arXiv math/06097152006-09-26math.QA

Geometry and reducibility of induction of Hopf group co-algebras

A. S. Hegazi, F. Ismail, M. M. Elsofy

英文摘要：

In this work we study the induction (induced and coinduced)theory for Hopf group coalgebra. We define a substructure B of a Hopf group coalgebra $H$, called subHopf group coalgebra. Also, we have introduced the definition of Hopf group suboalgebra and group coisotropic quantum subgroup of $H$. The properties of the algebraic structure of the induced and coinduced are given. Moreover, a framework of the geometric interperation and simplicity theory of such representation strructure are stuided.

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