Pamela E. Harris, Edward L. Lauber, “Weight $q$-multiplicities for representations of $\mathfrak{sp}_4(\mathbb{C})$”, J. Sib. Fed. Univ. Math. Phys., 10:4 (2017), 494

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Journal of Siberian Federal University. Mathematics & Physics, 2017, Volume 10, Issue 4, Pages 494–502 (Mi jsfu578)

This article is cited in 5 scientific papers (total in 5 papers)

Weight

$q$ -multiplicities for representations of

$\mathfrak{sp}_4(\mathbb{C})$

Pamela E. Harris, Edward L. Lauber

Williams College, Williamstown, MA 01267, USA

Full-text PDF (121 kB) Citations (5)

References:

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Abstract: In this paper we present a closed formula for the values of the

$q$ -analog of Kostant's partition function for the Lie algebra

$\mathfrak{sp}_4(\mathbb{C})$ and use this result to give a simple formula for the

$q$ -multiplicity of a weight in the representations of the Lie algebra

$\mathfrak{sp}_4(\mathbb{C})$ . This generalizes the 2012 work of Refaghat and Shahryari that presented a closed formula for weight multiplicities in representations of the Lie algebra

$\mathfrak{sp}_4(\mathbb{C})$ .

Keywords: Sympletic Lie algebra, Kostant partition functions,

$q$ -analog of Kostant partition function, weight multiplicity, weight

$q$ -multiplicity.

Received: 18.01.2017
Received in revised form: 03.04.2017
Accepted: 20.08.2017

Document Type: Article

UDC: 517.9

Language: English

Citation: Pamela E. Harris, Edward L. Lauber, “Weight

$q$ -multiplicities for representations of

$\mathfrak{sp}_4(\mathbb{C})$ ”, J. Sib. Fed. Univ. Math. Phys., 10:4 (2017), 494–502

Citation in format AMSBIB

\Bibitem{HarLau17}

\by Pamela~E.~Harris, Edward~L.~Lauber

\paper Weight $q$-multiplicities for representations of $\mathfrak{sp}_4(\mathbb{C})$

\jour J. Sib. Fed. Univ. Math. Phys.

\yr 2017

\vol 10

\issue 4

\pages 494--502

\mathnet{http://mi.mathnet.ru/jsfu578}

Linking options:

https://www.mathnet.ru/eng/jsfu578

https://www.mathnet.ru/eng/jsfu/v10/i4/p494

This publication is cited in the following 5 articles:

Garcia R.E., Harris P.E., Loving M., Martinez L., Melendez D., Rennie J., Rojas Kirby G., Tinoco D., “on Kostant'S Weight Q-Multiplicity Formula For Sl(4)(C)”, Appl. Algebr. Eng. Commun. Comput., 33:4 (2022), 353–418
E. Shahi, H. Refaghat, Ya. Marefat, “Kostant partition function for sl(4)(c) and sp(6)(c)”, Cogent Math. Stat., 8 (2021)
J. Cockerham, M. G. Gonzalez, P. E. Harris, M. Loving, A. V. Minino, J. Rennie, G. R. Kirby, “Weight q-multiplicities for representations of the exceptional Lie algebra G(2)”, Bull. Belg. Math. Soc.-Simon Steven, 27:5 (2020), 641–662
C. Benedetti, Ch. R. H. Hanusa, P. E. Harris, A. H. Morales, A. Simpson, “Kostant's partition function and magic multiplex juggling sequences”, Ann. Comb., 24:3 (2020), 439–473
P. E. Harris, M. Rahmoeller, L. Schneider, A. Simpson, “When Is the Q-multiplicity of a Weight a Power of Q?”, Electron. J. Comb., 26:4 (2019), P4.17

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Журнал Сибирского федерального университета. Серия "Математика и физика"

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Abstract page:	267
Full-text PDF :	95
References:	51

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