Imaginary Verma modules and Kashiwara algebras for Uq((g)over-cap)

被引：3

作者：

Cox, Ben ^{[1
]}

Futorny, Vyacheslav ^{[2
]}

Misra, Kailash C. ^{[3
]}

机构：

[1] Coll Charleston, Dept Math, Grad Sch, Charleston, SC 29424 USA

[2] Univ Sao Paulo, Dept Math, Sao Paulo, Brazil

[3] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

JOURNAL OF ALGEBRA | 2015年 / 424卷

基金：

巴西圣保罗研究基金会;

关键词：

Quantum affine algebras; Imaginary Verma modules; Kashiwara algebras; Simple modules; QUANTUM AFFINE ALGEBRAS; HIGHEST WEIGHT REPRESENTATIONS; UNIVERSAL ENVELOPING-ALGEBRAS; DIMENSIONAL LIE-ALGEBRAS; YANG-BAXTER EQUATION; PBW BASIS; Q-ANALOG; DEFORMATIONS; BASES;

D O I：

10.1016/j.jalgebra.2014.09.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider imaginary Verma modules for quantum affine algebra U-q((g) over cap), where (g) over cap has Coxeter-Dynkin diagram of ADE type, and construct Kashiwara type operators and the Kashiwara algebra K-q. We show that a certain quotient N-q(-) of U-q((g) over cap) is a simple K-q-module. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：390 / 415

页数：26

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