Abstract
All topologically irreducible representations involved in the tensor product of finite and infinite dimensional representations of the Principal nonunitary series (including the unitary series) of a semisimple Lie group are defined.
Similar content being viewed by others
References
KlimykA.U.,Reports on Math. Phys. 7, 2 (1975).
KlimykA.U.,Mathematical Notes 16, 731 (1974) (in Russian).
WarnerG.,Harmonic Analysis on Semisimple Lie Groups, Vol. I & II, Springer, Berlin & New York, 1972.
LipsmanR.L.,Trans. Am. Math. Soc. 152, 399 (1970).
WallachN.R.,Trans. Am. Math. Soc. 164, 389 (1972).
Harish-Chandra,Trans. Am. Math. Soc. 76, 234 (1954).
Klimyk, A.U., Preprint ITP-74-72E, Kiev (1974).
KostantB.,J. Funct. Anal. 20, 257 (1975).
Author information
Authors and Affiliations
Additional information
Manuscript registered at the All-Union Copyright Agency (Moscow, U.S.S.R.).
Rights and permissions
About this article
Cite this article
Klimyk, A.U. On the tensor product of representations of semisimple Lie groups. Lett Math Phys 1, 375–377 (1977). https://doi.org/10.1007/BF01793950
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01793950