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Igor Rivin
Igor Rivin
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Suppose I have a subgroup $H$ of $GL(V)$ such that $H$ acts irreducibly on all the exterior powers of $H$ act irreducibly$V$. Is there any sort of characterization of such things? (I am intentionally not specifying the coefficients, since the results are presumably depend on these).

Suppose I have a subgroup $H$ of $GL(V)$ such that all exterior powers of $H$ act irreducibly. Is there any sort of characterization of such things? (I am intentionally not specifying the coefficients, since the results are presumably depend on these).

Suppose I have a subgroup $H$ of $GL(V)$ such that $H$ acts irreducibly on all the exterior powers of $V$. Is there any sort of characterization of such things? (I am intentionally not specifying the coefficients, since the results are presumably depend on these).

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Igor Rivin
Igor Rivin
  • 96.4k
  • 11
  • 153
  • 366

irreducibility of exterior powers

Suppose I have a subgroup $H$ of $GL(V)$ such that all exterior powers of $H$ act irreducibly. Is there any sort of characterization of such things? (I am intentionally not specifying the coefficients, since the results are presumably depend on these).