Mathematics – Representation Theory
Scientific paper
2007-09-26
Mathematics
Representation Theory
to appear in Algebras and Representation theory
Scientific paper
Ariki's and Grojnowski's approach to the representation theory of affine
Hecke algebras of type $A$ is applied to type $B$ with unequal parameters to
obtain -- under certain restrictions on the eigenvalues of the lattice
operators -- analogous multiplicity-one results and a classification of
irreducibles with partial branching rules as in type $A$.
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