Supermatrix Representations of Semigroup Bands
funct-an
2008-02-03 v1 alg-geom
dg-ga
高能物理 - 理论
代数几何
泛函分析
量子代数
q-alg
摘要
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.
引用
@article{arxiv.funct-an/9609002,
title = {Supermatrix Representations of Semigroup Bands},
author = {Steven Duplij},
journal= {arXiv preprint arXiv:funct-an/9609002},
year = {2008}
}
备注
27 pages, Standard LaTeX with AmS fonts