Article ID Journal Published Year Pages File Type
4586714 Journal of Algebra 2010 23 Pages PDF
Abstract

The Schur algebras are realized in the ring of constructible functions on the generalized Steinberg varieties attached to the n-step flag varieties. The semicanonical bases for Schur algebras are defined and shown to behave in the simplest possible way under the transfer maps. Such a property of the semicanonical basis is conjectured in Lusztig (2002) [L6, 5.5].

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory