Pentagon Relations in Direct Sums and Grassmann Algebras
Korepanov, Igor G. · Sadykov, Nurlan M.
Original · EN
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.
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