Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896412 | Journal of Algebra | 2018 | 22 Pages |
Abstract
The purpose of this paper is to construct new families of irreducible Gelfand-Tsetlin modules for Uq(gln). These modules have arbitrary singularity and Gelfand-Tsetlin multiplicities bounded by 2. Most previously known irreducible modules had all Gelfand-Tsetlin multiplicities bounded by 1 [16], [17]. In particular, our method provides new families of irreducible Gelfand-Tsetlin modules for gln. This generalizes the results of [10] and [15].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang,