IJPAM: Volume 89, No. 1 (2013)
THE LAPLACIAN ON HOMOGENEOUS SPECIAL UNITARY
SPACES AND THE CORRESPONDING INVERSE
BRANCHING RULE
SPACES AND THE CORRESPONDING INVERSE
BRANCHING RULE
Liangzhong Hu
, José João Rossetto
Department of Mathematics
Federal University of Paraná
C.P. 019081, Curitiba, PR, 81531-990, BRAZIL



Federal University of Paraná
C.P. 019081, Curitiba, PR, 81531-990, BRAZIL
Abstract. The solution of the eigenvalue problem of the Laplacian with the normal metric induced by the Killing form on homogeneous special unitary spaces
is given. The corresponding inverse branching rule from
to
is obtained.
Received: September 1, 2013
AMS Subject Classification: 17B20, 22E46, 43A85, 81R05
Key Words and Phrases: Laplacian, homogeneous space, highest weight, branching rule
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DOI: 10.12732/ijpam.v89i1.12 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 89
Issue: 1