A new approach to standard monomial theory for classical groups

DOI10.1007/BF01237840zbMath0893.17006OpenAlexW2044152642MaRDI QIDQ1383877

Komaranapuram N. Raghavan, Parameswaran Sankaran

Publication date: 21 June 1998

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01237840

zbMATH Keywords

standard tableauxclassical semisimple Lie algebrasrepresentations of classical Lie algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Grassmannians, Schubert varieties, flag manifolds (14M15)

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Hilbert functions of points on Schubert varieties in orthogonal grassmannians ⋮ On Verma bases for representations of sl(n,C) ⋮ Dual standard monomial theoretic and canonical bases for type \(A\) ⋮ Seshadri stratification for Schubert varieties and standard monomial theory

Cites Work

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• A plactic algebra for semisimple Lie algebras
• Geometry of G/P. V
• A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
• Paths and root operators in representation theory