# On the definition of the dual Lie coalgebra of a Lie algebra.

Publicacions Matemàtiques (1995)

- Volume: 39, Issue: 2, page 349-354
- ISSN: 0214-1493

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topDiarra, Bertin. "On the definition of the dual Lie coalgebra of a Lie algebra.." Publicacions Matemàtiques 39.2 (1995): 349-354. <http://eudml.org/doc/41231>.

@article{Diarra1995,

abstract = {Let L be a Lie algebra over a field K. The dual Lie coalgebra Lº of L has been defined by W. Michaelis to be the sum of all good subspaces V of the dual space L* of L: V is good if tm(V) ⊂ V ⊗ V, where m is the multiplication of L. We show that Lº = tm-1(L* ⊗ L*) as in the associative case.},

author = {Diarra, Bertin},

journal = {Publicacions Matemàtiques},

keywords = {Algebra de Lie; Espacio dual; multiplication maps; continuous dual coalgebras; Lie algebras; continuous dual Lie coalgebras},

language = {eng},

number = {2},

pages = {349-354},

title = {On the definition of the dual Lie coalgebra of a Lie algebra.},

url = {http://eudml.org/doc/41231},

volume = {39},

year = {1995},

}

TY - JOUR

AU - Diarra, Bertin

TI - On the definition of the dual Lie coalgebra of a Lie algebra.

JO - Publicacions Matemàtiques

PY - 1995

VL - 39

IS - 2

SP - 349

EP - 354

AB - Let L be a Lie algebra over a field K. The dual Lie coalgebra Lº of L has been defined by W. Michaelis to be the sum of all good subspaces V of the dual space L* of L: V is good if tm(V) ⊂ V ⊗ V, where m is the multiplication of L. We show that Lº = tm-1(L* ⊗ L*) as in the associative case.

LA - eng

KW - Algebra de Lie; Espacio dual; multiplication maps; continuous dual coalgebras; Lie algebras; continuous dual Lie coalgebras

UR - http://eudml.org/doc/41231

ER -

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