Generating functions and elementary Young tableaux

DOI10.1088/0305-4470/23/11/018zbMath0718.22008OpenAlexW1992378126MaRDI QIDQ5749482

R. T. Sharp, Mathieu Couture, C. J. Cummins

Publication date: 1990

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/23/11/018

zbMATH Keywords

statesGröbner basessyzygiessemisimple Lie groupsirreducible representationsweight multiplicitiesgenerating function techniquenumber of invariantsbranching rule multiplicitiescharacter generating functionselementary multipletselementary Young tableauxenveloping algebra generating functionspolynomial bases for group representationsstretched product

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46)

Related Items (5)

THREE-POINT FUNCTIONS IN CONFORMAL FIELD THEORY WITH AFFINE LIE GROUP SYMMETRY ⋮ Fusion bases as facets of polytopes ⋮ Generating-function method for tensor products ⋮ Generating-function method for fusion rules ⋮ Berenstein-Zelevinsky triangles, elementary couplings, and fusion rules

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