Date: 10 Jun 2005

Irreducible representations of the basic classical Lie superalgebras SU(m/n) ; SU(n/n)/U(1) ; OSp(m/2n) ; D(2/1 ; α ) ; G(3) ; F(4).

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Extending the results of Victor Kac, we construct and tabulate exhaustively the irreducible representations, typical and atypical, tensorial and spinorial, of the basic classical Lie superalgebras.