We determine the correspondence of infinitesimal characters of representations which occur in Howe's Duality Theorem. In the appendix we identify the lowest K-types, in the sense of Vogan, of the unitary highest weight representations of real reductive dual pairs with at least one member compact.
@article{bwmeta1.element.bwnjournal-article-cmv70i1p93bwm,
author = {Tomasz Przebinda},
title = {The duality correspondence of infinitesimal characters},
journal = {Colloquium Mathematicae},
volume = {70},
year = {1996},
pages = {93-102},
zbl = {0854.22017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv70i1p93bwm}
}
Przebinda, Tomasz. The duality correspondence of infinitesimal characters. Colloquium Mathematicae, Tome 70 (1996) pp. 93-102. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv70i1p93bwm/
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