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Automation of Simple and Semi-Simple Lie Algebra and Representation Theory

Banerjee, Abhishek (2016) Automation of Simple and Semi-Simple Lie Algebra and Representation Theory. Masters thesis, Indian Institute of Science Education and Research Kolkata.

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    Abstract

    We study simple and semi-simple lie algebra and representation theory and automation of them in computationally efficient way. We automate generation of lie algebras, representations and tensor product decomposition of them. We generate the breaking patterns for the said algebra. We analyze the breaking pattern for tensor decomposed irreps. when mother algebra breaks into sub-algebras. We study the symmetry breaking pattern in detail and propose more ways of breaking an algebra and consequent representations.

    Item Type: Thesis (Masters)
    Additional Information: Supervisor: Dr. Ritesh K. Singh
    Uncontrolled Keywords: Automation; Lie Algebra; Semi-simple Lie Algebra; Representation Theory; Simple Lie Algebra; Symmetry Breaking; Tensor Decomposition
    Subjects: Q Science > QC Physics
    Divisions: Department of Physical Sciences
    Depositing User: IISER Kolkata Librarian
    Date Deposited: 08 Aug 2016 12:04
    Last Modified: 08 Aug 2016 12:05
    URI: http://eprints.iiserkol.ac.in/id/eprint/372

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