PBW deformations of quantum symmetric algebras and their group extensions
2016 ◽
Vol 15
(03)
◽
pp. 1650049
◽
Keyword(s):
We examine PBW deformations of finite group extensions of quantum symmetric algebras, in particular the quantum Drinfeld orbifold algebras defined by the first author. We give a homological interpretation, in terms of Gerstenhaber brackets, of the necessary and sufficient conditions on parameter functions to define a quantum Drinfeld orbifold algebra, thus clarifying the conditions. In case the acting group is trivial, we determine conditions under which such a PBW deformation is a generalized enveloping algebra of a color Lie algebra; our PBW deformations include these algebras as a special case.
2021 ◽
Vol 14
(2)
◽
pp. 380-395
1979 ◽
Vol 28
(3)
◽
pp. 335-345
◽
2019 ◽
Vol 53
(supl)
◽
pp. 45-86
1979 ◽
Vol 27
(3)
◽
pp. 332-336
◽
2010 ◽
Vol 09
(02)
◽
pp. 305-314
◽
2018 ◽
Vol 28
(05)
◽
pp. 915-933
2014 ◽
Vol 13
(08)
◽
pp. 1450060
1970 ◽
Vol 22
(1)
◽
pp. 41-46
◽