2019/12/02 by Zhao, Deke
#05A99 #16G99 (Primary) #20C15 (Secondary) #20C99 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1912.00639
The paper aims to introduce the cyclotomic q-Schur superalgebra via the permutation supermodules of the cyclotomic Hekce algebra and investigate its structure. In particular, we show that the cyclotomic q-Schur superalgebra is a cellular superalgebra and establish the Schur-Weyl duality between the cyclotomic Hecke algebra and the cyclotomic q-Schur superalgebra.