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Hochschild Cohomology of Triangular Matrix Algebras

✍ Scribed by Sandra Michelena; Marı́a Inés Platzeck

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
176 KB
Volume
233
Category
Article
ISSN
0021-8693

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✦ Synopsis

We study the Hochschild cohomology of triangular matrix rings B s ,

where A and R are finite dimensional algebras over an algebraically closed field K and M is an A-R-bimodule. We prove the existence of two long exact sequences of K-vector spaces relating the Hochschild cohomology of A, R, and B. ᮊ 2000 Academic Press

1 The authors thank Sverre Smalø for interesting comments and suggestions. A grant from CONICET is gratefully acknowledged. 2 The second author is a researcher from CONICET, Argentina.

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