Hochschild homology and split pairs

✍ Scribed by Petter Andreas Bergh; Dag Madsen

• Publisher: Elsevier Science
• Year: 2010
• Tongue: French
• Weight: 133 KB
• Volume: 134
• Category: Article
• ISSN: 0007-4497
• DOI: 10.1016/j.bulsci.2010.07.003

✦ Synopsis

We study the Hochschild homology of algebras related via split pairs, and apply this to fiber products, trivial extensions, monomial algebras, graded-commutative algebras and quantum complete intersections. In particular, we compute lower bounds for the dimensions of both the Hochschild homology and cohomology groups of quantum complete intersections.