Article ID Journal Published Year Pages File Type
4588029 Journal of Algebra 2007 14 Pages PDF
Abstract

In [J. Du, Q. Fu, J.-P. Wang, Infinitesimal quantum gln and little q-Schur algebras, J. Algebra 287 (2005) 199–233], little q-Schur algebras were introduced as homomorphic images of infinitesimal quantum gln in the odd root of unity case. In this paper, we shall introduce little q-Schur algebras uk(n,r) at even roots of unity. We shall construct various bases for uk(n,r) and give the dimension formula of uk(n,r).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory