8 research outputs found
Dipper-James-Murphy's conjecture for Hecke algebras of type B
We prove a conjecture by Dipper, James and Murphy that a bipartition is
restricted if and only if it is Kleshchev. Hence the restricted bipartitions
naturally label the crystal graphs of level two irreducible integrable
-modules and the simple modules of
Hecke algebras of type .Comment: The revised version corrects minor points, the proof of lemma 3.3 has
been improve
Decomposition numbers for weight 3 blocks of Iwahori--Hecke algebras of type B
Let B be a weight- block of an Iwahori--Hecke algebra of type B over any
field. We develop the combinatorics of B to prove that the decomposition
numbers for B are all 0 or 1
ARITHMETIC PROPERTIES OF PARTITIONS AND HECKE-ROGERS TYPE IDENTITIES
Ph.DDOCTOR OF PHILOSOPH