Open AccessIndecomposable Soergel bimodules for universal Coxeter groups
Author(s) -
Ben Elias,
Nicolás Libedinsky
Publication year - 2016
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/tran/6754
Subject(s) - coxeter group , indecomposable module , mathematics , conjecture , bimodule , pure mathematics , set (abstract data type) , algebra over a field , combinatorics , computer science , programming language
We produce an explicit recursive formula which computes the idempotent projecting to any indecomposable Soergel bimodule for a universal Coxeter system. This gives the exact set of primes for which the positive characteristic analogue of Soergel’s conjecture holds. Along the way, we introduce the multicolored Temperley-Lieb algebra.