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Abstract
We consider simple modules for a Hecke algebra with a parameter of quantum characteristic e. Equivalently, we consider simple modules D λ, labelled by erestricted partitions λ of n, for a cyclotomic KLR algebra RΛ0n over a field of characteristic p ≥ 0, with mild restrictions on p. If all parts of λ are at most 2, we identify a set DStde, p (λ) of standard λtableaux, which is defined combinatorially and naturally labels a basis of D λ. In particular, we prove that the qcharacter of D λ can be described in terms of DStde, p (λ). We show that a certain natural approach to constructing a basis of an arbitrary D λ does not work in general, giving a counterexample to a conjecture of Mathas.
Original language  English 

Pages (fromto)  631669 
Journal  Transformation Groups 
Volume  23 
Issue number  3 
Early online date  19 Oct 2017 
DOIs  
Publication status  Epub ahead of print  19 Oct 2017 
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Dive into the research topics of 'ON BASES OF SOME SIMPLE MODULES OF SYMMETRIC GROUPS AND HECKE ALGEBRAS'. Together they form a unique fingerprint.Projects
 1 Finished

Graded representations of symmetric groups and related algebras
Evseev, A.
Engineering & Physical Science Research Council
1/09/14 → 31/08/16
Project: Research Councils