FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 1, PAGES 187-197

Selected topics of the theory of orthogonal decomposition of associative algebras

D. N. Ivanov

Abstract

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The notion of orthogonal decomposition of associative algebra envelopes such well-known themes as finite affine planes, Hadamard matrices, finite groups with partition, orthogonal decompositions of simple Lie algebras of type $A$_n into the sum of Cartan subalgebras. Some new problems and results concerning this notion are introduced.

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Last modified: April 8, 1998