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.

[img] PDF (MS dissertation of Abhishek Banerjee (11MS037))
MS_Thesis_-_Abhishek_Banerjee.pdf - Submitted Version
Restricted to Repository staff only

Download (1MB)
Official URL:


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

Actions (login required)

View Item View Item