37 citations · 156 across the 44 of their papers we have counts for
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Quantum double of ${\rm U}_q((\ksl_2)^{\leq 0})$
Jun Hu, Yinhuo Zhang
Let be the quantized enveloping algebra associated to the simple Lie algebra . In this paper, we study the quantum double of the Borel subalgebra ${U}_q((…
Mullineux involution and twisted affine Lie algebras
Jun Hu
We use Naito-Sagaki's work [S. Naito & D. Sagaki, J. Algebra 245 (2001) 395--412, J. Algebra 251 (2002) 461--474] on Lakshmibai-Seshadri paths fixed by diagram automorphisms to stu…
Crystal bases and simple modules for Hecke algebras of type G(p,p,n)
Jun Hu
We apply the crystal basis theory for Fock spaces over quantum affine algebras to the modular representations of the cyclotomic Hecke algebras of type . This yields a cla…
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…