Cohomology of lie algebras and foliations

2006 ◽  
pp. 1-12 ◽  
Author(s):  
André Haefliger
Keyword(s):  
Lie Algebras ◽  
Cohomology Of Lie Algebras

Cohomology of Lie Algebras and its Application

2020 ◽  
pp. 135-160
Author(s):  
Morikuni Goto ◽  
Frank D. Grosshans
Keyword(s):  
Lie Algebras ◽  
Cohomology Of Lie Algebras

scholarly journals On cohomology of Lie algebras

1957 ◽  
Vol 8 (6) ◽  
pp. 1010-1010 ◽  
Author(s):  
George F. Leger
Keyword(s):  
Lie Algebras ◽  
Cohomology Of Lie Algebras

scholarly journals Cohomology of Lie algebras over a manifold, I

1974 ◽  
Vol 26 (2) ◽  
pp. 324-361 ◽  
Author(s):  
Koji SHIGA
Keyword(s):  
Lie Algebras ◽  
Cohomology Of Lie Algebras

scholarly journals PROJECTIVE AND CONFORMAL SCHWARZIAN DERIVATIVES AND COHOMOLOGY OF LIE ALGEBRAS VECTOR FIELDS RELATED TO DIFFERENTIAL OPERATORS

2006 ◽  
Vol 03 (04) ◽  
pp. 667-696 ◽  
Author(s):  
SOFIANE BOUARROUDJ
Keyword(s):  
Lie Algebras ◽  
Cohomology Group ◽  
Vector Fields ◽  
Differential Operators ◽  
Projective Manifold ◽  
Conformal Class ◽  
Tensor Fields ◽  
Relative Cohomology ◽  
Schwarzian Derivatives ◽  
Cohomology Of Lie Algebras

Let M be either a projective manifold (M, Π) or a pseudo-Riemannian manifold (M, g). We extend, intrinsically, the projective/conformal Schwarzian derivatives we have introduced recently, to the space of differential operators acting on symmetric contravariant tensor fields of any degree on M. As operators, we show that the projective/conformal Schwarzian derivatives depend only on the projective connection Π and the conformal class of the metric [g], respectively. Furthermore, we compute the first cohomology group of Vect(M) with coefficients in the space of symmetric contravariant tensor fields valued in the space of δ-densities, and we compute the corresponding sl(n + 1, ℝ)-relative cohomology group.

A DUALITY THEOREM FOR THE COHOMOLOGY OF LIE ALGEBRAS

1970 ◽  
Vol 12 (4) ◽  
pp. 638-644 ◽  
Author(s):  
Michiel Hazewinkel
Keyword(s):  
Lie Algebras ◽  
Duality Theorem ◽  
Cohomology Of Lie Algebras

scholarly journals Cohomology of Lie Algebras over a Manifold

1973 ◽  
Vol 49 (1) ◽  
pp. 69-72
Author(s):  
Koji SHIGA
Keyword(s):  
Lie Algebras ◽  
Cohomology Of Lie Algebras
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