• About
    • Login
    View Item 
    •   Institutional Repository Home
    • Undergraduate Honors Research
    • Undergraduate Honors Program - Physics and Astronomy Department
    • Highest Honors in Physics
    • View Item
    •   Institutional Repository Home
    • Undergraduate Honors Research
    • Undergraduate Honors Program - Physics and Astronomy Department
    • Highest Honors in Physics
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of Institutional RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsDepartmentThis CollectionBy Issue DateAuthorsTitlesSubjectsDepartment

    My Account

    LoginRegister

    LieART 2.0--An Improved Way to Compute Branching Rules

    Saskowski, Robert
    : http://hdl.handle.net/1803/9472
    : 2019-04-18

    Abstract

    In this thesis, 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. LieART 2.0 can now handle all classical and exceptional Lie algebras up through rank 15. 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. Some extended tables of branching rules of irreducible representations are included in the supplementary material for use without Mathematica software.
    Show full item record

    Files in this item

    Thumbnail
    Name:
    Senior_Thesis__LieART_2_0_'.pdf
    Size:
    989.2Kb
    Format:
    PDF
    View/Open

    This item appears in the following collection(s):

    • Highest Honors in Physics

    Connect with Vanderbilt Libraries

    Your Vanderbilt

    • Alumni
    • Current Students
    • Faculty & Staff
    • International Students
    • Media
    • Parents & Family
    • Prospective Students
    • Researchers
    • Sports Fans
    • Visitors & Neighbors

    Support the Jean and Alexander Heard Libraries

    Support the Library...Give Now

    Gifts to the Libraries support the learning and research needs of the entire Vanderbilt community. Learn more about giving to the Libraries.

    Become a Friend of the Libraries

    Quick Links

    • Hours
    • About
    • Employment
    • Staff Directory
    • Accessibility Services
    • Contact
    • Vanderbilt Home
    • Privacy Policy