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math.RT2005
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…
math.RT2005★ 1 cited
Brauer algebras, symplectic Schur algebras and Schur-Weyl duality
Richard Dipper, Stephen Doty, Jun Hu
In this paper we prove Schur-Weyl duality between the symplectic group and Brauer algebra over an arbitrary infinite field . We show that the natural homomorphism from the Braue…