Geometry and reducibility of induction of Hopf group co-algebras

Details Geometry and reducibility of induction of Hopf group co-algebras Geometry and reducibility of induction of Hopf group co-algebras

2006-09-26

arxiv.org/abs/math/0609715v1

Mathematics

Quantum Algebra

Scientific paper

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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