Combinatorial representation theory of Lie algebras. Richard Stanley's work and the way it was continued
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Publication:2988256
zbMATH Open1364.05088arXiv1406.0352MaRDI QIDQ2988256
Publication date: 18 May 2017
Abstract: Richard Stanley played a crucial role, through his work and his students, in the development of the relatively new area known as combinatorial representation theory. In the early stages, he has the merit to have pointed out to combinatorialists the potential that representation theory has for applications of combinatorial methods. Throughout his distinguished career, he wrote significant articles which touch upon various combinatorial aspects related to representation theory (of Lie algebras, the symmetric group, etc.). I describe some of Richard's contributions involving Lie algebras, as well as recent developments inspired by them (including some open problems), which attest the lasting impact of his work.
Full work available at URL: https://arxiv.org/abs/1406.0352
Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)
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