2 citations · 2 across the 2 of their papers we have counts for
8 papers
Presenting generalized Schur algebras in types B,C,D
Stephen Doty, Anthony Giaquinto, John Sullivan
We give explicit presentations by generators and relations of certain generalized Schur algebras (associated with tensor powers of the natural representation) in types B, C, D. Thi…
Algebraic deformations arising from orbifolds with discrete torsion
Andrei Caldararu, Anthony Giaquinto, Sarah Witherspoon
We develop methods for computing Hochschild cohomology groups and deformations of crossed product rings. We use these methods to find deformations of a ring associated to a particu…
Presenting Schur Algebras
Stephen Doty, Anthony Giaquinto
Motivated by work of R.M. Green, we obtain a presentation of Schur algebras (both the classical and quantized versions) in terms of generators and relations. The presentation is co…
Generators and relations for Schur algebras
Stephen Doty, Anthony Giaquinto
We obtain a presentation of Schur algebras (and q-Schur algebras) by generators and relations which is compatible with the usual presentation of the enveloping algebra (quantized e…
Presenting quantum Schur algebras as quotients of the quantized universal enveloping algebra of gl(2)
Stephen Doty, Anthony Giaquinto
We obtain a presentation of quantum Schur algebras (over the field Q(v)) by generators and relations. This presentation is compatible with the usual presentation of the quantized u…
Presenting Schur algebras as quotients of the universal enveloping algebra of gl(2)
Stephen Doty, Anthony Giaquinto
We give a presentation of Schur algebras (over the rational number field) by generators and relations, in fact a presentation which is compatible with Serre's presentation of the u…