Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2011), pp. 46-48
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D. N. Ivanov. Hadamard algebras possessing the unique noncommutative simple component. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2011), pp. 46-48. http://geodesic.mathdoc.fr/item/VMUMM_2011_5_a8/
@article{VMUMM_2011_5_a8,
author = {D. N. Ivanov},
title = {Hadamard algebras possessing the unique noncommutative simple component},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {46--48},
year = {2011},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_5_a8/}
}
TY - JOUR
AU - D. N. Ivanov
TI - Hadamard algebras possessing the unique noncommutative simple component
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2011
SP - 46
EP - 48
IS - 5
UR - http://geodesic.mathdoc.fr/item/VMUMM_2011_5_a8/
LA - ru
ID - VMUMM_2011_5_a8
ER -
%0 Journal Article
%A D. N. Ivanov
%T Hadamard algebras possessing the unique noncommutative simple component
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2011
%P 46-48
%N 5
%U http://geodesic.mathdoc.fr/item/VMUMM_2011_5_a8/
%G ru
%F VMUMM_2011_5_a8
The famous conjecture on the orders of Hadamard matrices may be reformulated as follows: a commutative algebra is Hadamard if and only if its dimension is divisible by $4$. This paper investigates the Hadamard algebras closed to commutative ones, namely, the algebras possessing the unique noncommutative simple component — the matrix algebra of order $2$.
