Pentagon Relations in Direct Sums and Grassmann Algebras

Autor: Igor G. Korepanov, Nurlan M. Sadykov
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Symmetry, Integrability and Geometry: Methods and Applications, Vol 9, p 030 (2013)
Druh dokumentu: article
ISSN: 1815-0659
DOI: 10.3842/SIGMA.2013.030
Popis: 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.
Databáze: Directory of Open Access Journals