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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PDF (MS dissertation of Abhishek Banerjee (11MS037))
MS_Thesis_-_Abhishek_Banerjee.pdf - Submitted Version Restricted to Repository staff only Download (1MB) |
Official URL: https://www.iiserkol.ac.in
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 06:34 |
| Last Modified: | 08 Aug 2016 06:35 |
| URI: | http://eprints.iiserkol.ac.in/id/eprint/372 |
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