Non-standard matrix formats of Lie superalgebras

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1142/S0217751X99001895

The standard format of matrices belonging to Lie superalgebras consists of
partitioning the matrices into even and odd blocks. In this paper, we study
other possible matrix formats and in particular the so-called diagonal format
which naturally occurs in various applications, e.g. in superconformal field
theory, superintegrable models, for super W-algebras and quantum supergroups.

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