FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

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