تقرير
Schur algebras and quantum symmetric pairs with unequal parameters
| العنوان: | Schur algebras and quantum symmetric pairs with unequal parameters |
|---|---|
| المؤلفون: | Lai, Chun-Ju, Luo, Li |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, Mathematics - Quantum Algebra |
| الوصف: | We study the (quantum) Schur algebras of type B/C corresponding to the Hecke algebras with unequal parameters. We prove that the Schur algebras afford a stabilization construction in the sense of Beilinson-Lusztig-MacPherson that constructs a multiparameter upgrade of the quantum symmetric pair coideal subalgebras of type A III/IV with no black nodes. We further obtain the canonical basis of the Schur/coideal subalgebras, at the specialization associated to any weight function. These bases are the counterparts of Lusztig's bar-invariant basis for Hecke algebras with unequal parameters. In the appendix we provide an algebraic version of a type D Beilinson-Lusztig-MacPherson construction which is first introduced by Fan-Li from a geometric viewpoint. Comment: 34 pages. Minor corrections. To appear in Int. Math. Res. Not |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1808.00938 |
| رقم الأكسشن: | edsarx.1808.00938 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |