LieART 2.0 – A Mathematica application for Lie Algebras and Representation Theory

Feger, Robert; Kephart, Thomas W.; Saskowski, Robert J.

doi:10.1016/j.cpc.2020.107490

Title: LieART 2.0 – A Mathematica application for Lie Algebras and Representation Theory

Journal Article · Wed Jul 15 00:00:00 EDT 2020 · Computer Physics Communications

DOI:https://doi.org/10.1016/j.cpc.2020.107490· OSTI ID:1778227

^[1]; Kephart, Thomas W. ^[2];

^[3]

Deutscher Wetterdienst, Offenbach (Germany)
Vanderbilt Univ., Nashville, TN (United States)
Vanderbilt Univ., Nashville, TN (United States); Univ. of Michigan, Ann Arbor, MI (United States)

In this paper, we present LieART 2.0 which contains substantial extensions to the Mathematica application LieART (Lie Algebras and Representation Theory) for computations frequently encountered in Lie algebras and representation theory, such as tensor product decomposition and subalgebra branching of irreducible representations. The basic procedure is unchanged—it computes root systems of Lie algebras, weight systems and several other properties of irreducible representations, but new features and procedures have been included to allow the extensions to be seamless. The new version of LieART continues to be user friendly. New extended tables of properties, tensor products and branching rules of irreducible representations are included in the supplementary material for use without Mathematica software. LieART 2.0 now includes the branching rules to special subalgebras for all classical and exceptional Lie algebras up to and including rank 15.

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Research Organization:: Vanderbilt Univ., Nashville, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0019235

OSTI ID:: 1778227

Alternate ID(s):: OSTI ID: 1646527

Journal Information:: Computer Physics Communications, Vol. 257; ISSN 0010-4655

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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LieART 2.0 – A Mathematica application for Lie Algebras and Representation Theory Feger, Robert https://doi.org/10.17632/8vm7j67bwt The current record is supplemented by this dataset	dataset	January 2020
LieART 2.0 – A Mathematica application for Lie Algebras and Representation Theory Feger, Robert https://doi.org/10.17632/8vm7j67bwt.1 The current record is supplemented by this dataset	dataset	January 2020

Title: LieART 2.0 – A Mathematica application for Lie Algebras and Representation Theory

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