Remarks on local Lie algebras of pairs of functions

Josef Janyška

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 3, page 687-709
  • ISSN: 0011-4642

Abstract

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Starting by the famous paper by Kirillov, local Lie algebras of functions over smooth manifolds were studied very intensively by mathematicians and physicists. In the present paper we study local Lie algebras of pairs of functions which generate infinitesimal symmetries of almost-cosymplectic-contact structures of odd dimensional manifolds.

How to cite

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Janyška, Josef. "Remarks on local Lie algebras of pairs of functions." Czechoslovak Mathematical Journal 68.3 (2018): 687-709. <http://eudml.org/doc/294526>.

@article{Janyška2018,
abstract = {Starting by the famous paper by Kirillov, local Lie algebras of functions over smooth manifolds were studied very intensively by mathematicians and physicists. In the present paper we study local Lie algebras of pairs of functions which generate infinitesimal symmetries of almost-cosymplectic-contact structures of odd dimensional manifolds.},
author = {Janyška, Josef},
journal = {Czechoslovak Mathematical Journal},
keywords = {almost-cosymplectic-contact structure; almost-coPoisson-Jacobi structure; infinitesimal symmetry; local Lie algebra},
language = {eng},
number = {3},
pages = {687-709},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Remarks on local Lie algebras of pairs of functions},
url = {http://eudml.org/doc/294526},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Janyška, Josef
TI - Remarks on local Lie algebras of pairs of functions
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 3
SP - 687
EP - 709
AB - Starting by the famous paper by Kirillov, local Lie algebras of functions over smooth manifolds were studied very intensively by mathematicians and physicists. In the present paper we study local Lie algebras of pairs of functions which generate infinitesimal symmetries of almost-cosymplectic-contact structures of odd dimensional manifolds.
LA - eng
KW - almost-cosymplectic-contact structure; almost-coPoisson-Jacobi structure; infinitesimal symmetry; local Lie algebra
UR - http://eudml.org/doc/294526
ER -

References

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