Abstract
The low-dimensional projective irreducible representations in cross characteristics of the projective special linear group Ln (q) are investigated. If n ≥ 3 and (n,q) ≠ (3,2), (3,4), (4,2), (4,3), all such representations of the first degree (which is (qn - q)/(q - 1) - κn with κn = 0 or 1) and the second degree (which is (qn - 1)/(q - 1)) come from Weil representations. We show that the gap between the second and the third degree is roughly q2n-4.
Original language | English (US) |
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Pages (from-to) | 116-138 |
Number of pages | 23 |
Journal | Proceedings of the London Mathematical Society |
Volume | 78 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1999 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)