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Your search keyword '"Fahad Alshammari"' showing total 1 results
Start Over Author "Fahad Alshammari" Journal journal of physics a: mathematical & theoretical
1 results on '"Fahad Alshammari"'

1. A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras.

Author

Fahad Alshammari, Phillip S Isaac, and Ian Marquette

Subjects
*LIE algebras, *OPERATOR algebras, *DIFFERENTIAL operators
Abstract

We introduce a search algorithm that utilises differential operator realisations to find polynomial Casimir operators of Lie algebras. To demonstrate the algorithm, we look at two classes of examples: (1) the model filiform Lie algebras and (2) the Schrödinger Lie algebras. We find that an abstract form of dimensional analysis assists us in our algorithm, and greatly reduces the complexity of the problem. [ABSTRACT FROM AUTHOR]

Published
2018
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