Geodesic
PBW Degenerations of Lie Superalgebras and their Typical Representations
Journal of Lie theory, Tome 31 (2021) no. 2, pp. 313-334
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

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.
Classification : 17A70, 17B10, 52B20
Mots-clés : PBW degeneration, Lie superalgebra, monomial bases 
@article{JLT_2021_31_2_JLT_2021_31_2_a1,
     author = {G. Fourier and D. 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/JLT_2021_31_2_JLT_2021_31_2_a1/}
}
TY  - JOUR
AU  - G. Fourier
AU  - D. 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/JLT_2021_31_2_JLT_2021_31_2_a1/
ID  - JLT_2021_31_2_JLT_2021_31_2_a1
ER  - 
%0 Journal Article
%A G. Fourier
%A D. 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/JLT_2021_31_2_JLT_2021_31_2_a1/
%F JLT_2021_31_2_JLT_2021_31_2_a1
G. Fourier; D. 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/JLT_2021_31_2_JLT_2021_31_2_a1/