Subjects -> MATHEMATICS (Total: 1013 journals)     - APPLIED MATHEMATICS (92 journals)    - GEOMETRY AND TOPOLOGY (23 journals)    - MATHEMATICS (714 journals)    - MATHEMATICS (GENERAL) (45 journals)    - NUMERICAL ANALYSIS (26 journals)    - PROBABILITIES AND MATH STATISTICS (113 journals) MATHEMATICS (714 journals)            First | 1 2 3 4
 Showing 401 - 538 of 538 Journals sorted alphabetically Journal of Mathematical and Fundamental Sciences Journal of Mathematical Behavior       (Followers: 6) Journal of Mathematical Chemistry       (Followers: 5) Journal of Mathematical Finance       (Followers: 6) Journal of Mathematical Imaging and Vision       (Followers: 6) Journal of Mathematical Logic       (Followers: 2) Journal of Mathematical Sciences Journal of Mathematical Sciences and Applications       (Followers: 2) Journal of Mathematical Sociology       (Followers: 3) Journal of Mathematics Journal of Mathematics and Statistics       (Followers: 6) Journal of Mathematics and Statistics Studies Journal of Mathematics and the Arts       (Followers: 1) Journal of Mathematics Education at Teachers College       (Followers: 4) Journal of Mathematics in Industry Journal of Mathematics Research Journal of Metallurgy       (Followers: 8) Journal of Modern Mathematics Frontier Journal of Multidisciplinary Modeling and 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 Mathematical CommunicationsNumber of Followers: 0     Open Access journal ISSN (Print) 1331-0623 - ISSN (Online) 1848-8013 Published by Josip Juraj Strossmayer University of Osijek  [3 journals]
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PubDate: 2022-04-15
Issue No: Vol. 27, No. 1 (2022)

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Abstract: The structure of the algebra of $K-$invariants in $\cU(\gg)\otim C(\pp)$ is important for constructing $(\gg,K)-$modules by means of algebraic Dirac induction as developed in [5] and its variants in [8] and [10]. We show that for the groups $\SU(n,1)$ and $\SO_e(n,1)$ this algebra is a free $\cU(\gg)^K-$module of rank $\dim C(\pp)=2^{\dim\pp}.$ We also indicate a way of constructing a $\cU(\gg)^K-$basis in $(\cU(\gg)\otim C(\pp))^K.$
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