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math.RT2013
Homological algebra for osp(1/2n)
Kevin Coulembier
We discuss several topics of homological algebra for the Lie superalgebra osp(1|2n). First we focus on Bott-Kostant cohomology, which yields classical results although the cohomolo…
math-ph2013
Conformal symmetries of the super Dirac operator
Kevin Coulembier, Hendrik De Bie
In this paper, the Dirac operator, acting on super functions with values in super spinor space, is defined along the lines of the construction of generalized Cauchy-Riemann operato…
math.RT2013
Bernstein-Gelfand-Gelfand resolutions for basic classical Lie superalgebras
Kevin Coulembier
We study Kostant cohomology and Bernstein-Gelfand-Gelfand resolutions for finite dimensional representations of basic classical Lie superalgebras and reductive Lie superalgebras ba…