$q$-Wedge Modules for Quantized Enveloping Algebras of Classical Type
Quantum Algebra
2020-09-08 v1
Abstract
We use the fusion construction in the twisted quantum affine algebras to obtain a unified method to deform the wedge product for classical Lie algebras. As a byproduct we uniformly realize all non-spin fundamental modules for quantized enveloping algebras of classical types, and show that they admit natural crystal bases as modules for the (derived) twisted quantum affine algebra. These crystal bases are parametrized in terms of the -wedge products.
Keywords
Cite
@article{arxiv.math/9811013,
title = {$q$-Wedge Modules for Quantized Enveloping Algebras of Classical Type},
author = {Naihuan Jing and Kailash C. Misra and Masato Okado},
journal= {arXiv preprint arXiv:math/9811013},
year = {2020}
}
Comments
20 pages, Latex file