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Affine flag varieties and quantum symmetric pairs / / Zhaobing Fan [and four others]
Affine flag varieties and quantum symmetric pairs / / Zhaobing Fan [and four others]
Autore Fan Zhaobing
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2020
Descrizione fisica 1 online resource (136 pages)
Disciplina 516.3/53
Soggetto topico Flag manifolds
Affine algebraic groups
Quantum groups
Schur complement
Kazhdan-Lusztig polynomials
Algebra, Homological
Soggetto genere / forma Electronic books.
ISBN 1-4704-6138-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910480674003321
Fan Zhaobing  
Providence, Rhode Island : , : American Mathematical Society, , 2020
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Affine flag varieties and quantum symmetric pairs / / Zhaobing Fan [and four others]
Affine flag varieties and quantum symmetric pairs / / Zhaobing Fan [and four others]
Autore Fan Zhaobing
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2020
Descrizione fisica 1 online resource (136 pages)
Disciplina 516.3/53
Collana Memoirs of the American Mathematical Society
Soggetto topico Flag manifolds
Affine algebraic groups
Quantum groups
Schur complement
Kazhdan-Lusztig polynomials
Algebra, Homological
ISBN 1-4704-6138-2
Classificazione 17B3720G2514F43
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Constructions in affine type A -- Lattice presentation of affine flag varieties of type C -- Multiplication formulas for Chevalley generators -- Coideal algebra type structures of Schur algebras and Lusztig algebras -- Realization of the idempotented coideal subalgebra Uc/n of U(sln) -- A second coideal subalgebra of quantum affine sln -- More variants of coideal subalgebras of quantum affine sln -- The stabilization algebra Kc/n arising from Schur algebras -- Stabilization algebras arising from other Schur algebras.
Record Nr. UNINA-9910794003903321
Fan Zhaobing  
Providence, Rhode Island : , : American Mathematical Society, , 2020
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Affine flag varieties and quantum symmetric pairs / / Zhaobing Fan [and four others]
Affine flag varieties and quantum symmetric pairs / / Zhaobing Fan [and four others]
Autore Fan Zhaobing
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2020
Descrizione fisica 1 online resource (136 pages)
Disciplina 516.3/53
Collana Memoirs of the American Mathematical Society
Soggetto topico Flag manifolds
Affine algebraic groups
Quantum groups
Schur complement
Kazhdan-Lusztig polynomials
Algebra, Homological
ISBN 1-4704-6138-2
Classificazione 17B3720G2514F43
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Constructions in affine type A -- Lattice presentation of affine flag varieties of type C -- Multiplication formulas for Chevalley generators -- Coideal algebra type structures of Schur algebras and Lusztig algebras -- Realization of the idempotented coideal subalgebra Uc/n of U(sln) -- A second coideal subalgebra of quantum affine sln -- More variants of coideal subalgebras of quantum affine sln -- The stabilization algebra Kc/n arising from Schur algebras -- Stabilization algebras arising from other Schur algebras.
Record Nr. UNINA-9910817963603321
Fan Zhaobing  
Providence, Rhode Island : , : American Mathematical Society, , 2020
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Affine Hecke Algebras and Quantum Symmetric Pairs
Affine Hecke Algebras and Quantum Symmetric Pairs
Autore Fan Zhaobing
Edizione [1st ed.]
