Abstract
This paper deals with the cohomology of infinitesimal quantum general linear groups. We prove that Hodd((Gq)1,K)=0 and Hev((Gq)1,K)≅K[N]. Our approach is to consider theq-analogue of a unipotent group scheme and construct a filtration of the Hochschild complex forK[(Uq)1]. Meanwhile a certainq-deformation of a polynomial coalgebra arises naturally, which is also believed to be interesting.
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