On the tensor square of irreducible representations of reductive Lie superalgebras

Details On the tensor square of irreducible representations of reductive Lie superalgebras On the tensor square of irreducible representations of reductive Lie superalgebras

2009-10-27

arxiv.org/abs/0910.5212v1

Mathematics

Representation Theory

Scientific paper

For semisimple Lie superalgebras over an algebraically closed field of
characteristic zero, whose category of finite dimensional super representations
is semisismple, we classify all irreducible super representations for which the
alternating or symmetric square representation is irreducible or decomposes
into an irreducible representation and a trivial representation.

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