. Commutative algebras and braiding""; ""Chapter 4. Hopf coalgebras""; ""4.1. Opposite coalgebras""; ""4.2. Comparison with opposite coalgebra in braided case""; ""4.3. The antipode""; ""4.4. Comparison with braided Hopf algebras"" ""4.5. Multiplication in the opposite bialgebra""""4.6. Reconstruction of rigid monoidal categories""; ""Chapter 5. Quasitriangular Hopf coalgebras""; ""5.1. R-matrices in Hopf coalgebras""; ""5.2. Braiding for comodules over a braided Hopf algebra""; ""5.3. Constructing braided categories""; ""5.4. Ribbon Hopf coalgebras""; ""5.5. Ribbon reconstruction""; ""Appendix A. Symmetric monoidal 2-categories""; ""A.1. A review of 2-categories""; ""A.2. 2-pasting schemes""; ""A.3. Weak 2-pasting""; ""A.4. Weak 3-categories""; ""A.5. A monoidal 2-category of abelian categories"" ""A.6. Symmetric monoidal 2-categories""""A.7. A symmetric monoidal 2-category of abelian categories""; ""Bibliography"" |
| Record Nr. | UNINA-9910818968403321 |
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Lyubashenko Volodymyr V. <1959->
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||
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Taming wild extensions : Hopf algebras and local Galois module theory / Lindsay N. Childs
| Taming wild extensions : Hopf algebras and local Galois module theory / Lindsay N. Childs |
| Autore | Childs, Lindsay N. |
| Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society, c2000 |
| Descrizione fisica | viii, 215 p. ; 27 cm |
| Disciplina | 512.55 |
| Collana | Mathematical surveys and monographs, 0076-5376 ; 80 |
| Soggetto topico |
Field extensions (Mathematics)
Galois modules (Algebra) Hopf algebras |
| ISBN | 0821821318 |
| Classificazione |
AMS 11R33
AMS 11S31 AMS 12F10 AMS 14L05 AMS 14L15 AMS 16W30 QA613.8.C48 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001411359707536 |
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Childs, Lindsay N.
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| Providence, R. I. : American Mathematical Society, c2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Tensor categories / Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik
| Tensor categories / Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik |
| Autore | Etingof, Pavel I. |
| Descrizione fisica | xvi, 343 pages ; 26 cm |
| Disciplina | 512/.57 |
| Altri autori (Persone) |
Gelaki, Shlomoauthor
Nikshych, Dmitriauthor Ostrik, Victor |
| Collana | Mathematical surveys and monographs ; 205 |
| Soggetto topico |
Algebraic topology
Tensor fields Categories (Mathematics) Hopf algebras |
| ISBN | 9781470434410 |
| Classificazione |
LC QA612
AMS 17B37 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Abelian categories -- Monoidal categories -- Z₊-rings -- Tensor categories -- Representation categories of Hopf algebras -- Finite tensor categories -- Module categories -- Braided categories -- Fusion categories |
| Record Nr. | UNISALENTO-991003762059707536 |
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Etingof, Pavel I.
