A geometric construction of generalized q-Schur algebras
Representation Theory
2013-11-06 v2 Quantum Algebra
Abstract
We show that the algebras constructed in [Li10] and [Li12] are generalized q-Schur algebras as defined in [D03]. This provides a geometric construction of generalized q-Schur algebras in types A, D and E. We give a parameterization of Nakajima's Lagrangian quiver variety of type D associated to a certain highest weight.
Keywords
Cite
@article{arxiv.1303.3487,
title = {A geometric construction of generalized q-Schur algebras},
author = {Stephen Doty and Yiqiang Li},
journal= {arXiv preprint arXiv:1303.3487},
year = {2013}
}
Comments
Typos corrected. Final version. To appear in the Proceedings of the AMS Special Sessions on Geometric and Algebraic Aspects of Representation Theory and Quantum Groups and Noncommutative Algebraic Geometry