A Compact Formula for Rotations as Spin Matrix Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• ISSN: 1815-0659
• Main Authors: Curtright, T.L., Fairlie, D.B., Zachos, C.K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146616
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Compact Formula for Rotations as Spin Matrix Polynomials / T.L. Curtright, D.B.Fairlie, C.K. Zachos // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 17 назв. — англ.

Group elements of SU(2) are expressed in closed form as finite polynomials of the Lie algebra generators, for all definite spin representations of the rotation group. The simple explicit result exhibits connections between group theory, combinatorics, and Fourier analysis, especially in the large sp...