Primitive orthogonal idempotents for R-trivial monoids

JOURNAL OF ALGEBRA

卷:348

Article

Berg, Chris^1,2,3  Bergeron, Nantel^1,2  Bhargava, Sandeep^1,2  Saliola, Franco^1,2,3 

[1] Fields Inst, Toronto, ON, Canada

[2] York Univ, Toronto, ON M3J 2R7, Canada

[3] Univ Quebec, Montreal, PQ H3C 3P8, Canada

关键词: Monoids;    0-Hecke algebras;    Left regular bands;    Primitive orthogonal idempotents;    Representation theory;   

DOI  :  10.1016/j.jalgebra.2011.10.006

来源: Elsevier

【 摘 要 】

We construct a recursive formula for a complete system of primitive orthogonal idempotents for any R-trivial monoid. This uses the newly proved equivalence between the notions of R-trivial monoid and weakly ordered monoid. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free