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Title: Cohomology theories of A∞-algebras
Author: Kurdiani, R.
Awarding Body: University of Aberdeen
Current Institution: University of Aberdeen
Date of Award: 2006
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In the thesis we introduce and study cohomology theories of A-algebras.  There are two theories: Hochschild cohomology and Shukla cohomology.  Hochschild cohomology classifies split extensions of A-algebras, while Shukla cohomology is introduced to classify all extensions.  Standard theorems are generalized for introduced cohomology theories.  Thanks to the properties of A-algebras mentioned theorems are formulated in much more general form rather than for standard cases.  This generality implies nontrivial results if we substitute instead of A-algebras an associative algebra.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available