Constructing r -matrices on simple Lie superalgebras

Citation data:

Journal of Algebra, ISSN: 0021-8693, Vol: 282, Issue: 1, Page: 83-102

Publication Year:
2004
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Citations 12
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Repository URL:
http://scholarship.claremont.edu/pomona_fac_pub/116
DOI:
10.1016/j.jalgebra.2004.07.005
Author(s):
Karaali, Gizem
Publisher(s):
Elsevier BV
Tags:
Mathematics; Lie superalgebras; Yang–Baxter equation; Classical r-matrices; Algebra; Physical Sciences and Mathematics
article description
We construct r -matrices for simple Lie superalgebras with non-degenerate Killing forms using Belavin–Drinfeld type triples. This construction gives us the standard r -matrices and some non-standard ones.