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http://hdl.handle.net/2080/4603
Title: | Isoclinism and Relative Central Extensions of a Pair of Lie Superalgebras |
Authors: | Khuntia, Tofan Kumar |
Keywords: | Isoclinism Lie Superalgebras |
Issue Date: | Jun-2024 |
Citation: | Open Communication in Nonlinear Mathematical Physics (OCNMP), Bad Ems, Germany, 23-29 June 2024 |
Abstract: | In the study of Lie algebras and their representation theory, an extension e of a Lie algebra g is an enlargement of g by another Lie algebra h. In particular, central extensions of Lie algebras and Lie superalgebras have been studied ex-tensively by many authors in this field. Recently the concept of relative central extension has been defined for a pair of Lie algebras and Lie superalgebras. In this work, we have shown the relation among the relative central extensions in an isoclinism family of a particular relative central extension. Here, at first we have defined the notion of isoclinism on the relative central extensions of a pair of Lie superalgebras. Then in particular, we have figured out the concept of isomorphism in the equivalence class of isoclinisms on the relative central extensions of a pair of Lie superalgebras. |
Description: | Copyright belongs to proceeding publisher |
URI: | http://hdl.handle.net/2080/4603 |
Appears in Collections: | Conference Papers |
Files in This Item:
File | Description | Size | Format | |
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2024_OCNMP_TKKhuntia_Isoclinism.pdf | Presentation | 407.73 kB | Adobe PDF | View/Open Request a copy |
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