The virtual cactus group and Littelmann paths

DOI10.37236/12034arXiv2302.11560MaRDI QIDQ6117418

Jacinta Torres

Publication date: 19 February 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.11560

zbMATH Keywords

quantized enveloping algebraKac-Moody algebraKleber's algorithmvirtual crystals

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Cites Work

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• Virtualization map for the Littelmann path model
• Paths and root operators in representation theory
• Crystals and coboundary categories
• Crystal Bases
• Combinatorics of Coxeter Groups

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