Cohomology Rings of Plactic Monoid Algebra via Groubner-Shirshov Basis

2014/11/20 by Viktor Lopatkin, Lopatkin, Viktor · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AT

paper · pdf · doi:10.48550/arxiv.1411.5464

arxiv created 2015/04/17 · arxiv updated 2015/04/20

Abstract

In this paper we shall calculate the cohomology ring and Hochschild's cohomology ring of plactic monoid algebra via Anick's resolution using Groubner-Shirshov basis

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• Cohomology of idempotent braidings, with applications to factorizable monoids

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