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Induced and Coinduced Representations of Hopf Group Coalgebras |
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| Authors: | A. S. Hegazi F. Ismail M. M. Elsofy |
| Affiliation: | (1) Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt;(2) Department of Mathematics, Faculty of Science, Cairo University, Cairo, Egypt;(3) Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt |
| Abstract: | The induction theory for a Hopf group coalgebra is outlined. Given a Hopf group coalgebra H, the notions of a quotient Hopf group coalgebra and group coisotropic quantum subgroup of H are introduced. The properties of (co)induced representations are studied and the geometric interpretation and simplicity theory of such representations are given. |
| Keywords: | Algebra Coalgebra Hopf algebra Representation theory Hopf group coalgebra |
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