Spinon decomposition and Yangian structure of (sl_n)^ modules
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
We review several fermionic-type character formulae for the characters of the integrable highest weight modules of sl(n)^ at level l=1, and explain how they arise from a spinon basis for these modules. We also review how the Yangian Y(sl(n)) acts on the integrable (sl(n)^)_1 modules and we decompose the characters with respect to this Y(sl(n)) action.
Cite
@article{arxiv.q-alg/9703021,
title = {Spinon decomposition and Yangian structure of (sl_n)^ modules},
author = {Peter Bouwknegt and Kareljan Schoutens},
journal= {arXiv preprint arXiv:q-alg/9703021},
year = {2008}
}
Comments
to appear in ``Geometric Analysis and Lie Theory in Mathematics and Physics'', Lecture Notes Series of the Australian Mathematical Society; 34 pages plain TeX with amssym.def