FFLV polytopes for odd symplectic Lie algebras

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.

arXiv comment14 pages, reference added

References in corpus (2)

• Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann polytopes as marked poset polytopes
• The Minkowski Property and Reflexivity of Marked Poset Polytopes