Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772930 | Linear Algebra and its Applications | 2018 | 31 Pages |
Abstract
Let F denote an algebraically closed field with characteristic 0, and let q denote a nonzero scalar in F that is not a root of unity. Let Z4 denote the cyclic group of order 4. Let â¡q denote the unital associative F-algebra defined by generators {xi}iâZ4 and relationsqxixi+1âqâ1xi+1xiqâqâ1=1,xi3xi+2â[3]qxi2xi+2xi+[3]qxixi+2xi2âxi+2xi3=0, where [3]q=(q3âqâ3)/(qâqâ1). There exists an automorphism Ï of â¡q that sends xiâ¦xi+1 for iâZ4. Let V denote a finite-dimensional irreducible â¡q-module of type 1. To V we attach a polynomial called the Drinfel'd polynomial. In our main result, we explain how the following are related:
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yang Yang,