In this paper, we compute the Leibniz homology of the Galilei algebra.
REFERENCES
1.
Biyogmam
, G. R.
, “On the Leibniz (co)homology of the Lie algebra of the Euclidean group
,” J. Pure Appl. Algebra
215
, 1889
–1901
(2011
).2.
Biyogmam
, G. R.
, “Leibniz homology of the affine indefinite orthogonal Lie algebra
,” preprint arXiv:1301.0659 (2013
).3.
4.
Bonanos
, S.
and Gomis
, J.
, “A note on the Chevalley-Eilenberg cohomology for the Galilei and Poincaré algebras
,” J. Phys. A: Math. Theor.
42
, 145
–206
(2009
).5.
Chevalley
, C.
and Eilenberg
, S.
, “Cohomology theory of Lie groups and Lie algebras
,” Trans. Am. Math. Soc.
63
(1
), 85
–124
(1948
).6.
De Azcárraga
, J. A.
and Izquierdo
, J. M.
, Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics
(Cambridge University Press
, Cambridge
, 1995
).7.
Hilton
, P. J.
and Stammbach
, U.
, A Course in Homological Algebra
(Springer-Verlag
, New York
, 1971
).8.
Kostrikin
, A. I.
and Manin
, I.
, Linear Algebra and Geometry, Algebra, Logic, and Applications
(Gordon and Breach Science Publishers
, New York
, 1989
), Vol. 1
.9.
Loday
, J.-L.
, Cyclic Homology
(Springer-Verlag
, Berlin, Heidelberg, New York
, 1992
).10.
Loday
, J.-L.
, “Künneth-style formula for the homology of Leibniz algebras
,” Math. Z.
221
, 41
–47
(1996
).11.
Lodder
, J. M.
, “Lie algebras of Hamiltonian vector fields and symplectic manifold
,” J. Lie Theory
18
(4
), 897
–914
(2008
).12.
Lodder
, J.
, “A structure theorem for Leibniz cohomology
,” J. Algebra
355
(1
), 93
–110
(2012
).13.
Pirashvili
, T.
, “On Leibniz homology
,” Ann. Inst. Fourrier
44
(2
), 401
–411
(1994
).© 2013 AIP Publishing LLC.
2013
AIP Publishing LLC
You do not currently have access to this content.