An imaginary PBW basis for quantum affine algebras of type 1

被引:2
作者
Cox, Ben [1 ]
Futorny, Vyacheslav [2 ]
Misra, Kailash C. [3 ]
机构
[1] Coll Charleston, Grad Sch, Dept Math, Charleston, SC 29424 USA
[2] Univ Sao Paulo, Dept Math, Sao Paulo, Brazil
[3] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
基金
巴西圣保罗研究基金会;
关键词
HIGHEST WEIGHT REPRESENTATIONS; MODULES; ANALOG; BASES;
D O I
10.1016/j.jpaa.2014.04.011
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let (g) over cap be an affine Lie algebra of type 1. We give a PBW basis for the quantum affine algebra U-q((g) over cap) with respect to the triangular decomposition of (g) over cap associated with the imaginary positive root system. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:83 / 100
页数:18
相关论文
共 24 条
[1]  
[Anonymous], 1990, INFINITE DIMENSIONAL, DOI DOI 10.1017/CBO9780511626234
[2]  
[Anonymous], 1990, J. Amer. Math. Soc, DOI DOI 10.2307/1990961
[3]   CONVEX BASES OF PBW TYPE FOR QUANTUM AFFINE ALGEBRAS [J].
BECK, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 165 (01) :193-199
[4]   Finite-dimensional representations of quantum affine algebras at roots of unity [J].
Beck, J ;
Kac, VG .
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 9 (02) :391-423
[5]   BRAID GROUP ACTION AND QUANTUM AFFINE ALGEBRAS [J].
BECK, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 165 (03) :555-568
[6]   An algebraic characterization of the affine canonical basis [J].
Beck, J ;
Chari, V ;
Pressley, A .
DUKE MATHEMATICAL JOURNAL, 1999, 99 (03) :455-487
[7]   Quantum deformations of imaginary Verma modules [J].
Cox, B ;
Futorny, V ;
Kang, SJ ;
Melville, D .
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1997, 74 :52-80
[8]  
Cox Ben, 2010, CONT MATH, V506, P105
[9]   The R-matrix for non-twisted affine quantum algebras [J].
Damiani, I .
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1998, 31 (04) :493-523
[10]  
Damiani I., 2000, REPRESENTATIONS QUAN, P89