Generating functions for the osp(1|2) Clebsch-Gordan coefficients
Geoffroy Bergeron, Luc Vinet
TL;DR
This paper derives generating functions for osp(1|2) Clebsch-Gordan coefficients, linking them to dual q-Hahn polynomials through two different mathematical approaches.
Contribution
It introduces new generating functions for osp(1|2) Clebsch-Gordan coefficients using coherent-state and position representations.
Findings
Generating functions expressed as q to -1 limits of dual q-Hahn polynomials
Two distinct derivation methods provided
Enhanced understanding of osp(1|2) representation theory
Abstract
Generating functions for Clebsch-Gordan coefficients of osp(1|2) are derived. These coefficients are expressed as q goes to - 1 limits of the dual q-Hahn polynomials. The generating functions are obtained using two different approaches respectively based on the coherent-state representation and the position representation of osp(1j2).
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.