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| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Tensor categories and Hopf algebras : Scientific session of the Mathematical Congress of the Americas on Hopf Algebras and Tensor Categories, July 27-28, 2017, Montreal, Canada / / Nicolás Andruskiewitsch, Dmitri Nikshych, editors
| Tensor categories and Hopf algebras : Scientific session of the Mathematical Congress of the Americas on Hopf Algebras and Tensor Categories, July 27-28, 2017, Montreal, Canada / / Nicolás Andruskiewitsch, Dmitri Nikshych, editors |
| Autore | Andruskiewitsch Nicolás |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2019] |
| Descrizione fisica | 1 online resource (210 pages) |
| Disciplina | 512/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Hopf algebras
Tensor fields |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-5239-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | On finite GK-dimensional Nichols algebras of diagonal type / Nicolás Andruskiewitsch, Iván Angiono, and István Heckenberger -- On nonassociative graded-simple algebras over the field of real numbers / Yuri Bahturin and Mikhail Kochetov -- Nonsemisimple Hopf algebras of dimension 8p with the Chevalley property / Margaret Beattie, Gastón A. García, Siu-Hung Ng, and Jolie Roat -- Pointed braided tensor categories / Costel-Gabriel Bontea and Dmitri Nikshych -- Eigenvalues of the squared antipode in finite dimensional weak Hopf algebras / Pavel Etingof (with an appendix by Gregor Schaumann) -- Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions / Ji-Wei He and Yinhuo Zhang -- Bialgebra coverings and transfer of structure / Aaron Lauve and Mitja Mastnak -- Classifying braidings on fusion categories / Dmitri Nikshych -- Remarks on global dimensions of fusion categories (with an appendix by Pavel Etingof and Victor Ostrik) / Victor Ostrik -- On Hopf algebras with triangular decomposition / Cristian Vay. |
| Record Nr. | UNINA-9910480292503321 |
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Andruskiewitsch Nicolás
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| Providence, Rhode Island : , : American Mathematical Society, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tensor categories and Hopf algebras : Scientific session of the Mathematical Congress of the Americas on Hopf Algebras and Tensor Categories, July 27-28, 2017, Montreal, Canada / / Nicolás Andruskiewitsch, Dmitri Nikshych, editors
| Tensor categories and Hopf algebras : Scientific session of the Mathematical Congress of the Americas on Hopf Algebras and Tensor Categories, July 27-28, 2017, Montreal, Canada / / Nicolás Andruskiewitsch, Dmitri Nikshych, editors |
| Autore | Andruskiewitsch Nicolás |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2019] |
| Descrizione fisica | 1 online resource (210 pages) |
| Disciplina | 512/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Hopf algebras
Tensor fields |
| ISBN | 1-4704-5239-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | On finite GK-dimensional Nichols algebras of diagonal type / Nicolás Andruskiewitsch, Iván Angiono, and István Heckenberger -- On nonassociative graded-simple algebras over the field of real numbers / Yuri Bahturin and Mikhail Kochetov -- Nonsemisimple Hopf algebras of dimension 8p with the Chevalley property / Margaret Beattie, Gastón A. García, Siu-Hung Ng, and Jolie Roat -- Pointed braided tensor categories / Costel-Gabriel Bontea and Dmitri Nikshych -- Eigenvalues of the squared antipode in finite dimensional weak Hopf algebras / Pavel Etingof (with an appendix by Gregor Schaumann) -- Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions / Ji-Wei He and Yinhuo Zhang -- Bialgebra coverings and transfer of structure / Aaron Lauve and Mitja Mastnak -- Classifying braidings on fusion categories / Dmitri Nikshych -- Remarks on global dimensions of fusion categories (with an appendix by Pavel Etingof and Victor Ostrik) / Victor Ostrik -- On Hopf algebras with triangular decomposition / Cristian Vay |
| Record Nr. | UNINA-9910793414103321 |
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Andruskiewitsch Nicolás
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tensor categories and Hopf algebras : Scientific session of the Mathematical Congress of the Americas on Hopf Algebras and Tensor Categories, July 27-28, 2017, Montreal, Canada / / Nicolás Andruskiewitsch, Dmitri Nikshych, editors
| Tensor categories and Hopf algebras : Scientific session of the Mathematical Congress of the Americas on Hopf Algebras and Tensor Categories, July 27-28, 2017, Montreal, Canada / / Nicolás Andruskiewitsch, Dmitri Nikshych, editors |
| Autore | Andruskiewitsch Nicolás |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2019] |
