Supermatrix Representations of Semigroup Bands
funct-an
2008-02-03 v1 alg-geom
dg-ga
High Energy Physics - Theory
Algebraic Geometry
Functional Analysis
Quantum Algebra
q-alg
Abstract
Various semigroups of noninvertible supermatrices of the special (antitriangle) shape having nilpotent Berezinian which appear in supersymmetric theories are defined and investigated. A subset of them continuously represents left and right zero semigroups and rectangular bands. The ideal properties of higher order rectangular band analogs and the ``wreath'' version of them are studied in detail. We introduce the ``fine'' equivalence relations leading to ``multidimesional'' eggbox diagrams. They are full images of Green's relations on corresponding subsemigroups.
Cite
@article{arxiv.funct-an/9609002,
title = {Supermatrix Representations of Semigroup Bands},
author = {Steven Duplij},
journal= {arXiv preprint arXiv:funct-an/9609002},
year = {2008}
}
Comments
27 pages, Standard LaTeX with AmS fonts