Commutant structuture of Ux...xUxU* transformations
Quantum Physics
2013-09-09 v2 Mathematical Physics
math.MP
Representation Theory
Abstract
In this paper we have found irreducible representations (irreps) of the algebra of partially transposed permutation operators on last subsystem. We give here direct method of irreps construction for an arbitrary number of subsystems n and local dimension d. Our method is inspired by representation theory of symmetric group S(n), theory of Brauer Algebras and Walled Brauer Algebras.
Keywords
Cite
@article{arxiv.1305.6183,
title = {Commutant structuture of Ux...xUxU* transformations},
author = {Michał Studziński and Michał Horodecki and Marek Mozrzymas},
journal= {arXiv preprint arXiv:1305.6183},
year = {2013}
}
Comments
26 pages, 1 figure