Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897896 | Linear Algebra and its Applications | 2018 | 32 Pages |
Abstract
Let (R,â) be an arbitrary unital associative superalgebra with superinvolution over a commutative ring k with 2 invertible. The second homology of the generalized periplectic Lie superalgebra pm(R,â) for m⩾3 has been completely determined via an explicit construction of its universal central extension. In particular, this second homology is identified with the first Z/2Z-graded dihedral homology of R with certain superinvolution whenever m⩾5.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Zhihua Chang, Jin Cheng, Yongjie Wang,