Displaying similar documents to “On the ghost centre of Lie superalgebras”

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.

ℤ -graded Lie superalgebras of infinite depth and finite growth

Nicoletta Cantarini (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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In 1998 Victor Kac classified infinite-dimensional ℤ -graded Lie superalgebras of finite depth. We construct new examples of infinite-dimensional Lie superalgebras with a ℤ -gradation of infinite depth and finite growth and classify ℤ -graded Lie superalgebras of infinite depth and finite growth under suitable hypotheses.