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zbMATH Open
Article . 2002
Data sources: zbMATH Open
Pacific Journal of Mathematics
Article . 2002 . Peer-reviewed
Data sources: Crossref
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Irreducibility of tensor squares, symmetric squares and alternating squares

Irreducibility of tensor squares, symmetric squares and alternating squares.
Authors: Magaard, Kay; Malle, Gunter; Tiep, Pham Huu;

Irreducibility of tensor squares, symmetric squares and alternating squares

Abstract

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

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Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
26
Top 10%
Top 10%
Top 10%
bronze
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