Projects per year
Abstract
In this note we are interested in labelling the irreducible representations of nonsemisimple specialisations of Hecke algebras of complex reflection groups. We will use category O for the rational Cherednik algebra and the KZ functor together with elementary algebraic and combinatorial arguments to construct "canonical basic sets" in many cases. We will also show that the images of the standard modules through the KZ functor agree with the appropriate cell modules, whenever the Hecke algebra has a cellular structure.
Original language  Undefined/Unknown 

Publication status  Published  20 Apr 2011 
Keywords
 math.RT
 math.CO
 20C08, 16G, 05E10
Projects
 1 Finished

RIGID STRUCTURE IN NONCOMMUTATIVE, GEOMETRIC & COMBINATORIAL PROBLEMS
1/09/08 → 30/06/14
Project: Research