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2000•Communications in AlgebraRequires access

Twisted hopf module coalgebras

Teng Xia Ju, C.R. Cai

Open publisher page 3 citations

Abstract

For k a field. H a k-bialgebra and C a right H-module k-coalgebra, we define a new comultiplication on the H -module C to obtain a “twisted coalgebra” . . If τ is invertible. the categories of relative right Hopf modules over C and are isomorphie. We show that crossed coproducts are invertible twistings of the tensor coalgebras. These results arc dual to [1. Theroem 1.1] and [l. Theorem3.4].

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What this paper is about

For k a field. H a k-bialgebra and C a right H-module k-coalgebra, we define a new comultiplication on the H -module C to obtain a “twisted coalgebra” . . If τ is invertible. the categories of relative right Hopf modules over C and are isomorphie. We show that crossed coproducts are invertible twistings of the tensor coalgebras. These results arc dual to [1. Theroem 1.1] and [l. Theorem3.4].

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Available abstract

For k a field. H a k-bialgebra and C a right H-module k-coalgebra, we define a new comultiplication on the H -module C to obtain a “twisted coalgebra” . . If τ is invertible. the categories of relative right Hopf modules over C and are isomorphie. We show that crossed coproducts are invertible twistings of the tensor coalgebras. These results arc dual to [1. Theroem 1.1] and [l. Theorem3.4].

Key concepts: Coalgebra, Mathematics, Bialgebra, Invertible matrix, Hopf algebra, Coproduct, Pure mathematics, Field (mathematics)

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