Self-dual hopf algebras |
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| Authors: | EL Green EN Macros |
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| Institution: | 1. Department of Mathematics , Virginia Polytechnic Institute and State University , Blacksburg, Virginia, 24061, USA E-mail: green@math.vt.edu;2. Department of Mathemátics , Instituto de Mat. e Estat Universidade de S?o Paulo , S?o Paulo, CP, 66281, Brasil E-mail: enmarcos@ime.usp.br |
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| Abstract: | We introduce the notions of self-dual (graded) Hopf algebras and of structurally simple (graded) Hopf algebras. We prove that the self-dual Hopf algebras are structurally simple and provide a construction of self-dual Hopf algebras. Finally, we classify the self-dual quotients of the form TB (M)/I, where TB (M) is a path algebra with a graded Hopf algebra structure, and I is a graded admissible Hopf ideal. |
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