Pentagon Relations in Direct Sums and Grassmann Algebras

Symmetry Integrability and Geometry-Methods and Applications

article

Igor G. Korepanov¹  Nurlan M. Sadykov¹ 

[1] Moscow State University of Instrument Engineering and Computer Sciences

关键词: Pachner moves;    pentagon relations;    Grassmann algebras;   

DOI  :  10.3842/SIGMA.2013.030

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown