Hochschild Cohomology and the Coradical Filtration of Pointed Coalgebras: Applications |
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| Authors: | Drago? ?tefan Freddy Van Oystaeyen |
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| Institution: | aFaculty of Mathematics, University of Bucharest, RO-70109, Bucharest 1, Romania;bDepartment of Mathematics, University of Antwerp, UIA, B-2610, Wilrijk, Belgium |
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| Abstract: | In this paper we show that there is a close connection between the coradical filtration of a pointed coalgebra and the Hochschild cohomology of that coalgebra with coefficients in some one-dimensional bicomodules. As an application, for a given prime numberpand an algebraically closed fieldkof characteristic 0, we classify all pointed Hopf algebras of dimensionp3overk. |
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