
The authors investigate the question when the tensor square, the alternating square, or the symmetric square of an absolutely irreducible projective representation \(V\) of an almost simple group \(G\) is again irreducible. The information about such representations can be used in the study of the maximal subgroups of simple classical groups of Lie type. Let \(R = R(l^f)\) be a finite classical group of Lie type and let \(G
tensor squares, Modular representations and characters, Representations of finite groups of Lie type, irreducible representations, symmetric squares, alternating squares, Weil representations
tensor squares, Modular representations and characters, Representations of finite groups of Lie type, irreducible representations, symmetric squares, alternating squares, Weil representations
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