FFLV polytopes for odd symplectic Lie algebras
Representation Theory
2021-10-06 v2 Combinatorics
Abstract
We consider "odd symplectic Lie algebras" defined in terms of maximal rank skew-symmetric forms. We provide FFLV polytopes for these algebras and prove their standard properties. In particular, we obtain a new graded character formula and PBW bases for an analogue of irreducible representations in terms of lattice points of FFLV polytopes.
Keywords
Cite
@article{arxiv.2110.00608,
title = {FFLV polytopes for odd symplectic Lie algebras},
author = {Dmitry Rybin},
journal= {arXiv preprint arXiv:2110.00608},
year = {2021}
}
Comments
14 pages, reference added