Deligne-Lusztig restriction of a Gelfand-Graev module

Olivier Dudas

Displaying similar documents to “Deligne-Lusztig restriction of a Gelfand-Graev module”

The $n$ -cohomology of representations with an infinitesimal character

William Casselman, M. Scott Osborne (1975)

Compositio Mathematica

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On representations of restricted Lie superalgebras

Yu-Feng Yao (2014)

Czechoslovak Mathematical Journal

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Simple modules for restricted Lie superalgebras are studied. The indecomposability of baby Kac modules and baby Verma modules is proved in some situation. In particular, for the classical Lie superalgebra of type $A (n | 0)$ , the baby Verma modules $Z_{χ} (λ)$ are proved to be simple for any regular nilpotent $p$ -character $χ$ and typical weight $λ$ . Moreover, we obtain the dimension formulas for projective covers of simple modules with $p$ -characters of standard Levi form.