Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 1, pp. 1-15
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V. I. Arnol'd. Pseudoquaternion Geometry. Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 1, pp. 1-15. http://geodesic.mathdoc.fr/item/FAA_2002_36_1_a0/
@article{FAA_2002_36_1_a0,
author = {V. I. Arnol'd},
title = {Pseudoquaternion {Geometry}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {1--15},
year = {2002},
volume = {36},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2002_36_1_a0/}
}
TY - JOUR
AU - V. I. Arnol'd
TI - Pseudoquaternion Geometry
JO - Funkcionalʹnyj analiz i ego priloženiâ
PY - 2002
SP - 1
EP - 15
VL - 36
IS - 1
UR - http://geodesic.mathdoc.fr/item/FAA_2002_36_1_a0/
LA - ru
ID - FAA_2002_36_1_a0
ER -
%0 Journal Article
%A V. I. Arnol'd
%T Pseudoquaternion Geometry
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2002
%P 1-15
%V 36
%N 1
%U http://geodesic.mathdoc.fr/item/FAA_2002_36_1_a0/
%G ru
%F FAA_2002_36_1_a0
We describe complex holomorphic transformations of a quaternion vector space taking left quaternion lines to left quaternion lines and real linear transformations of the quaternion plane simultaneously preserving the sets of left and right quaternion lines.
