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- Title
Universal central extensions of sl(m, n, A) over associative superalgebras.
- Authors
GARCÍA-MARTÍNEZ, Xabier; LADRA, Manuel
- Abstract
We find the universal central extension of the matrix superalgebras sl(m, n, A), where A is an associative superalgebra and m+n = 3, 4, and its relation with the Steinberg superalgebra st(m, n, A). We calculate H2(sl(m, n, A)) and H2 (st(m, n, A)). Finally, we introduce a new method using the nonabelian tensor product of Lie superalgebras to find the connection between H2 (sl(m, n, A)) and the cyclic homology of associative superalgebras for m + n ≥ 3.
- Subjects
SUPERALGEBRAS; TENSOR products; LIE superalgebras; HOMOLOGY theory; LIE groups
- Publication
Turkish Journal of Mathematics, 2017, Vol 41, Issue 6, p1552
- ISSN
1300-0098
- Publication type
Article
- DOI
10.3906/mat-1604-34