Quantization of the external algebra on a Poisson-Lie group

الأصل · EN

We show that the external algebra 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 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 GLq (N).