Shiyin Zhao
Abstract
Let H be a local finite dimensional Hopf π-algebra,we show that the dual spaces H 0 of Hopfπ-algebra His a Hopf π-coalgebra.On those bases,we describe the perfect duality relation between unilateral π-ideal of a local finite dimensional Hopf π-algebra H and unilateralπcoideal of a local finite dimensional Hopf π-coalgebra H 0.
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Let H be a local finite dimensional Hopf π-algebra,we show that the dual spaces H 0 of Hopfπ-algebra His a Hopf π-coalgebra.On those bases,we describe the perfect duality relation between unilateral π-ideal of a local finite dimensional Hopf π-algebra H and unilateralπcoideal of a local finite dimensional Hopf π-coalgebra H 0.
Key concepts: Hopf algebra, Coalgebra, Mathematics, Duality (order theory), Ideal (ethics), Quasitriangular Hopf algebra, Representation theory of Hopf algebras, Pure mathematics