On the Kronecker products of irreducible representations of the 2×2 real unimodular group. I

On the Kronecker products of irreducible representations of the $2\times 2$ real unimodular group. I
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Trans. Amer. Math. Soc. 100 (1961), 116-152

DOI: https://doi.org/10.1090/S0002-9947-1961-0172962-1

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References

V. Bargmann, Irreducible unitary representations of the Lorentz group, Ann. of Math. (2) 48 (1947), 568–640. MR 21942, DOI 10.2307/1969129

An introduction to the theory of functions of a complex variable

I. M. Gel′fand and M. A. Naĭmark, Unitary representations of the Lorentz group, Izv. Akad. Nauk SSSR Ser. Mat. 11 (1947), 411–504 (Russian). MR 0024440
George W. Mackey, Induced representations of locally compact groups. I, Ann. of Math. (2) 55 (1952), 101–139. MR 44536, DOI 10.2307/1969423

Induced representations of locally compact groups

F. I. Mautner, Unitary representations of locally compact groups. II, Ann. of Math. (2) 52 (1950), 528–556. MR 36763, DOI 10.2307/1969431
F. I. Mautner, On the decomposition of unitary representations of Lie groups, Proc. Amer. Math. Soc. 2 (1951), 490–496. MR 41856, DOI 10.1090/S0002-9939-1951-0041856-3
F. J. Murray and J. Von Neumann, On rings of operators, Ann. of Math. (2) 37 (1936), no. 1, 116–229. MR 1503275, DOI 10.2307/1968693
John von Neumann, On rings of operators. Reduction theory, Ann. of Math. (2) 50 (1949), 401–485. MR 29101, DOI 10.2307/1969463
M. A. Naĭmark, Decomposition of a tensor product of irreducible representations of the proper Lorentz group into irreducible representations. I. The case of a tensor product of representations of the fundamental series, Trudy Moskov. Mat. Obšč. 8 (1959), 121–153 (Russian). MR 0114139
I. E. Segal, A class of operator algebras which are determined by groups, Duke Math. J. 18 (1951), 221–265. MR 45133, DOI 10.1215/S0012-7094-51-01817-0
I. E. Segal, Hypermaximality of certain operators on Lie groups, Proc. Amer. Math. Soc. 3 (1952), 13–15. MR 51240, DOI 10.1090/S0002-9939-1952-0051240-5
E. C. Titchmarsh, Eigenfunction Expansions Associated with Second-Order Differential Equations, Oxford, at the Clarendon Press, 1946 (German). MR 0019765