Combinatorics and Geometry of Higher Level Weyl Modules
Quantum Algebra
2010-12-15 v3 Combinatorics
Representation Theory
Abstract
A higher level analog of Weyl modules over multi-variable currents is proposed. It is shown that the sum of their dual spaces form a commutative algebra. The structure of these modules and the geometry of the projective spectrum of this algebra is studied for the currents of dimension one and two. Along the way we prove some particular cases of the conjectures in [FL1] and propose a generalization of the notion of parking function representations.
Cite
@article{arxiv.math/0503315,
title = {Combinatorics and Geometry of Higher Level Weyl Modules},
author = {B. Feigin and A. N. Kirillov and S. Loktev},
journal= {arXiv preprint arXiv:math/0503315},
year = {2010}
}
Comments
15 pages, LaTeX