Induced and Coinduced Representations of Hopf Group Coalgebras

Induced and Coinduced Representations of Hopf Group Coalgebras

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 simp...

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Veröffentlicht in:Applied categorical structures 2008-04, Vol.16 (1-2), p.97-102
Hauptverfasser: Hegazi, A. S., Ismail, F., Elsofy, M. M.
Format: Artikel
Sprache:eng
Schlagworte:
Convex and Discrete Geometry
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Theory of Computation
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Zusammenfassung: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.
ISSN:0927-2852
1572-9095
DOI:10.1007/s10485-007-9099-y