| Descrizione fisica | 1 online resource (210 pages) |
| Disciplina | 512/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Hopf algebras
Tensor fields |
| ISBN | 1-4704-5239-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | On finite GK-dimensional Nichols algebras of diagonal type / Nicolás Andruskiewitsch, Iván Angiono, and István Heckenberger -- On nonassociative graded-simple algebras over the field of real numbers / Yuri Bahturin and Mikhail Kochetov -- Nonsemisimple Hopf algebras of dimension 8p with the Chevalley property / Margaret Beattie, Gastón A. García, Siu-Hung Ng, and Jolie Roat -- Pointed braided tensor categories / Costel-Gabriel Bontea and Dmitri Nikshych -- Eigenvalues of the squared antipode in finite dimensional weak Hopf algebras / Pavel Etingof (with an appendix by Gregor Schaumann) -- Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions / Ji-Wei He and Yinhuo Zhang -- Bialgebra coverings and transfer of structure / Aaron Lauve and Mitja Mastnak -- Classifying braidings on fusion categories / Dmitri Nikshych -- Remarks on global dimensions of fusion categories (with an appendix by Pavel Etingof and Victor Ostrik) / Victor Ostrik -- On Hopf algebras with triangular decomposition / Cristian Vay |
| Record Nr. | UNINA-9910825726903321 |
|
Andruskiewitsch Nicolás
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||
| Providence, Rhode Island : , : American Mathematical Society, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Theory of Hopf algebras attached to group schemes / / H. Yanagihara
| Theory of Hopf algebras attached to group schemes / / H. Yanagihara |
| Autore | Yanagihara Hiroshi <1934-> |
| Edizione | [1st ed. 1977.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1977] |
| Descrizione fisica | 1 online resource (CCCXX, 310 p.) |
| Disciplina | 512.55 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Group schemes (Mathematics)
Hopf algebras |
| ISBN | 3-540-37077-3 |
| Classificazione | 14L15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Group schemes over a field -- Group subschemes of a group scheme -- Coalgebras over a field -- Hopf algebras over a field -- Structures of colocal bigebras -- Formal groups over a field -- Structures of formal groups as local rings -- Algebraic Hopf subalgebras -- Rational representations of group schemes -- Joins and intersections of group subschemes -- Adjoint representations of group schemes -- Normalizers of Hopf subalgebras and group subschemes -- Centralizers of Hopf subalgebras and group subschemes -- Commutators of Hopf subalgebras and group subschemes -- Lie algebras attached to group schemes -- Left invariant semi-derivations of group varieties -- Algebraic schemes on which a group scheme operates -- Isogenies of group varieties -- Kernels of purely inseparable isogenies. |
| Record Nr. | UNISA-996466490103316 |
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Yanagihara Hiroshi <1934->
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| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Theory of Hopf algebras attached to group schemes / Hiroshi Yanagihara
| Theory of Hopf algebras attached to group schemes / Hiroshi Yanagihara |
| Autore | Yanagihara, Hiroshi |
| Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1977 |
| Descrizione fisica | vii, 308 p. ; 25 cm. |
| Disciplina | 516.35 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 614 |
| Soggetto topico |
Group schemes
Hopf algebras |
| ISBN | 3540084444 |
| Classificazione | AMS 14L |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001434299707536 |
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Yanagihara, Hiroshi
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| Berlin ; New York : Springer-Verlag, 1977 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Umbral calculus and Hopf algebras / [edited by Robert Morris]
| Umbral calculus and Hopf algebras / [edited by Robert Morris] |
| Autore | Morris, Robert A. |
| Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society, c1982 |
| Descrizione fisica | viii, 84 p. : ill. ; 26 cm. |
| Disciplina | 511.6 |
| Collana | Contsemporary mathematics, ISSN 02714132 ; 6 |
| Soggetto topico |
Calculus
Combinatorial analysis Hopf algebras |
| ISBN | 0821850032 |
| Classificazione |
AMS 05-02
AMS 05B20 AMS 05B30 AMS 16D60 AMS 16W30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001465099707536 |
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Morris, Robert A.
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| Providence, R. I. : American Mathematical Society, c1982 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Soggetto topico
-
Hopf algebras
(76)
- Quantum groups (12)
- Lie superalgebras (6)
- Combinatorial analysis (5)
- Calculus (4)