Roots of Unity: Representations of Quantum Groups

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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23 pages

Scientific paper

10.1007/BF02102010

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.

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