Constructing R-matrices on Simple Lie Superalgebras

Authors

Gizem Karaali, Pomona CollegeFollow

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2004

Keywords

Lie superalgebras, Yang–Baxter equation, Classical r-matrices

Abstract

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.

Rights Information

Copyright © 2004 Elsevier Inc. All rights reserved.

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1016/j.jalgebra.2004.07.005

Recommended Citation

Gizem Karaali, Constructing r-matrices on simple Lie superalgebras, Journal of Algebra, Volume 282, Issue 1, 1 December 2004, Pages 83-102, ISSN 0021-8693, 10.1016/j.jalgebra.2004.07.005. (http://www.sciencedirect.com/science/article/pii/S0021869304003813)