Representation theory of towers of recollement: Theory, notes, and examples

被引:25
作者
Cox, Anton
Martin, Paul
Parker, Alison
Xi, Changchang
机构
[1] City Univ London, Ctr Math Sci, London EC1V 0HB, England
[2] Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England
[3] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
关键词
D O I
10.1016/j.jalgebra.2006.01.009
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give an axiomatic framework for studying the representation theory of towers of algebras. We introduce a new class of algebras, contour algebras, generalising (and interpolating between) blob algebras and cyclotomic Temperley-Lieb algebras. We demonstrate the utility of our formalism by applying it to this class. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:340 / 360
页数:21
相关论文
共 38 条
[1]  
BEILINSON AA, 1982, ASTERISQUE, P7
[2]   G-colored partition algebras as centralizer algebras of wreath products [J].
Bloss, M .
JOURNAL OF ALGEBRA, 2003, 265 (02) :690-710
[3]   On algebras which are connected with the semisimple continuous groups [J].
Brauer, R .
ANNALS OF MATHEMATICS, 1937, 38 :857-872
[4]  
Brown W. P., 1955, MICH MATH J, V3, P1
[5]  
CLINE E, 1988, J REINE ANGEW MATH, V391, P85
[6]  
Cline E, 1996, MEM AM MATH SOC, P124
[7]   The blob algebra in positive characteristic [J].
Cox, A ;
Graham, J ;
Martin, P .
JOURNAL OF ALGEBRA, 2003, 266 (02) :584-635
[8]  
COX A, BLOCKS BRAUER ALGEBR
[9]   Properly stratified algebras [J].
Dlab, V .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 331 (03) :191-196
[10]   QUASI-HEREDITARY ALGEBRAS [J].
DLAB, V ;
RINGEL, CM .
ILLINOIS JOURNAL OF MATHEMATICS, 1989, 33 (02) :280-291