SUPERMODULES, SUPERCOMODULES AND TWISTINGS OF FINITE-DIMENSIONAL HOPF SUPERALGEBRAS
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The purpose of this paper is to describe supermodule, supercomodule and supermodule superalgebra structures of finite dimensional Hopf superalgebras. In particular, it aims to enhance the work on classification of finite-dimensional Hopf superalgebras considered by Aissaoui and Makhlouf. Moreover, we discuss twist deformations and 2-cocycle deformations, extending to ℤ₂-grading case Drinfeld’s theory and the work by Giaquinto and Zhang. Furthermore, applications are provided.
Abstract
The purpose of this paper is to describe supermodule, supercomodule and supermodule superalgebra structures of finite dimensional Hopf superalgebras. In particular, it aims to enhance the work on classification of finite-dimensional Hopf superalgebras considered by Aissaoui and Makhlouf. Moreover, we discuss twist deformations and 2-cocycle deformations, extending to ℤ₂-grading case Drinfeld’s theory and the work by Giaquinto and Zhang. Furthermore, applications are provided.
참고문헌 (19)
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