1212.4462 (Igor Korepanov et al.)

Pentagon relations in direct sums and Grassmann algebras    [PDF]

Igor Korepanov, Nurlan Sadykov

We construct vast families of orthogonal operators obeying pentagon relation in a direct sum of three n-dimensional linear spaces. As a consequence, we obtain pentagon relations in Grassmann algebras, making a far reaching generalization of exotic Reidemeister torsions.

View original: http://arxiv.org/abs/1212.4462