12 citations
2 papers
hep-th2005★ 12 cited
Determinant Representation of Correlation Functions for the Free Fermion Model
Shao-You Zhao, Wen-Li Yang, Yao-Zhong Zhang
With the help of the factorizing -matrix, the scalar products of the free fermion model are represented by determinants. By means of these results, we obtain the…
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…