Ju Teng
Abstract
Let k be a field, H a k bialgebra and C a right Hmodule kcoalgebra. This paper defines a new comultiplication on the Hmodule C to obtain a “twisted coalgebra” C τ, τ∈Hom(C,HC). If τ is invertible, the categories of relative right Hopf modules over C and C τ are isomorphic.
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Let k be a field, H a k bialgebra and C a right Hmodule kcoalgebra. This paper defines a new comultiplication on the Hmodule C to obtain a “twisted coalgebra” C τ, τ∈Hom(C,HC). If τ is invertible, the categories of relative right Hopf modules over C and C τ are isomorphic.
Key concepts: Coalgebra, Invertible matrix, Bialgebra, Hopf algebra, Field (mathematics), Mathematics, Pure mathematics, Discrete mathematics