%0 Journal Article
%T Pentagon Relations in Direct Sums and Grassmann Algebras
%A Igor G. Korepanov
%A Nurlan M. Sadykov
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2013
%I National Academy of Science of Ukraine
%X We construct vast families of orthogonal operators obeying pentagon relation in a direct sum of three n-dimensional vector spaces. As a consequence, we obtain pentagon relations in Grassmann algebras, making a far reaching generalization of exotic Reidemeister torsions.
%K Pachner moves
%K pentagon relations
%K Grassmann algebras
%U http://dx.doi.org/10.3842/SIGMA.2013.030