Zones of uniform decomposition in tensor products1

Alex Jay Feingold; Alex Jay Feingold

doi:10.1090/S0002-9939-1978-0472943-2

Zones of uniform decomposition in tensor products1

Alex Jay Feingold
, Alex Jay Feingold

Mathematics and Statistics

Binghamton University

Yale University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Let Vx be a finite dimensional irreducible module for a complex semisimple Lie algebra. It is shown that the decomposition of tensor products Vx ® Vr for all dominant integral weights t may be derived from those for a finite set of such r. An explicit choice of such a finite set (depending on X) is given.

Original language	English
Pages (from-to)	109-113
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	70
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1978-0472943-2
State	Published - Jul 1978

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title = "Zones of uniform decomposition in tensor products1",

abstract = "Let Vx be a finite dimensional irreducible module for a complex semisimple Lie algebra. It is shown that the decomposition of tensor products Vx {\textregistered} Vr for all dominant integral weights t may be derived from those for a finite set of such r. An explicit choice of such a finite set (depending on X) is given.",

author = "Feingold, \{Alex Jay\} and Feingold, \{Alex Jay\}",

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AB - Let Vx be a finite dimensional irreducible module for a complex semisimple Lie algebra. It is shown that the decomposition of tensor products Vx ® Vr for all dominant integral weights t may be derived from those for a finite set of such r. An explicit choice of such a finite set (depending on X) is given.

UR - https://www.scopus.com/pages/publications/84966214610

U2 - 10.1090/S0002-9939-1978-0472943-2

DO - 10.1090/S0002-9939-1978-0472943-2

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VL - 70

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EP - 113

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

Zones of uniform decomposition in tensor products1

Abstract

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