Baker–Campbell–Hausdorff relations for supergroups
- 1 May 1986
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 27 (5) , 1419-1429
- https://doi.org/10.1063/1.527101
Abstract
One-parameter subgroups, the exponential mapping, and canonical coordinates have previously been defined for connected supergroups. In this paper, a technique for obtaining analytical expressions linking different coordinate schemes for supergroups is presented. These are the Baker–Campbell–Hausdorff relations. The method is illustrated in detail with the examples of supergroups based on the supersymmetric quantum-mechanical superalgebra sqm (2) and on the Inönü–Wigner contraction isop(1/2) of the simple superalgebra osp(1/2).Keywords
This publication has 26 references indexed in Scilit:
- How different are the supermanifolds of Rogers and DeWitt?Communications in Mathematical Physics, 1985
- Evidence for a Phenomenological Supersymmetry in Atomic PhysicsPhysical Review Letters, 1984
- Relationship between supersymmetry and the inverse method in quantum mechanicsPhysics Letters B, 1984
- Supersymmetry breakdown in supersymmetric quantum mechanicsIl Nuovo Cimento A (1971-1996), 1984
- Supersymmetric quantum mechanicsAnnals of Physics, 1983
- Aspects of supersymmetric quantum mechanicsAnnals of Physics, 1983
- Super Lie groups: global topology and local structureJournal of Mathematical Physics, 1981
- Some examples of compact supermanifolds with non-Abelian fundamental groupJournal of Mathematical Physics, 1981
- The group with Grassmann structureUOSP(1.2)Communications in Mathematical Physics, 1981
- A global theory of supermanifoldsJournal of Mathematical Physics, 1980