Webs and $q$-Howe dualities in types $\mathbf{B}\mathbf{C}\mathbf{D}$
Representation Theory
2020-11-17 v2 Quantum Algebra
Abstract
We define web categories describing intertwiners for the orthogonal and symplectic Lie algebras, and, in the quantized setup, for certain orthogonal and symplectic coideal subalgebras. They generalize the Brauer category, and allow us to prove quantum versions of some classical type Howe dualities.
Cite
@article{arxiv.1701.02932,
title = {Webs and $q$-Howe dualities in types $\mathbf{B}\mathbf{C}\mathbf{D}$},
author = {Antonio Sartori and Daniel Tubbenhauer},
journal= {arXiv preprint arXiv:1701.02932},
year = {2020}
}
Comments
40 pages, many figures, revised version, comments welcome, to appear in Trans. Amer. Math. Soc