On Poisson-Lie structure on the external algebra of the classical Lie groups

Details On Poisson-Lie structure on the external algebra of the classical Lie groups On Poisson-Lie structure on the external algebra of the classical Lie groups

1994-04-13

arxiv.org/abs/hep-th/9404068v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1063/1.531202

The general expression for the bicovariant bracket for odd generators of the
external algebra on a Poisson-Lie group is given. It is shown that the graded
Poisson-Lie structures derived before for $GL(N)$ and $SL(N)$ are the special
cases of this bracket. The formula is the universal one and can be applied to
the case of any matrix Lie group.

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