Quantization of the external algebra on a Poisson-Lie group

Details Quantization of the external algebra on a Poisson-Lie group Quantization of the external algebra on a Poisson-Lie group

1993-11-17

arxiv.org/abs/hep-th/9311096v2

Physics

High Energy Physics

High Energy Physics - Theory

19 pages. The proof of eq.(3.16) and LaTeX errors are corrected

Scientific paper

We show that the external algebra $\cal M$ on $GL(N)$ can be equipped with the graded Poisson brackets compatible with the group action. We prove that there are only two graded Poisson-Lie structures (brackets) on $\cal M$ and we obtain their explicit description. We realize that just these two structures appear as the quasiclassical limit of the bicovariant differential calculi on the quantum linear group $GL_q (N)$.

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