33 research outputs found
Super Schur-Weyl reciprocity for cyclotomic Hecke algebras
Let be the quantized superalgebra of
and the cyclotomic Hecke algebra of type . We
define a right -action on the -fold tensor
(super)space of the vector representation of and prove the
Schur--Weyl reciprocity between U_q(\mathfak{g}) and .Comment: Title changed, Some typos fixed and other minor change
Cyclotomic -Schur superalgebras
The paper aims to introduce the cyclotomic -Schur superalgebra via the
permutation supermodules of the cyclotomic Hekce algebra and investigate its
structure. In particular, we show that the cyclotomic -Schur superalgebra is
a cellular superalgebra and establish the Schur-Weyl duality between the
cyclotomic Hecke algebra and the cyclotomic -Schur superalgebra.Comment: 14 page