Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 187-197
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D. N. Ivanov. Selected topics of the theory of orthogonal decomposition of associative algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 187-197. http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a15/
@article{FPM_1998_4_1_a15,
author = {D. N. Ivanov},
title = {Selected topics of the theory of orthogonal decomposition of associative algebras},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {187--197},
year = {1998},
volume = {4},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a15/}
}
TY - JOUR
AU - D. N. Ivanov
TI - Selected topics of the theory of orthogonal decomposition of associative algebras
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 187
EP - 197
VL - 4
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a15/
LA - ru
ID - FPM_1998_4_1_a15
ER -
%0 Journal Article
%A D. N. Ivanov
%T Selected topics of the theory of orthogonal decomposition of associative algebras
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 187-197
%V 4
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a15/
%G ru
%F FPM_1998_4_1_a15
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.