Universal q-differential calculus and q-analog of homological algebra

1996/08/29 by Dubois-Violette, Michel, Kerner, Richard
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.q-alg/9608026

Abstract

We recall the definition of q-differential algebras and discuss some representative examples. In particular we construct the q-analog of the Hochschild coboundary. We then construct the universal q-differential envelope of a unital associative algebra and study its properties. The paper also contains general results on d^N=0.

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