Square Integrable Representations of Semisimple Lie Groups
نویسندگان
چکیده
منابع مشابه
Representations of Semisimple Lie Groups
Let G be a Lie group and § a Banach space. A representation n of G on § is a mapping which assigns to every element x in G a bounded linear operator n(x) on § such that the following two conditions are fulfilled: (1) 7t(xy) = n(x) 7i(y) (x, y e G),n(l) = / and (2) the mapping (x, tp) ->uz(x)y) of G x § into § is continuous. (Here 1 is the unit element of G and I is the unit operator,) In partic...
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Fifty years ago, at the International Congress in Bologna, Hermann Weyl gave a report on representations of compact groups and, in particular, of compact Lie groups. Most of the important results had just been proved by him and by others, and at the time of his lecture, in 1928, the representation theory of compact Lie groups had become a very appealing subject. To a large extent, Weyl's theory...
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CNRS / Laboratoire de Météorologie Dynamique, École Normale Supérieure, Paris, France. Partially supported by a Projet Incitatif de Recherche contract from the Ecole Normale Supérieure de Paris. [email protected] Department of Mathematics, Imperial College London. London SW7 2AZ, UK. Partially supported by the European Research Council’s Advanced Grant 267382 FCCA. [email protected] Secti...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1974
ISSN: 0002-9947
DOI: 10.2307/1996950