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arxiv: 1910.09747 · v2 · pith:QAN4MOSNnew · submitted 2019-10-21 · 🧮 math.KT · math.QA· math.RA

Homology of quantum linear groups

classification 🧮 math.KT math.QAmath.RA
keywords quantumgroupshomologycalculatecoefficientscomingdimensionalevery
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For every $n\geq 1$, we calculate the Hochschild homology of the quantum monoids $M_q(n)$, and the quantum groups $GL_q(n)$ and $SL_q(n)$ with coefficients in a 1-dimensional module coming from a modular pair in involution.

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