On Universal $R$-Matrix for Quantized Nontwisted Rank 3 Affine Lie Algebras

Abstract

Explicit formulas of the universal $R$-matrix are given for all quantized nontwisted rank 3 affine Lie algebras $U_q(A_2^{(1)}),U_q(C_2^{(1)})$ and $U_q(G_2^{(1)})$.

12 pages (minor errors corrected)

References in corpus (1)

• Unitarity and Complete Reducibility of Certain Modules over Quantized Affine Lie Algebras

Cited by in corpus (5)

• On the Construction of Trigonometric Solutions of the Yang-Baxter Equation
• Quantum Affine Algebras and Universal $R$-Matrix with Spectral Parameter
• Quantum Affine Lie Algebras, Casimir Invariants and Diagonalization of the Braid Generator
• Quantized Affine Lie Algebras and Diagonalization of Braid Generators
• Casimir Invariants for Quantized Affine Lie Algebras