The nullcone in the multi-vector representation of the symplectic group and related combinatorics
Representation Theory
2010-03-19 v2 Combinatorics
Abstract
We study the nullcone in the multi-vector representation of the symplectic group with respect to a joint action of the general linear group and the symplectic group. By extracting an algebra over a distributive lattice structure from the coordinate ring of the nullcone, we describe a toric degeneration and standard monomial theory of the nullcone in terms of double tableaux and integral points in a convex polyhedral cone.
Keywords
Cite
@article{arxiv.0904.3957,
title = {The nullcone in the multi-vector representation of the symplectic group and related combinatorics},
author = {Sangjib Kim},
journal= {arXiv preprint arXiv:0904.3957},
year = {2010}
}
Comments
21 pages, v2: title changed, typos and errors corrected