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Homological properties of Hopf algebras

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Author(s):
Cristiane Alexandra Lázaro
Total Authors: 1
Document type: Doctoral Thesis
Press: Campinas, SP.
Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica
Defense date:
Examining board members:
Dessislava Hristova Kochloukova; Lucia Satie Ikemoto Murakami; Vitor de Oliveira Ferreira; Vyacheslav Futorny; Antonio José Engler
Advisor: Dessislava Hristova Kochloukova
Abstract

Suppose L is a metabelian Lie algebra over a field k such that L is a split extension of A by B, where A and B are abelian Lie algebras, ie, there is a split extension A > 7 L ---7r B af Lie algebras. We denote by U(L) the universal enveloping algebra of the Lie algebra L. Furthermore we suppose Q is a finitely generated abelian group that acts on A and B and the action on B is trivial. Consider the split extension of Hopf algebras...Note: The complete abstract is available with the full electronic digital thesis or dissertations (AU)