Matematičeskie trudy, Tome 3 (2000) no. 1, pp. 38-47
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V. N. Zhelyabin. Jordan D-Bialgebras and Symplectic Forms on Jordan Algebras. Matematičeskie trudy, Tome 3 (2000) no. 1, pp. 38-47. http://geodesic.mathdoc.fr/item/MT_2000_3_1_a1/
@article{MT_2000_3_1_a1,
author = {V. N. Zhelyabin},
title = {Jordan {D-Bialgebras} and {Symplectic} {Forms} on {Jordan} {Algebras}},
journal = {Matemati\v{c}eskie trudy},
pages = {38--47},
year = {2000},
volume = {3},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MT_2000_3_1_a1/}
}
TY - JOUR
AU - V. N. Zhelyabin
TI - Jordan D-Bialgebras and Symplectic Forms on Jordan Algebras
JO - Matematičeskie trudy
PY - 2000
SP - 38
EP - 47
VL - 3
IS - 1
UR - http://geodesic.mathdoc.fr/item/MT_2000_3_1_a1/
LA - ru
ID - MT_2000_3_1_a1
ER -
%0 Journal Article
%A V. N. Zhelyabin
%T Jordan D-Bialgebras and Symplectic Forms on Jordan Algebras
%J Matematičeskie trudy
%D 2000
%P 38-47
%V 3
%N 1
%U http://geodesic.mathdoc.fr/item/MT_2000_3_1_a1/
%G ru
%F MT_2000_3_1_a1
It is shown that a symplectic structure determined on a Jordan algebra induces a symplectic structure on the adjoint Lie KKT-algebra. It is proven that Jordan bialgebras of some type defined on semisimple finite-dimensional Jordan algebras are triangular Jordan bialgebras.
