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arXiv · 2110.00608

FFLV polytopes for odd symplectic Lie algebras

Dmitry Rybin
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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.

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Dmitry Rybin. 2021-10-01. FFLV polytopes for odd symplectic Lie algebras. https://arxiv.org/abs/2110.00608

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