Representation theory of sl(2|1)
High Energy Physics - Theory
2008-11-26 v2 Statistical Mechanics
Mathematical Physics
math.MP
Representation Theory
Abstract
In this note we present a complete analysis of finite dimensional representations of the Lie superalgebra sl(2|1). This includes, in particular, the decomposition of all tensor products into their indecomposable building blocks. Our derivation makes use of a close relation with the representation theory of gl(1|1) for which analogous results are described and derived.
Keywords
Cite
@article{arxiv.hep-th/0504234,
title = {Representation theory of sl(2|1)},
author = {Gerhard Gotz and Thomas Quella and Volker Schomerus},
journal= {arXiv preprint arXiv:hep-th/0504234},
year = {2008}
}
Comments
26pp, v2: minor typos corrected