Dictionary on Lie Superalgebras
L. Frappat, A. Sciarrino, P. Sorba

TL;DR
This paper provides an accessible, dictionary-style overview of Lie superalgebras, covering their structure, representations, and supersymmetry, aimed at both beginners and experienced researchers.
Contribution
It offers a concise, easy-to-use reference on Lie superalgebras, summarizing key concepts and tools in a dictionary format for diverse audiences.
Findings
Clear definitions of Lie superalgebras and their properties
Summary of simple Lie superalgebras and their finite-dimensional representations
Introduction to supersymmetry concepts related to superalgebras
Abstract
The main definitions and properties of Lie superalgebras are proposed a la facon de a short dictionary, the different items following the alphabetical order. The main topics deal with the structure of simple Lie superalgebras and their finite dimensional representations; rather naturally, a few pages are devoted to supersymmetry. This modest booklet has two ambitious goals: to be elementary and easy to use. The beginner is supposed to find out here the main concepts on superalgebras, while a more experimented theorist should recognize the necessary tools and informations for a specific use.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons
