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math.QA2005★ 1 cited
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…
math.QA2004★ 24 cited
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…