Event Title: |
Dialgebra Cohomology as a g-algebra |
Speaker: |
Dr.Anita Majumdar |
Affiliation: |
Department of Mathematics |
Abstract/Brief Description: |
G-algebras arose in M.Gerstenhaber’s work when he showed that the Hochschild cohomology of an associative algebra has the natural structure of a G-algebra, Later, F.Cohen showed that an algebra over the homology little discs operad is nothing but a G-algebra. Later, Deligne’s conjecture was proved: ‘the Hochschild cochain complex has the natural structure of an algebra over a chain operad of the little discs operad’, in other words, ‘it has a natural structure of homotopy G-algebra’. Drawing resemblance to Hochschild cohomology, we show that the disalgebra cohomology admits a G-algebra structure, which is induced by ahomotopy G-algebra structure on the cochain level. |
Subject Area: |
Mathematics |
Date: |
Friday November5, 2004 |
Time: |
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Venue: |
Lecture Hall - I, Dept. of Mathematics, IISc. |