Combinatorial Representation Theory

Abstract

We attempt to survey the field of combinatorial representation theory, describe the main results and main questions and give an update of its current status. We give a personal viewpoint on the field, while remaining aware that there is much important and beautiful work that we have not been able to mention.

Cited by in corpus (11)

• New branching rules induced by plethysm
• Integrality, Duality and Finiteness in Combinatoric Topological Strings
• Enumeration of Standard Young Tableaux
• Poset models for Weyl group analogs of symmetric functions and Schur functions
• Increasing and Decreasing Subsequences of Permutations and Their Variants
• Newell-Littlewood numbers
• Standard modules, radicals, and the valenced Temperley-Lieb algebra
• TeV-scale gravity in Horava-Witten theory on a compact complex hyperbolic threefold
• Crossings and Nestings of Matchings and Partitions
• $s$-Catalan numbers and Littlewood-Richardson polynomials
• The many faces of modern combinatorics