Inductive Construction of Nilpotent Modules of Quantum Groups at Roots of Unity

Details Inductive Construction of Nilpotent Modules of Quantum Groups at Roots of Unity Inductive Construction of Nilpotent Modules of Quantum Groups at Roots of Unity

2006-01-31

arxiv.org/abs/math/0601749v1

Mathematics

Quantum Algebra

16 pages

Scientific paper

The purpose of this paper is to prove that we can construct all finite
dimensional irreducible nilpotent modules of type 1 inductively by using
Schnizer homomorphisms for quantum algebra at roots of unity of type A, B, C, D
or G.

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