An algorithm for Berenstein-Kazhdan decoration functions and trails for minuscule representations

DOI10.1016/j.jalgebra.2022.04.042zbMath1503.17017arXiv2109.01997OpenAlexW3198002705MaRDI QIDQ2161142

Yuki Kanakubo, Toshiki Nakashima, Gleb A. Koshevoy

Publication date: 4 August 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.01997

zbMATH Keywords

combinatoricscrystal basesgeometric crystalsBerenstein-Kazhdan decoration

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Group actions on varieties or schemes (quotients) (14L30)

Cites Work

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• Polyhedral parametrizations of canonical bases \& cluster duality
• Half potential on geometric crystals and connectedness of cellular crystals
• Canonical bases for cluster algebras
• ULD-Lattices and Δ-Bonds
• Double Bruhat cells and total positivity
• Introduction to Lie Algebras and Representation Theory

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