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POISSON AND FOURIER TRANSFORMS FOR TENSOR PRODUCTS OF REPRESENTATIONS OF THE SECOND ORDER MATRIX GROUP

Annotation

We compute explicitly intertwining operators that decompose tensor products of irreducible finite-dimensional representations of the group SL(2,R) into irreducible constituents. These operators turn out to be differential operators. We use another method in comparison with previous papers.

Keywords

Lie groups and Lie algebras; representations of Lie groups; tensor products; intertwining operators

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UDC

517.98

Pages

1317-1325

References

1. Molchanov V.F. Preobrazovanija Puassona dlja tenzornyh proizvedenij predstavlenij gruppy matric vtorogo porjadka // Vestnik Tambovskogo universiteta. Serija Estestvennye i tehnicheskie nauki. Tambov, 2013. T. 18. Vyp. 5. S. 2613–2616. 2. Molchanov V.F., Sarycheva E.V. O tenzornyh proizvedenijah predstavlenij gruppy matric vtorogo porjadka // Vestnik Tambovskogo universiteta. Serija Estestvennye i tehnicheskie nauki. Tambov, 2013. T. 18. Vyp. 1. S. 120–124.

Received

2015-05-16

Section of issue

Scientific articles

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