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Jordan subgroups and orthogonal decompositions

โœ Scribed by A. V. Borovik


Publisher
Springer US
Year
1989
Tongue
English
Weight
481 KB
Volume
28
Category
Article
ISSN
0002-5232

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The Jordan-Zassenhaus Theorem states that, if R is a Dedekind domain whose field Q of quotients is a global field, then for each R-order S in a semisimple algebra over Q, and for each positive integer n, there are only finitely many isomorphism classes of left S-lattices of rank โ‰คn. This result (whi

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We characterize the sets X of all products PQ , and Y of all products PQP, where P, Q run over all orthogonal projections and we solve the problems arg min{ P -Q : We also determine the polar decompositions and Moore-Penrose pseudoinverses of elements of X.