Hochschild cohomology of triangular matrix algebras

2001/04/05 by Jorge A. Guccione, Guccione, Jorge A., Juan J. Guccione +1 · 2 citations
Mathematics · #14E40 #16S50 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #Rings and Algebras (math.RA) #math.KT #math.RA #msc:14E40 #msc:16S50

paper · pdf · doi:10.48550/arxiv.math/0104068

8 pages. Major conceptual changes

openalex publication_date 2001/04/05 · arxiv created 2001/04/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the existence of two long exact sequences relating the Hochschild cohomology of a triangular matrix algebra with the Hochschild homology of its component subalgebras. We also study the structure of the maps of the first sequence.

Citations

• Cohomology of split algebras and of trivial extensions

Cited by

• Functor categories, Recollements, Triangular Matrix category
• Extension category algebras and LHS--spectral sequences

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