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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Geometry of weight diagrams for $ {\rm U}(n)$


Author: Eng-Chye Tan
Journal: Trans. Amer. Math. Soc. 336 (1993), 173-192
MSC: Primary 22E46; Secondary 17B10, 20G05
DOI: https://doi.org/10.1090/S0002-9947-1993-1131077-7
MathSciNet review: 1131077
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Abstract: We study the geometry of the weight diagrams for irreducible representations of $ U(n)$. Multiplicity-one weights are shown to have nice geometric characterizations. We then apply our results to study multiplicity-one $ K$-types of principal representations of $ U(n,n)$.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1993-1131077-7
Keywords: Weight diagrams, multiplicity-one weights, $ K$-types, $ K$-type diagrams
Article copyright: © Copyright 1993 American Mathematical Society