Tensor products of principal series for the De Sitter group
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- by Robert P. Martin PDF
- Trans. Amer. Math. Soc. 265 (1981), 121-135 Request permission
Abstract:
The decomposition of the tensor product of two principal series representations is determined for the simply connected double covering, $G = {\text {Spin}}(4,1)$, of the DeSitter group. The main result is that this decomposition consists of two pieces, ${T_c}$ and ${T_d}$, where ${T_c}$ is a continuous direct sum with respect to Plancherel measure on $\hat G$ of representations from the principal series only and ${T_d}$ is a discrete sum of representations from the discrete series of $G$. The multiplicities of representations occurring in ${T_c}$ and ${T_d}$ are all finite.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 265 (1981), 121-135
- MSC: Primary 22E43; Secondary 22E45, 81C40
- DOI: https://doi.org/10.1090/S0002-9947-1981-0607111-9
- MathSciNet review: 607111