ABSTRACT
Orthogonal decomposition of the special linear Lie algebra over the complex numbers was studied in the early 1980s and attracted further attentions in the past decade due to its application in quantum information theory. In this paper, we study this decomposition problem of the special linear Lie algebra over a finite commutative ring with identity.
AMS SUBJECT CLASSIFICATIONS:
Acknowledgements
The authors would like to thank the referee for the constructive comments that lead to the improvement of this paper.
Notes
No potential conflict of interest was reported by the authors.