Hochschild Homology of Tame Hecke Algebras

HOU Bo

doi:10.13371/j.cnki.chin.q.j.m.2014.03.002

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 3: 325 - 334

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.03.002

Hochschild Homology of Tame Hecke Algebras

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School of Mathematics and Information Science, Henan University

HOU Bo(1981-), male, native of Kaifeng, Henan, an associated professor of Henan University, Ph.D., engages in representation theory of algebra.

Received date: 2013-10-08

Online published: 2020-11-30

Supported by

Supported by the NNSF of China(11301144)；

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Abstract

Let A be a tame Hecke algebra of type A. A new minimal projective bimodule resolution for A is constructed and the dimensions of all the Hochschild homology groups and cyclic homology groups are calculated explicitly.

Key words： Hochschild homology; Hecke algebra; cyclic homology

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HOU Bo . Hochschild Homology of Tame Hecke Algebras[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(3) : 325 -334 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.03.002

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