Geometric Schur Duality of Classical Type, II
Representation Theory
2014-08-29 v1 Quantum Algebra
Abstract
We establish algebraically and geometrically a duality between the Iwahori-Hecke algebra of type D and two new quantum algebras arising from the geometry of N-step isotropic flag varieties of type D. This duality is a type D counterpart of the Schur-Jimbo duality of type A and the Schur-like duality of type B/C discovered by Bao-Wang. The new algebras play a role in the type D duality similar to the modified quantum gl(N) in type A, and the modified coideal subalgebras of quantum gl(N) in type B/C. We construct canonical bases for these two algebras.
Cite
@article{arxiv.1408.6740,
title = {Geometric Schur Duality of Classical Type, II},
author = {Zhaobing Fan and Yiqiang Li},
journal= {arXiv preprint arXiv:1408.6740},
year = {2014}
}
Comments
40 pages