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Jordan bialgebras of symmetric elements and Lie bialgebras

✍ Scribed by V. N. Zhelyabin

Book ID: 110620099
Publisher: SP MAIK Nauka/Interperiodica
Year: 1998
Tongue: English
Weight: 1002 KB
Volume: 39
Category: Article
ISSN: 0037-4466
DOI: 10.1007/bf02677510

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A self-dual class of Lie bialgebra structures (g, g \* ) on inhomogeneous Lie algebras g describing kinematical symmetries is considered. In that class, both g and g \* split into the semi-direct sums g = h v and g \* = h \* v \* with abelian ideals of translations v and h \* . We build the explicit