Geodesic
On a generalization of the quaternion algebra
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 1, Tome 220 (2023), pp. 33-37

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we consider a generalization of quaternion algebras and hypercomplex Clifford algebras over the field of complex numbers in which the $m$th power of a vector of the underlying space is the sum of the $m$th powers of the coordinates of this vector.
Mots-clés : quaternions, group algebras
Keywords: Clifford algebras, cyclic algebras, doubling procedure. 
@article{INTO_2023_220_a3,
     author = {I. M. Burlakov},
     title = {On a generalization of the quaternion algebra},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {33--37},
     publisher = {mathdoc},
     volume = {220},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_220_a3/}
}
TY  - JOUR
AU  - I. M. Burlakov
TI  - On a generalization of the quaternion algebra
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2023
SP  - 33
EP  - 37
VL  - 220
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2023_220_a3/
LA  - ru
ID  - INTO_2023_220_a3
ER  - 
%0 Journal Article
%A I. M. Burlakov
%T On a generalization of the quaternion algebra
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2023
%P 33-37
%V 220
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2023_220_a3/
%G ru
%F INTO_2023_220_a3
I. M. Burlakov. On a generalization of the quaternion algebra. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 1, Tome 220 (2023), pp. 33-37. http://geodesic.mathdoc.fr/item/INTO_2023_220_a3/