Selected topics of the theory of orthogonal decomposition of associative algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 187-197
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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.
@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},
publisher = {mathdoc},
volume = {4},
number = {1},
year = {1998},
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 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a15/ LA - ru ID - FPM_1998_4_1_a15 ER -
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/