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

By Shun-Jen Cheng, Ngau Lam, Weiqiang Wang. 2012

72 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a42a423db39467d35afeffc0b33aef2fb7097f08

How researchers see this paper

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In Algebra and Number Theory

1. Huanchen Bao
2. Weiqiang Wang
3. Alexander S. Kleshchev

In Discrete Mathematics and Combinatorics

1. Huanchen Bao
2. Weiqiang Wang

In Geometry and Topology

1. Huanchen Bao
2. Weiqiang Wang
3. C. Stroppel
4. Alexander S. Kleshchev

Citations in the corpus

• A new approach to Kazhdan-Lusztig theory of type ${\bf B}$ via quantum symmetric pairs (2013, methodology): “is play the role of Kazhdan-Lusztig polynomials in our category Ob. Granting the existence of the (dual) ı-canonical bases of Tb, the overall strategy of a proof of (b-KL) follows the one employed in [CLW2] in establishing Brundan’s Kazhdan-Lusztig-type conjecture, which is done by induction on nwit”