On a multiplicity formula of weights of representations of and reciprocity theorems for symplectic groups
Authors:
Eric Y. Leung and Tuong TonThat
Journal:
Proc. Amer. Math. Soc. 123 (1995), 12811288
MSC:
Primary 22E46; Secondary 22E45
MathSciNet review:
1227520
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Abstract: A formula relating the multiplicity of a weight of a holomorphic discrete series of the group to the frequency of occurrence of an irreducible holomorphically induced representation of the group in an nfold tensor product of irreducible symmetric representations of is given. Reciprocity theorems relating holomorphic discrete series of (resp. ) to holomorphically induced representations of (resp. ) are also derived.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939199512275202
PII:
S 00029939(1995)12275202
Keywords:
Weights of representations,
reciprocity theorems,
holomorphic discrete series,
holomorphically induced representations,
dual pairs
Article copyright:
© Copyright 1995
American Mathematical Society
