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8 papers · 1 filter
Typical blocks of Lie superalgebras in prime characteristic
Lei Zhao
For a type I basic classical Lie superalgebra , we establish an equivalence between typical blocks of categories…
Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type
Ta Khongsap, Weiqiang Wang
We introduce an odd double affine Hecke algebra (DaHa) generated by a classical Weyl group W and two skew-polynomial subalgebras of anticommuting generators. This algebra is shown…
Modular representations and branching rules for wreath Hecke algebras
Jinkui Wan, Weiqiang Wang
We introduce a generalization of degenerate affine Hecke algebra, called wreath Hecke algebra, associated to an arbitrary finite group G. The simple modules of the wreath Hecke alg…
Structure of T modules and restricted duals: the classical and the quantum case
Dijana Jakelic
A concrete realization of Enright's modules is obtained. This is used to show their self-duality. As a consequence, the restricted duals of Verma modules are also identified.
The Bloch-Okounkov correlation functions of negative levels
Shun-Jen Cheng, David G. Taylor, Weiqiang Wang
Bloch and Okounkov introduced an -point correlation function on the fermionic Fock space and found a closed formula in terms of theta functions. This function affords several di…
Brundan-Kazhdan-Lusztig and super duality conjectures
Shun-Jen Cheng, Weiqiang Wang
We formulate a general super duality conjecture on connections between parabolic categories O of modules over Lie superalgebras and Lie algebras of type A, based on a Fock space fo…