111 citations · 160 across the 5 of their papers we have counts for
8 papers
Dual canonical bases and Kazhdan-Lusztig polynomials
Jonathan Brundan
We derive a formula for the entries of the (unitriangular) transition matrices between the standard monomial and dual canonical bases of the irreducible polynomial representations…
Shifted Yangians and finite W-algebras
Jonathan Brundan, Alexander Kleshchev
We give a presentation for the finite W-algebra associated to a nilpotent matrix inside the general linear Lie algebra over C. In the special case that the nilpotent matrix consist…
A new proof of the Mullineux conjecture
J. Brundan, J. Kujawa
Let S_d be the symmetric group on d letters and let k be a field of characteristic p>2. Tensoring an irreducible S_d module with the sign representation defines an involution on th…
Tilting modules for Lie superalgebras
Jonathan Brundan
This is a companion article to my papers on Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebras gl(m|n) (much revised!) and q(n). The goal is to develop th…
Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra q(n)
Jonathan Brundan
The problem of computing the characters of the finite dimensional irreducible representations of the Lie superalgebra over $\C$ was solved in 1996 by I. Penkov and…
Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra gl(m|n)
Jonathan Brundan
The problem of computing the characters of the finite dimensional irreducible representations of the Lie superalgebra over $\C$ was solved a few years ago by V…