Homology of quantum linear groups

2019/10/21 by Kaygun, Atabey, Sütlü, Serkan
#16E40 #16T99 #FOS: Mathematics #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1910.09747

Abstract

For every n≥ 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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