Plethysms and interacting boson models

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

doi:10.1063/1.1611265

Plethysms and interacting boson models

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

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

6 Citations (Scopus)

Abstract

A short review of the plethysm technique aiming to its application in finding branching rules for the reduction of an irreducible representation of a group under the restriction to one of its subgroups is given. The algebraic structure of the interacting boson model and some of its extensions is given together with the branching rules needed to classify their basis states, obtained by the use of plethysms.

Original language	English
Pages (from-to)	5296-5319
Number of pages	24
Journal	Journal of Mathematical Physics
Volume	44
Issue number	11
DOIs	https://doi.org/10.1063/1.1611265
Publication status	Published - Nov 2003

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10.1063/1.1611265

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title = "Plethysms and interacting boson models",

abstract = "A short review of the plethysm technique aiming to its application in finding branching rules for the reduction of an irreducible representation of a group under the restriction to one of its subgroups is given. The algebraic structure of the interacting boson model and some of its extensions is given together with the branching rules needed to classify their basis states, obtained by the use of plethysms.",

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AU - Castilho Alcarás, J. A.

AU - Tambergs, J.

AU - Krasta, T.

AU - Ruža, J.

AU - Katkevičius, O.

PY - 2003/11

Y1 - 2003/11

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AB - A short review of the plethysm technique aiming to its application in finding branching rules for the reduction of an irreducible representation of a group under the restriction to one of its subgroups is given. The algebraic structure of the interacting boson model and some of its extensions is given together with the branching rules needed to classify their basis states, obtained by the use of plethysms.

UR - https://www.scopus.com/pages/publications/0242635607

U2 - 10.1063/1.1611265

DO - 10.1063/1.1611265

M3 - Review article

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SP - 5296

EP - 5319

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 11

ER -

Plethysms and interacting boson models

Abstract

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