Symmetries of spherical harmonics
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- by Roberto De Maria Nunes Mendes PDF
- Trans. Amer. Math. Soc. 204 (1975), 161-178 Request permission
Abstract:
Let $G$ be a group of linear transformations of ${R^n}$ and ${H_k}(G)$ the vector space of spherical harmonics invariant under $G$. The Pálya function is the formal power series ${\Sigma _{k \geq 0}}{t^k}\dim {H_k}(G)$. In this paper, after classifying all closed subgroups of $O(4)$, we compute the Pólya functions for these groups. These functions have recently proved to be of interest in quantum mechanics and elementary particle physics.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 204 (1975), 161-178
- MSC: Primary 22E30; Secondary 43A90
- DOI: https://doi.org/10.1090/S0002-9947-1975-0357687-1
- MathSciNet review: 0357687