Kiranagi, B. S. and Rajendra, R. (2008) Revisiting hochschild cohomology for algebra bundles. Journal of Algebra and Its Applications, 07 (06). pp. 685-715. ISSN 1793-6829
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Hochschild cohomology of an associative algebra bundle with coefficients in a bimodule bundle has been defined and studied in earlier paper. Here, by using cohomological methods, we establish that an algebra bundle is a semidirect product of its radical bundle and a semisimple subalgebra bundle. Further we define multiplication algebra bundle of an algebra bundle and representation of an algebra bundle. We study special representations of an algebra bundle using Hochschild cohomology of an associative algebra bundle with coefficients in a bimodule bundle. We observe that if a representation of an algebra bundle is special then its obstruction is zero. Further we show that a subgroup H of H2(ξ, N) is faithfully represented as a transitive group of translations operating on the set of those equivalence classes of algebra bundle extensions of ξ which determine a given representation φ, K.
| Item Type: | Article |
|---|---|
| Subjects: | E Mathematical Science > Mathematics |
| Divisions: | Department of > Mathematics |
| Depositing User: | Manjula P Library Assistant |
| Date Deposited: | 16 Aug 2019 07:24 |
| Last Modified: | 16 Aug 2019 07:24 |
| URI: | http://eprints.uni-mysore.ac.in/id/eprint/6427 |
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