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
PBW deformations of braided products
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DOI: 10.1016/j.jalgebra.2018.02.028
Abstract: We present new examples of deformations of smash product algebras that arise from Hopf algebra actions on pairs of module algebras. These examples involve module algebras that are Koszul, in which case a PBW theorem… read more here.
Keywords: pbw deformations; deformations braided; braided products;
Color Lie rings and PBW deformations of skew group algebras
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DOI: 10.1016/j.jalgebra.2018.10.012
Abstract: We investigate color Lie rings over finite group algebras and their universal enveloping algebras. We exhibit these universal enveloping algebras as PBW deformations of skew group algebras: Every color Lie ring over a finite group… read more here.
Keywords: lie rings; universal enveloping; color lie; group algebras ... See more keywords