Differential Calculi on $${\mathbb {Z}}_3$$ Z 3 -Graded Grassmann Plane

Differential Calculi on $${\mathbb {Z}}_3$$ Z 3 -Graded Grassmann Plane Covariant differential calculi on the $${\mathbb {Z}}_3$$ Z 3 -graded Grassmann plane are presented. Using the generators and their partial derivatives a Grassmann–Heisenberg algebra is constructed. An R-matrix which satisfies graded Yang–Baxter equation is obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Applied Clifford Algebras Springer Journals

Differential Calculi on $${\mathbb {Z}}_3$$ Z 3 -Graded Grassmann Plane

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by Springer International Publishing
Subject
Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Applications of Mathematics; Physics, general
ISSN
0188-7009
eISSN
1661-4909
D.O.I.
10.1007/s00006-016-0754-y
Publisher site
See Article on Publisher Site

Abstract

Covariant differential calculi on the $${\mathbb {Z}}_3$$ Z 3 -graded Grassmann plane are presented. Using the generators and their partial derivatives a Grassmann–Heisenberg algebra is constructed. An R-matrix which satisfies graded Yang–Baxter equation is obtained.

Journal

Advances in Applied Clifford AlgebrasSpringer Journals

Published: Jan 6, 2017

References

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