Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Matrix generators for Weil representations. |
| Συγγραφείς: |
Korhonen, Mikko1 (AUTHOR) mikko.t.korhonen@tuni.fi |
| Πηγή: |
Journal of Algebra. Sep2026, Vol. 701, p124-136. 13p. |
| Θεματικοί όροι: |
*Representations of groups (Algebra), *Representation theory, *Symplectic groups, *Matrices (Mathematics), *Finite fields, *Mathematics software |
| Περίληψη: |
Let r be an odd prime and F a field containing a primitive r th root of unity. Then for all ℓ ≥ 1 , there is a faithful representation f : Sp 2 ℓ (r) → GL r ℓ (F) called the Weil representation. We provide explicit matrices generating Sp 2 ℓ (r) in GL r ℓ (F) , which we have implemented in Magma. We also describe such generators for the irreducible Weil representations of Sp 2 ℓ (r) , which are of degree (r ℓ ± 1) / 2 and arise as irreducible constituents of the Weil representations. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
Academic Search Index |