Principal subspaces for the affine Lie algebras in types $D$, $E$ and $F$
Quantum Algebra
2022-10-17 v1
Abstract
We consider the principal subspaces of certain level integrable highest weight modules and generalized Verma modules for the untwisted affine Lie algebras in types , and . Generalizing the approach of G. Georgiev we construct their quasi-particle bases. We use the bases to derive presentations of the principal subspaces, calculate their character formulae and find some new combinatorial identities.
Keywords
Cite
@article{arxiv.1902.10794,
title = {Principal subspaces for the affine Lie algebras in types $D$, $E$ and $F$},
author = {Marijana Butorac and Slaven Kožić},
journal= {arXiv preprint arXiv:1902.10794},
year = {2022}
}
Comments
24 pages, 1 figure, comments are welcome