Good bases for G-modules

DOI10.1007/BF00181464zbMath0704.20035OpenAlexW2010855929MaRDI QIDQ916787

Olivier Mathieu

Publication date: 1990

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00181464

zbMATH Keywords

Borel subgroupsemi-simple algebraic groupmaximal torustensor product decompositionfundamental weightsClebsch- Gordan coefficientsG-modulesdominant weightgood basessystem of simple roots

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

Dual canonical bases for the quantum special linear group and invariant subalgebras ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras ⋮ Newton-Okounkov polyhedra for character varieties and configuration spaces

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