An irreducible complex -module is cuspidal if its Harish-Chandra restriction is zero for every proper rational parabolic subgroup. By adjunction, it occurs in no Harish-Chandra induction from a proper rational Levi subgroup. This is a finite-group notion, distinct from a cuspidal automorphic representation.

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  1. Harish-Chandra restriction
  2. Harish-Chandra induction
  3. Finite group of Lie type
  4. Reductive group
  5. Linear algebraic group
  6. Lie theory
  7. Diagonal dominance
  8. Algebra
  9. Area of mathematics
  10. Mathematics
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