Pubbl/distr/stampa Providence : , : American Mathematical Society, , 2023
Descrizione fisica 1 online resource (108 pages)
Disciplina 512/.2
512.2
Altri autori (Persone) LaiChun-Ju
LiYiqiang
Collana Memoirs of the American Mathematical Society
Soggetto topico Hecke algebras
Schur complement
Affine algebraic groups
Quantum groups
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights)
Group theory and generalizations -- Linear algebraic groups and related topics -- Quantum groups (quantized function algebras) and their representations
Group theory and generalizations -- Linear algebraic groups and related topics -- Schur and $q$-Schur algebras
ISBN 1-4704-7319-4
Classificazione 17B1020G4220G43
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Title page -- Acknowledgment -- Notations -- Chapter 1. Introduction -- 1.1. History -- 1.2. The goal -- 1.3. Main results -- 1.4. The organization -- Part 1. Affine Schur algebras -- Chapter 2. Affine Schur algebras via affine Hecke algebras -- 2.1. Affine Weyl groups -- 2.2. Parabolic subgroups and cosets -- 2.3. Affine Schur algebra via Hecke -- 2.4. Set-valued matrices -- 2.5. A bijection -- 2.6. Computation in affine Schur algebra ^{ }_{ , } -- 2.7. Isomorphism ^{ , }_{ , }≅ ^{ }_{ , } -- Chapter 3. Multiplication formula for affine Hecke algebra -- 3.1. Minimal length representatives -- 3.2. Multiplication formula for affine Hecke algebra -- 3.3. An example -- Chapter 4. Multiplication formula for affine Schur algebra -- 4.1. A map -- 4.2. Algebraic combinatorics for ^{ }_{ , } -- 4.3. Multiplication formula for ^{ }_{ , } -- 4.4. Special cases of the multiplication formula -- Chapter 5. Monomial and canonical bases for affine Schur algebra -- 5.1. Bar involution on ^{ }_{ , } -- 5.2. A standard basis in ^{ }_{ , } -- 5.3. Multiplication formula using [ ] -- 5.4. The canonical basis for ^{ }_{ , } -- 5.5. A leading term -- 5.6. A semi-monomial basis -- 5.7. A monomial basis for ^{ }_{ , } -- Part 2. Affine quantum symmetric pairs -- Chapter 6. Stabilization algebra ̇^{ }_{ } arising from affine Schur algebras -- 6.1. A BLM-type stabilization -- 6.2. Stabilization of bar involutions -- 6.3. Multiplication formula for ̇^{ }_{ } -- 6.4. Monomial and stably canonical bases for ̇^{ }_{ } -- 6.5. Isomorphism ̇^{ , }_{ }≅ ̇^{ }_{ } -- Chapter 7. The quantum symmetric pair ( _{ }, ^{ }_{ }) -- 7.1. The algebra _{ } of Type A -- 7.2. The algebra ^{ }_{ } -- 7.3. The algebra ^{ }_{ } as a subquotient -- 7.4. Comultiplication on ^{ }_{ } -- Chapter 8. Stabilization algebras arising from other Schur algebras.
8.1. Affine Schur algebras of Type -- 8.2. Monomial and canonical bases for ^{ }_{ , } -- 8.3. Stabilization algebra of Type -- 8.4. Stabilization algebra of Type -- 8.5. Stabilization algebra of Type -- Appendix A. Length formulas in symmetrized forms by Zhaobing Fan, Chun-Ju Lai, Yiqiang Li and Li Luo -- A.1. Dimension of generalized Schubert varieties -- A.2. Length formulas of Weyl groups -- Bibliography -- Back Cover.
Record Nr. UNINA-9910915676003321
Fan Zhaobing  
Providence : , : American Mathematical Society, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Affine space fibrations / / Rajendra Vasant Gurjar, Kayo Masuda, Masayoshi Miyanishi
Affine space fibrations / / Rajendra Vasant Gurjar, Kayo Masuda, Masayoshi Miyanishi
Autore Gurjar R. V. <1950->
Pubbl/distr/stampa Berlin, Germany ; ; Boston, Massachusetts : , : De Gruyter, , [2021]
Descrizione fisica 1 online resource (XII, 348 p.)
Disciplina 516.4
Collana De Gruyter Studies in Mathematics
Soggetto topico Fiber spaces (Mathematics)
Affine algebraic groups
ISBN 3-11-057742-9
3-11-057756-9
Classificazione SK 240
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- 1 Preliminaries -- 2 Algebraic surfaces with fibrations -- 3 Fibrations in higher dimension -- Bibliography -- Index
Record Nr. UNINA-9910554486203321
Gurjar R. V. <1950->  
Berlin, Germany ; ; Boston, Massachusetts : , : De Gruyter, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Double affine Hecke algebras / Ivan Cherednik
Double affine Hecke algebras / Ivan Cherednik
Autore Cherednik, Ivan
Pubbl/distr/stampa Cambridge, U.K. ; New York : Cambridge University Press, 2005
Descrizione fisica xii, 434 p. ; 23 cm
Disciplina 512.22
Collana London Mathematical Society lecture note series, 0076-0552 ; 319
Soggetto topico Hecke algebras
Affine algebraic groups
Harmonic analysis
Knizhnik-Zamoldchikov equations
Orthogonal polynomials
ISBN 0521609186
Classificazione AMS 32G34
AMS 20C08
AMS 20-02
LC QA176.C49
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001112179707536
Cherednik, Ivan  
Cambridge, U.K. ; New York : Cambridge University Press, 2005
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Double Affine Hecke Algebras and Congruence Groups
Double Affine Hecke Algebras and Congruence Groups
Autore Ion Bogdan
Edizione [1st ed.]
