Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||