On representation theory of affine Hecke algebras of type B

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...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoir: Miemietz, V
Formáid: Journal article
Foilsithe / Cruthaithe: 2007
Cur síos
Achoimre: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 $A$.