A Howe correspondence for the algebra of the osp (1 | 2) Clebsch-Gordan coefficients
Abstract
Two descriptions of the dual -1 Hahn algebra are presented and shown to be related under Howe duality. The dual pair involved is formed by the Lie algebra o (4) and the Lie superalgebra osp (1 | 2).
- Publication:
-
Physics Letters A
- Pub Date:
- October 2020
- DOI:
- 10.1016/j.physleta.2020.126746
- arXiv:
- arXiv:2004.00109
- Bibcode:
- 2020PhLA..38426746G
- Keywords:
-
- Howe duality;
- Dual -1 Hahn algebra;
- Schwinger-Dunkl algebra;
- Spinor representation;
- Oscillators;
- Mathematics - Quantum Algebra;
- Mathematical Physics;
- 20C35;
- 33C47;
- 33C80
- E-Print:
- 12 pages