Pubbl/distr/stampa Providence : , : American Mathematical Society, , 2021
Descrizione fisica 1 online resource (108 pages)
Disciplina 512
Altri autori (Persone) SahiSiddhartha
Collana Memoirs of the American Mathematical Society
Soggetto topico Hecke algebras
Affine algebraic groups
Representations of groups
Group theory and generalizations -- Representation theory of groups -- Hecke algebras and their representations
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
Group theory and generalizations -- Special aspects of infinite or finite groups -- Braid groups; Artin groups
Group theory and generalizations -- Special aspects of infinite or finite groups -- Fundamental groups and their automorphisms
ISBN 9781470463410
1470463415
Classificazione 20C0817B6720F3620F34
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Title page -- List of Figures -- List of Tables -- Acknowledgments -- Chapter 1. Introduction -- Chapter 2. Notation and Conventions -- Chapter 3. Affine Root Systems -- Chapter 4. A Refinement of Van der Lek's Presentation -- Chapter 5. The Coxeter Presentation -- Chapter 6. Automorphisms -- Chapter 7. (Anti)Involutions and Diagram Automorphisms -- Chapter 8. Reductive Group Data -- Chapter 9. Extended Double Affine Artin Groups -- Chapter 10. Hecke Algebras -- Appendix A. Combinatorial Results -- Appendix B. Non-Coxeter Groups -- Bibliography -- Back Cover.
Record Nr. UNINA-9910969144103321
Ion Bogdan  
Providence : , : American Mathematical Society, , 2021
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Flat Lorentz 3-manifolds / / L. Auslander, L. Markus
Flat Lorentz 3-manifolds / / L. Auslander, L. Markus
Autore Auslander Louis
Pubbl/distr/stampa Providence : , : American Mathematical Society, , [1959]
Descrizione fisica 1 online resource (62 pages)
Collana Memoirs of the American Mathematical Society
Soggetto topico Affine algebraic groups
Set theory
Low-dimensional topology
Three-manifolds (Topology)
ISBN 0-8218-9973-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""FLAT LORENTZ 3-MANIFOLDS""; ""1. Definition and examples of Lorentz manifolds""; ""2. Classification of matrices of""; ""3. H(r) with a single elliptic generator""; ""4. H(r) with a single parabolic generator""; ""5. H(r) with a single hyperbolic generator""; ""6. Commutative H(r) with more than one generator""; ""7. Coverings, sheetings, and fiberings of Lorentz Manifolds""
Altri titoli varianti Flat Lorentz three-manifolds
Lorentz 3-manifolds
Record Nr. UNINA-9910788769603321
Auslander Louis  
Providence : , : American Mathematical Society, , [1959]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Flat Lorentz 3-manifolds / / L. Auslander, L. Markus
Flat Lorentz 3-manifolds / / L. Auslander, L. Markus
Autore Auslander Louis
Pubbl/distr/stampa Providence : , : American Mathematical Society, , [1959]
Descrizione fisica 1 online resource (62 pages)
Collana Memoirs of the American Mathematical Society
Soggetto topico Affine algebraic groups
Set theory
Low-dimensional topology
Three-manifolds (Topology)
ISBN 0-8218-9973-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""FLAT LORENTZ 3-MANIFOLDS""; ""1. Definition and examples of Lorentz manifolds""; ""2. Classification of matrices of""; ""3. H(r) with a single elliptic generator""; ""4. H(r) with a single parabolic generator""; ""5. H(r) with a single hyperbolic generator""; ""6. Commutative H(r) with more than one generator""; ""7. Coverings, sheetings, and fiberings of Lorentz Manifolds""
Altri titoli varianti Flat Lorentz three-manifolds
Lorentz 3-manifolds
Record Nr. UNINA-9910817280203321
Auslander Louis  
Providence : , : American Mathematical Society, , [1959]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Interactions of quantum affine algebras with cluster algebras, current algebras and categorification : in honor of Vyjayanthi Chari on the occasion of her 60th birthday / / edited by Jacob Greenstein [and three others]
Interactions of quantum affine algebras with cluster algebras, current algebras and categorification : in honor of Vyjayanthi Chari on the occasion of her 60th birthday / / edited by Jacob Greenstein [and three others]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (453 pages)
Disciplina 512.2
Collana Progress in Mathematics
Soggetto topico Algebra, Homological
Affine algebraic groups
Varietats algebraiques
Categories (Matemàtica)
Soggetto genere / forma Homenatges
Llibres electrònics
ISBN 3-030-63849-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910552732103321
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui