Cohomology of the Universal Enveloping Algebras of Certain Bigraded Lie Algebras

Authors
Zhong, Li Nan Zhao, Hao Shen, Wen Huai
Citation
Zhong, Li Nan et al., Cohomology of the Universal Enveloping Algebras of Certain Bigraded Lie Algebras, Acta mathematica Sinica. English series (Print) , 34(10), 2018, pp. 1611-1625
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
10
Year of publication
2018
Pages
1611 - 1625
Database
ACNP
SICI code
Abstract
Let p be an odd prime and q = 2(p.1). Up to total degree t.s < max{(5p3 +6p2 +6p+ 4)q . 10, p4q}, the generators of Hs,t(U(L)), the cohomology of the universal enveloping algebra of a bigraded Lie algebra L, are determined and their convergence is also verified. Furthermore our results reveal that this cohomology satisfies an analogous Poin.are duality property. This largely generalizes an earlier classical results due to J. P. May.