Principal subspaces of higher-level standard sl(3)^-modules
Quantum Algebra
2008-02-28 v2 Representation Theory
Abstract
We use the theory of vertex operator algebras and intertwining operators to obtain systems of q-difference equations satisfied by the graded dimensions of the principal subspaces of certain level k standard modules for \hat{\goth{sl}(3)}. As a consequence we establish new formulas for the graded dimensions of the principal subspaces corresponding to the highest-weights i\Lambda_1+(k-i)\Lambda_2, where 1 \leq i \leq k and \Lambda_1 and \Lambda_2 are fundamental weights of \hat{\goth{sl}(3)}.
Cite
@article{arxiv.math/0611540,
title = {Principal subspaces of higher-level standard sl(3)^-modules},
author = {Corina Calinescu},
journal= {arXiv preprint arXiv:math/0611540},
year = {2008}
}
Comments
25 pages; v2: minor revisions