The brundan-kazhdan-lusztig conjecture for general linear lie superalgebras

  title={The brundan-kazhdan-lusztig conjecture for general linear lie superalgebras},
  author={Shun-Jen Cheng and Ngau Lam and Weiqiang Wang},
  journal={Duke Mathematical Journal},
In the framework of canonical and dual canonical bases of Fock spaces, Brundan in 2003 formulated a Kazhdan-Lusztig type conjecture for the characters of the irreducible and tilting modules in the BGG category for the general linear Lie superalgebra for the first time. In this paper, we prove Brundan's conjecture and its variants associated to all Borel subalgebras in full generality. 
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