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December 2007 Inductive Construction of Nilpotent Modules of Quantum Groups at Roots of Unity
Yuuki ABE
Tokyo J. Math. 30(2): 351-371 (December 2007). DOI: 10.3836/tjm/1202136681

Abstract

The purpose of this paper is to prove that we can inductively construct all finite-dimensional irreducible nilpotent modules of type 1 by using the Schnizer homomorphisms for quantum algebras at roots of unity of type $A_n$, $B_n$, $C_n$, $D_n$, or $G_2$.

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Yuuki ABE. "Inductive Construction of Nilpotent Modules of Quantum Groups at Roots of Unity." Tokyo J. Math. 30 (2) 351 - 371, December 2007. https://doi.org/10.3836/tjm/1202136681

Information

Published: December 2007
First available in Project Euclid: 4 February 2008

zbMATH: 1149.17006
MathSciNet: MR2376514
Digital Object Identifier: 10.3836/tjm/1202136681

Rights: Copyright © 2007 Publication Committee for the Tokyo Journal of Mathematics

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Vol.30 • No. 2 • December 2007
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