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Title: Splints of Root Systems of Basic Lie Superalgebras
Authors: Padhan, Rudra Narayan
Pati, K.C
Keywords: Lie superalgebra
Lie algebras
Issue Date: Jul-2018
Citation: 32nd International Colloquium on Group Theoretical Methods in Physics (Group32), Czech Technical University in Prague, Czech Republic,09-13 July 2018.
Abstract: Splints11 of root systems of simple Lie algebras appear naturally on the studies of embedding of reductive subalgebras. A splint can be used to construct branching rules, as implementation of this idea simplifies calculation of branching coefficients. We extend the concept of splints to basic Lie superalgebras case as these algebras have wide applications in physics. In this context we have determined the splints of root system of all basic Lie superalgebras and hope to contribute towards a small step in the direction of representation of these algebras.
Description: Copyright of this paper belongs to the proceedings publisher.
Appears in Collections:Conference Papers

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