A relationship between Gelfand-Tsetlin bases and Chari-Loktev bases for irreducible finite dimensional representations of special linear Lie algebras

DOI10.1090/conm/738/14882zbMath1472.17036arXiv1903.02768OpenAlexW2977445035MaRDI QIDQ5208846

Sankaran Viswanath, Bhimarthi Ravinder, Komaranapuram N. Raghavan

Publication date: 22 January 2020

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02768

zbMATH Keywords

Gelfand-Tsetlin basisChari-Loktev basisrow-wise dominance orderupper triangularity

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Cites Work

• Unnamed Item
• Weyl, Demazure and fusion modules for the current algebra of \(\mathfrak{sl}_{r+1}\)
• On Chari-Loktev bases for local Weyl modules in type \(A\)
• Gelfand–Tsetlin Bases for Classical Lie Algebras

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