تقرير
Minuscule Schubert calculus and the geometric Satake correspondence
| العنوان: | Minuscule Schubert calculus and the geometric Satake correspondence |
|---|---|
| المؤلفون: | Anderson, Dave, Nigro, Antonio |
| المصدر: | Schubert Calculus and Its Applications in Combinatorics and Representation Theory (proceedings of International Festival in Schubert Calculus, Guangzhou, 2017) |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Combinatorics |
| الوصف: | We describe a relationship between work of Laksov, Gatto, and their collaborators on realizations of (generalized) Schubert calculus of Grassmannians, and the geometric Satake correspondence of Lusztig, Ginzburg, and Mirkovi\'c and Vilonen. Along the way we obtain new proofs of equivariant Giambelli formulas for the ordinary and orthogonal Grassmannians, as well as a simple derivation of the "rim-hook" rule for computing in the equivariant quantum cohomology of the Grassmannian. Comment: 37 pages, with appendix on Pfaffians and spinors; v2 updates and corrects some references |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1907.08102 |
| رقم الأكسشن: | edsarx.1907.08102 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |