Twisted zastava and q-Whittaker functions

2014/10/31 by Alexander Braverman, Michael Finkelberg · 10 citations
Mathematics · #Action (physics) #Advanced Banach Space Theory #Algebra over a field #Analytic and geometric function theory #Holomorphic and Operator Theory #Lie algebra #Section (typography) #Simple (philosophy) #math.AG #math.CO #math.QA #math.RT

paper · pdf · doi:10.1112/jlms.12057

published in Journal of the London Mathematical Society 96(2), 309-325 (Wiley) · 18 pages. v4: the final published version

openalex created_date 2016/06/24 · openalex publication_date 2017/07/03 · arxiv created 2017/12/08 · arxiv updated 2017/12/11 · openalex updated_date 2026/08/05

Abstract

We implement the program outlined in Section 7 of our earlier paper [J. Amer. Math. Soc. 27 (2014) 1147–1168] extending to the case of nonsimply laced simple Lie algebras the construction of solutions of q-difference Toda equations from geometry of quasimaps' spaces. To this end we introduce and study the twisted zastava spaces.

Citations

• Semi-infinite Schubert varieties and quantum K-theory of flag manifolds
• Weyl modules and q-Whittaker functions
• The Index of Elliptic Operators: III
• The canonical sheaf of Du Bois singularities
• Geometric Langlands duality and representations of algebraic groups over commutative rings