| On the Hochschild Cohomology and Homology of Endomorphism Algebras of Exceptional Sequences over Hereditary Algebras |
| Received:June 08, 2006 Revised:January 16, 2007 |
| Key Words:
Hochschild cohomology groups exceptional sequences, endomorphism algebras global dimensions.
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| Fund Project:the National Natural Science Foundation of China (No. 10371036; 10671061); the Natural Science Foundation of Beijing (1042001); the Fund of Beijing Education Committee (No. KM200610005024); Funding Project for Academic Human Resources Development in Insti |
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| Abstract: |
| In this paper, let $A$ be a finite dimensional associative algebra over an algebraically closed field $k$, $\mod A$ be the category of finite dimensional left $A$-module and $X_1,X_2,\ldots,X_n$ in $\mod A$ be a complete exceptional sequence, and let $E$ be the endomorphism algebra of $X_1,X_2,\ldots,X_n$. We study the global dimension of $E$, and calculate the Hochschild cohomology and homology groups of $E$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.01.008 |
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