On PBW-Deformations of Braided Exterior Algebras
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-018-0926-z
Abstract: We classify PBW-deformations of quadratic-constant type of certain quantizations of exterior algebras. These correspond to the fundamental modules of quantum $$\mathfrak {sl}_N$$slN, their duals, and their direct sums. We show that the first two cases… read more here.
Keywords: pbw deformations; braided exterior; algebras pbw; exterior algebras ... See more keywords
G-quadratic, LG-quadratic, and Koszul quotients of exterior algebras
Sign Up to like & getrecommendations! Published in 2022 at "Communications in Algebra"
DOI: 10.1080/00927872.2022.2029875
Abstract: This paper introduces the study of LG-quadratic quotients of exterior algebras, showing that they are Koszul, as in the commutative case. We construct an example of an LG-quadratic algebra that is not G-quadratic and another… read more here.
Keywords: quotients exterior; exterior algebras; quadratic koszul; algebra quadratic ... See more keywords