Characteristic identities for Lie (super)algebras

30th International Colloquium on Group Theoretical Methods in Physics

Isaac, Phillip S.^1 ; Werry, Jason L.^1 ; Gould, Mark D.^1

School of Mathematics and Physics, University of Queensland, St Lucia

QLD

4072, Australia^1

关键词: Finite dimensional;    Lie Algebra;    Lie superalgebras;    Matrix elements;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012045/pdf
DOI  :  10.1088/1742-6596/597/1/012045

来源: IOP

【 摘 要 】

We present an overview of characteristic identities for Lie algebras and superalgebras. We outline methods that employ these characteristic identities to deduce matrix elements of finite dimensional representations. To demonstrate the theory, we look at the examples of the general linear Lie algebras and Lie superalgebras.