A dimension formula for reduced plethysms

J. A.Castilho Alcarás; J. Tambergs; T. Krasta; J. Ruža; O. Katkevičius

doi:10.1088/0305-4470/38/34/004

A dimension formula for reduced plethysms

J. A.Castilho Alcarás^*
, J. Tambergs
, T. Krasta
, J. Ruža
, O. Katkevičius

^*Corresponding author for this work

Universidade Estadual Paulista Júlio de Mesquita Filho
University of Latvia
Vilnius University

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

2 Citations (Scopus)

Abstract

The boson calculus formalism is used to construct realizations of basis states of irreducible representations of unitary groups taking as a paradigm the interacting boson models of atomic nuclei. These realizations, together with a theorem on plethysms for obtaining branching rules, allowed us to obtain a dimension formula for reduced plethysms.

Original language	English
Pages (from-to)	7501-7508
Number of pages	8
Journal	Journal of Physics A: Mathematical and General
Volume	38
Issue number	34
DOIs	https://doi.org/10.1088/0305-4470/38/34/004
Publication status	Published - 26 Aug 2005

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title = "A dimension formula for reduced plethysms",

abstract = "The boson calculus formalism is used to construct realizations of basis states of irreducible representations of unitary groups taking as a paradigm the interacting boson models of atomic nuclei. These realizations, together with a theorem on plethysms for obtaining branching rules, allowed us to obtain a dimension formula for reduced plethysms.",

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AU - Alcarás, J. A.Castilho

AU - Tambergs, J.

AU - Krasta, T.

AU - Ruža, J.

AU - Katkevičius, O.

PY - 2005/8/26

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N2 - The boson calculus formalism is used to construct realizations of basis states of irreducible representations of unitary groups taking as a paradigm the interacting boson models of atomic nuclei. These realizations, together with a theorem on plethysms for obtaining branching rules, allowed us to obtain a dimension formula for reduced plethysms.

AB - The boson calculus formalism is used to construct realizations of basis states of irreducible representations of unitary groups taking as a paradigm the interacting boson models of atomic nuclei. These realizations, together with a theorem on plethysms for obtaining branching rules, allowed us to obtain a dimension formula for reduced plethysms.

UR - https://www.scopus.com/pages/publications/23844509531

U2 - 10.1088/0305-4470/38/34/004

DO - 10.1088/0305-4470/38/34/004

M3 - Article

AN - SCOPUS:23844509531

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JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 34

ER -

A dimension formula for reduced plethysms

Abstract

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