We introduce the PBW degeneration for basic classical Lie superalgebras and construct for all type I, 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.
Ghislain Fourier; Deniz Kus. PBW Degenerations of Lie Superalgebras and their Typical Representations. Journal of Lie Theory, Tome 31 (2021) no. 2, pp. 313-334. http://geodesic.mathdoc.fr/item/JOLT_2021_31_2_a1/
@article{JOLT_2021_31_2_a1,
author = {Ghislain Fourier and Deniz Kus},
title = {PBW {Degenerations} of {Lie} {Superalgebras} and their {Typical} {Representations}},
journal = {Journal of Lie Theory},
pages = {313--334},
year = {2021},
volume = {31},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2021_31_2_a1/}
}
TY - JOUR
AU - Ghislain Fourier
AU - Deniz Kus
TI - PBW Degenerations of Lie Superalgebras and their Typical Representations
JO - Journal of Lie Theory
PY - 2021
SP - 313
EP - 334
VL - 31
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2021_31_2_a1/
ID - JOLT_2021_31_2_a1
ER -
%0 Journal Article
%A Ghislain Fourier
%A Deniz Kus
%T PBW Degenerations of Lie Superalgebras and their Typical Representations
%J Journal of Lie Theory
%D 2021
%P 313-334
%V 31
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2021_31_2_a1/
%F JOLT_2021_31_2_a1
