Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Author: Korepanov, I.G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148082
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves / I.G. Korepanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 17 назв. — англ.

New algebraic relations are presented, involving anticommuting Grassmann variables and Berezin integral, and corresponding naturally to Pachner moves in three and four dimensions. These relations have been found experimentally – using symbolic computer calculations; their essential new feature is th...