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15 papers · 1 filter
Remarks on Springer's representations
G. Lusztig
We give an apriori description of a set of irreducible representations of a Weyl group which parametrize the nilpotent orbits in the Lie algebra of a connected reductive group in a…
Ad-nilpotent Ideals and Equivalence Relations
Chuying Fang
In this paper we study ad-nilpotent ideals of a complex simple Lie algebra $\ccg$ and their connections with affine Weyl groups and nilpotent orbits. We define a left equivalence r…
Cluster expansion formulas and perfect matchings
Gregg Musiker, Ralf Schiffler
We study cluster algebras with principal coefficient systems that are associated to unpunctured surfaces. We give a direct formula for the Laurent polynomial expansion of cluster v…
Character sheaves on disconnected groups, X
G. Lusztig
We classify the unipotent character sheaves on a fixed connected component of a reductive algebraic group under a mild hypothesis on the characteristic of the ground field.
A Gelfand Model for Wreath Products
Ron M. Adin, Alexander Postnikov, Yuval Roichman
A Gelafand model for wreath products is constructed. The proof relies on a combinatorial interpretation of the characters of the model, extending a classical result o…
The character sheaves on the group compactification
Xuhua He
We give a definition of character sheaves on the group compactification which is equivalent to Lusztig's definition in \cite{L3}. We also prove some properties of the character she…