Roots of Unity: Representations of Quantum Groups

Abstract

Representations of Quantum Groups U_q (g_n), g_n any semi simple Lie algebra of rank n, are constructed from arbitrary representations of rank n-1 quantum groups for q a root of unity. Representations which have the maximal dimension and number of free parameters for irreducible representations arise as special cases.

23 pages

References in corpus (1)

• Cyclic monodromy matrices for sl(n) trigonometric R-matrices

Cited by in corpus (5)

• Representations of U_q(sl(N)) at Roots of Unity
• Half-quantum groups at roots of unity, path algebras and representation type
• Evaluation representations of quantum affine algebras at roots of unity
• Nilpotent representations of classical quantum groups at roots of unity
• Bases of Quantum Group Algebras in Terms of Lyndon Words