A New Lie Bialgebra Structure on sl(2,1)

Details A New Lie Bialgebra Structure on sl(2,1) A New Lie Bialgebra Structure on sl(2,1)

2004-10-21

arxiv.org/abs/math/0410473v1

Revised and final version at: Contemp. Math. 413 (2006), pp.101-122

Mathematics

Rings and Algebras

Scientific paper

We describe the Lie bialgebra structure on the Lie superalgebra sl(2,1)
related to an r-matrix that cannot be obtained by a Belavin-Drinfeld type
construction. This structure makes sl(2,1) into the Drinfeld double of a
four-dimensional subalgebra.

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