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Multiplicity formulas for fundamental strings of representations of classical Lie algebras

Lauret, Emilio Agustin et al · American Institute of Physics · 2017

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Author / responsible party
Lauret, Emilio Agustin et al
Publisher
American Institute of Physics
Year
2017
ISSN
0022-2488
ISSN
0022-2488
Language
English

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We call the p-fundamental string of a complex simple Lie algebra to the sequence of irreducible representations having highest weights of the form kω1 +ωp for k ≥ 0, where ωj denotes the jth fundamental weight of the associated root system. For a classical complex Lie algebra, we establish a closed explicit formula for the weight multiplicities of any representation in any p-fundamental string. Fil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Humboldt Universität zu Berlin; Alemania Fil: Rossi Bertone, Fiorela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina

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APA 7

Lauret, E. A. E. A. (2017). Multiplicity formulas for fundamental strings of representations of classical Lie algebras. http://hdl.handle.net/11336/59966

MLA

Lauret, Emilio Agustin et al. "Multiplicity formulas for fundamental strings of representations of classical Lie algebras." 2017. http://hdl.handle.net/11336/59966.

Chicago

Lauret, Emilio Agustin et al. 2017. "Multiplicity formulas for fundamental strings of representations of classical Lie algebras.". http://hdl.handle.net/11336/59966.

Harvard

Lauret, E. A. E. A. 2017, Multiplicity formulas for fundamental strings of representations of classical Lie algebras, American Institute of Physics, available at: http://hdl.handle.net/11336/59966 [Accessed 8 Aug. 2026].

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Title
Multiplicity formulas for fundamental strings of representations of classical Lie algebras
Author / contributors
Lauret, Emilio Agustin et al
Publisher
American Institute of Physics
Publication year
2017
ISSN
0022-2488
ISSN
0022-2488
Language
English

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WEIGHT MULTIPLICITY FORMULA; FUNDAMENTAL STRING; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1
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