Non-standard matrix formats of Lie superalgebras
Mathematical Physics
2009-10-31 v1 High Energy Physics - Theory
Group Theory
math.MP
Quantum Algebra
Representation Theory
Exactly Solvable and Integrable Systems
solv-int
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/9901017,
title = {Non-standard matrix formats of Lie superalgebras},
author = {F. Delduc and F. Gieres and S. Gourmelen and S. Theisen},
journal= {arXiv preprint arXiv:math-ph/9901017},
year = {2009}
}