Super-tetrahedra and super-algebras
Exactly Solvable and Integrable Systems
2015-05-13 v1
Abstract
In this paper we give a detailed classification scheme for three-dimensional quantum zero curvature representation and tetrahedron equations. This scheme includes both even and odd parity components, the resulting algebras of observables are either Bose q-oscillators or Fermi oscillators. Three-dimensional -matrices intertwining variously oriented tensor products of Bose and Fermi oscillators and satisfying tetrahedron and super-tetrahedron equations are derived. The 3d->2d compactification reproduces U_q(gl(n|m)) super-algebras and their representation theory.
Cite
@article{arxiv.0805.4653,
title = {Super-tetrahedra and super-algebras},
author = {S. M. Sergeev},
journal= {arXiv preprint arXiv:0805.4653},
year = {2015}
}
Comments
LaTeX, 27 pages