22 citations · 69 across the 13 of their papers we have counts for
4 papers · 1 filter
Primitive Cohomology of Hopf algebras
D. -G. Wang, J. J. Zhang, G. Zhuang
Primitive cohomology of a Hopf algebra is defined by using a modification of the cobar construction of the underlying coalgebra. Among many of its applications, two classifications…
A note on the duality between Poisson homology and cohomology
Jiafeng Lü, Xingting Wang, Guangbin Zhuang
For a Poisson algebra , by studying its universal enveloping algebra , we prove a duality theorem between Poisson homology and cohomology of .
Universal enveloping algebras of Poisson Ore extensions
Jiafeng Lü, Xingting Wang, Guangbin Zhuang
We prove that the universal enveloping algebra of a Poisson-Ore extension is a length two iterated Ore extension of the original universal enveloping algebra. As consequences, we o…
Universal enveloping algebras of Poisson Hopf algebras
Jiafeng Lü, Xingting Wang, Guangbin Zhuang
For a Poisson algebra , by exploring its relation with Lie-Rinehart algebras, we prove a Poincaré-Birkoff-Witt theorem for its universal enveloping algebra . Some general p…