PBW degenerations of Lie superalgebras and their typical representations

29 Oct 2018 · Fourier Ghislain, Kus Deniz ·

We introduce the PBW degeneration for basic classical Lie superalgebras and construct for all type I, $\mathfrak{osp}(1,2n)$ and exceptional Lie superalgebras new monomial bases. These bases are parametrized by lattice points in convex lattice polytopes, sharing useful properties such as the integer decomposition property. This paper is the first step towards extending the framework of PBW degenerations to the Lie superalgebra setting.

PDF Abstract

Code

Add Remove Mark official

No code implementations yet. Submit your code now

Edit Social Preview

PBW degenerations of Lie superalgebras and their typical representations

Code Edit Add Remove Mark official

Categories

Code

Add Remove Mark official