219 citations
- East China Normal UniversityCN4 papers
- Michigan State UniversityUS4 papers
- Pusan National UniversityKR3 papers
- Ritsumeikan UniversityJP3 papers
- University of KentuckyUS3 papers
- Baylor UniversityUS2 papers
- California Institute of TechnologyUS2 papers
- Max Planck Institute for MathematicsDE2 papers
- Max Planck Institute for Mathematics in the SciencesDE2 papers
- Murray State UniversityUS2 papers
- University of California, Los AngelesUS2 papers
- Académie de ParisFR1 paper
6 papers · 1 filter
Representations of the general linear groups which are irreducible over subgroups
Alexander S. Kleshchev, Pham Huu Tiep
We classify all triples such that , is a representation of of dimension greater than one over an algebraically closed field $\FF$ of ch…
Representations of finite special linear groups in non-defining characteristic
Alexander S. Kleshchev, Pham Huu Tiep
We determine precisely the number of irreducible summands of an irreducible cross characteristic representation of on restriction to . Combined with a recent…
Quiver varieties and Lusztig's algebra
Anton Malkin, Victor Ostrik, Maxim Vybornov
We study preprojective algebras of graphs and their relationship to module categories over representations of quantum SL(2). As an application, ADE quiver varieties of Nakajima are…
Cluster algebras III: Upper bounds and double Bruhat cells
Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky
We continue the study of cluster algebras initiated in math.RT/0104151 and math.RA/0208229. We develop a new approach based on the notion of an upper cluster algebra, defined as an…
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…