Irreducible representations of Lie superalgebras of vector fields and invariant differential operators

1982 ◽  
Vol 16 (1) ◽  
pp. 62-64
Author(s):  
D. A. Leites
Keyword(s):  
Vector Fields ◽  
Differential Operators ◽  
Lie Superalgebras ◽  
Irreducible Representations ◽  
Invariant Differential Operators ◽  
Invariant Differential

THE LINEAR $\mathfrak{aff}(n|1)$-INVARIANT DIFFERENTIAL OPERATORS ON WEIGHTED DENSITIES ON THE SUPERSPACE ℝ1|n AND $\mathfrak{aff}(n|1)$-RELATIVE COHOMOLOGY

2013 ◽  
Vol 10 (04) ◽  
pp. 1320004 ◽  
Author(s):  
IMED BASDOURI ◽  
ISMAIL LARAIEDH ◽  
OTHMEN NCIB
Keyword(s):  
Vector Fields ◽  
Differential Operators ◽  
Lie Superalgebra ◽  
Differential Cohomology ◽  
Invariant Differential Operators ◽  
Linear Differential Operators ◽  
Relative Cohomology ◽  
Invariant Differential ◽  
Linear Differential ◽  
Cohomology Spaces

Over the (1, n)-dimensional real superspace, we classify [Formula: see text]-invariant linear differential operators acting on the superspaces of weighted densities, where [Formula: see text] is the Lie superalgebra of contact vector fields. This result allows us to compute the first differential cohomology of [Formula: see text] with coefficients in the superspace of weighted densities, vanishing on the Lie superalgebra [Formula: see text]. We explicitly give 1-cocycles spanning these cohomology spaces.

scholarly journals Invariant differential operators associated with a conformal metric

2007 ◽  
Vol 55 (2) ◽  
pp. 459-479 ◽  
Author(s):  
Seong-A Kim ◽  
Toshiyuki Sugawa
Keyword(s):  
Differential Operators ◽  
Conformal Metric ◽  
Invariant Differential Operators ◽  
Invariant Differential

scholarly journals Invariant differential operators

1967 ◽  
Vol 127 (3) ◽  
pp. 460-460 ◽  
Author(s):  
W. Smoke
Keyword(s):  
Differential Operators ◽  
Invariant Differential Operators ◽  
Invariant Differential
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