Notes on two-parameter quantum groups, (II)

Abstract

This paper is the sequel to [HP1] to study the deformed structures and representations of two-parameter quantum groups $U_{r,s}(\mathfrak{g})$ associated to the finite dimensional simple Lie algebras $\mg$. An equivalence of the braided tensor categories ${Ø}^{r,s}$ and ${Ø}^q$ is explicitly established.

21 pages

References in corpus (3)

• The Weyl-Brandt groupoid of a Nichols algebra of diagonal type
• Drinfel'd Doubles and Lusztig's Symmetries of Two-Parameter Quantum Groups
• Notes on two-parameter quantum groups, (I)

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• $RLL$-realization of two-parameter quantum affine algebra in type $D_n^{(1)}$
• Cyclic Homology of Strong Smash Product Algebras
• Novel isoclasses of one-parameter exotic small quantum groups originating from a two-parameter framework
• Harish-Chandra Theorem for Two-parameter Quantum Groups
• Quantum Supergroup $U_{r,s}(osp(1,2))$, Scasimir Operators, and Dickson polynomials
• Two-parameter Quantum Affine Algebra of Type ${\mathrm{C}}_n^{(1)},$ Drinfeld Realization and Vertex Representation