On some cohomological properties of the Lie algebra of Euclidean motions
Mathematica Bohemica (2009)
- Volume: 134, Issue: 4, page 337-348
- ISSN: 0862-7959
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topBakšová, Marta, and Dekrét, Anton. "On some cohomological properties of the Lie algebra of Euclidean motions." Mathematica Bohemica 134.4 (2009): 337-348. <http://eudml.org/doc/38096>.
@article{Bakšová2009,
abstract = {The external derivative $d$ on differential manifolds inspires graded operators on complexes of spaces $\Lambda ^rg^\ast $, $\Lambda ^rg^\ast \otimes g$, $\Lambda ^rg^\ast \otimes g^\ast $ stated by $g^\ast $ dual to a Lie algebra $g$. Cohomological properties of these operators are studied in the case of the Lie algebra $g=se( 3 )$ of the Lie group of Euclidean motions.},
author = {Bakšová, Marta, Dekrét, Anton},
journal = {Mathematica Bohemica},
keywords = {Lie group; Lie algebra; dual space; twist; wrench; cohomology; Lie group; Lie algebra; dual space; twist; wrench; cohomology},
language = {eng},
number = {4},
pages = {337-348},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some cohomological properties of the Lie algebra of Euclidean motions},
url = {http://eudml.org/doc/38096},
volume = {134},
year = {2009},
}
TY - JOUR
AU - Bakšová, Marta
AU - Dekrét, Anton
TI - On some cohomological properties of the Lie algebra of Euclidean motions
JO - Mathematica Bohemica
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 134
IS - 4
SP - 337
EP - 348
AB - The external derivative $d$ on differential manifolds inspires graded operators on complexes of spaces $\Lambda ^rg^\ast $, $\Lambda ^rg^\ast \otimes g$, $\Lambda ^rg^\ast \otimes g^\ast $ stated by $g^\ast $ dual to a Lie algebra $g$. Cohomological properties of these operators are studied in the case of the Lie algebra $g=se( 3 )$ of the Lie group of Euclidean motions.
LA - eng
KW - Lie group; Lie algebra; dual space; twist; wrench; cohomology; Lie group; Lie algebra; dual space; twist; wrench; cohomology
UR - http://eudml.org/doc/38096
ER -
References
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