An Elementary Approach to Weight Multiplicities in Bivariate Irreducible Representations of Sp(2r)

DOI10.1080/00927872.2013.804928zbMath1338.17011arXiv1303.0359OpenAlexW2084194849MaRDI QIDQ2876269

Julia Maddox

Publication date: 18 August 2014

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

Full work available at URL: https://arxiv.org/abs/1303.0359

zbMATH Keywords

symplectic Lie algebrasymmetric tensormultilinear algebraweight multiplicitysymplectic Lie groupstandard representation

Mathematics Subject Classification ID

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

Related Items (5)

Weight multiplicity formulas for bivariate representations of classical Lie algebras ⋮ Fractional order fixed-time nonsingular terminal sliding mode synchronization and control of fractional order chaotic systems ⋮ Multiplicity formulas for fundamental strings of representations of classical Lie algebras ⋮ Existence of mild solutions for fractional evolution equations with mixed monotone nonlocal conditions ⋮ An Elementary Approach to Weight Multiplicities in Bivariate Irreducible Representations of Sp(2r)

Cites Work

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• An Elementary Approach to Weight Multiplicities in Bivariate Irreducible Representations of Sp(2r)
• Introduction to Lie Algebras and Representation Theory
• Partition Function for Certain Simple Lie Algebras
• A generalization of the Littlewood-Richardson rule

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