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

Yuuki Abe
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Abstract

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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Yuuki Abe. 2006-01-31. Inductive Construction of Nilpotent Modules of Quantum Groups at Roots of Unity. https://arxiv.org/abs/math/0601749

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