Representation theory of symmetric groups and related Hecke algebras
By Alexander S. Kleshchev. 2009
60 citations recorded by the source corpus.
We survey some fundamental trends in representation theory of symmetric groups and related objects which became apparent in the last fifteen years. The emphasis is on connections with Lie theory via categorification. We present results on branching rules and crystal graphs, decomposition numbers and canonical bases, graded representation theory, connections with cyclotomic and affine Hecke algebras, Khovanov-Lauda-Rouquier algebras, category O, W -algebras, . . .
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/c94a822c373284444e3d83d0af881eb809752e3a
How researchers see this paper
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In Algebra and Number Theory
- Arun Ram
- Alexander S. Kleshchev
- Andrew Mathas
- Roozbeh Hazrat
- Jonathan Brundan
- Aaron D. Lauda
- Raphaël Rouquier
- Alexei Stepanov
In Discrete Mathematics and Combinatorics
- Arun Ram
- Alexander S. Kleshchev
- Roozbeh Hazrat
- Andrew Mathas
- Jonathan Brundan
- Aaron D. Lauda
- Monica Vazirani
- Alexei Stepanov
In Geometry and Topology
- Arun Ram
- Alexander S. Kleshchev
- Andrew Mathas
- Roozbeh Hazrat
- Jonathan Brundan
- Aaron D. Lauda
- Ben Webster
- I. Gordon
Citations in the corpus
- Graded Rings and Graded Grothendieck Groups (2014, background): “For this line of research see the survey [56].”
- Universal graded Specht modules for cyclotomic Hecke algebras (2011, background): “We refer the reader to [18] for a survey of these ideas and further references.”
- Representations of Khovanov–Lauda–Rouquier algebras and combinatorics of Lyndon words (2009, methodology): “We refer the reader e.g. to [ 10 ] for details on that.”