Affiliation:
1. Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw ul. Pasteura 5, 02-093 Warszawa, Poland
Abstract
We propose a specific class of matrices that participate in factorization problems that turn out to be equivalent to constant and entwining (non-constant) pentagon, reverse-pentagon or Yang–Baxter maps, expressed in non-commutative variables. In detail, we show that factorizations of order
N
=
2
matrices of this specific class are equivalent to the
homogeneous normalization map
. From order
N
=
3
matrices, we obtain an extension of the homogeneous normalization map, as well as novel entwining pentagon, reverse-pentagon and Yang–Baxter maps.
Funder
Narodowe Centrum Nauki
European Union Framework Programme for Research and Innovation Horizon 2020 under the Marie Sklodowska-Curie
London Mathematical Society
Subject
General Physics and Astronomy,General Engineering,General Mathematics