On Poisson-Lie structure on the external algebra of the classical Lie groups
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✦ hep-th
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poisson-liealgebrabracketexternalgroupappliedbeforebicovariant
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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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