Nilpotence order growth of recursion operators in characteristic p
| Autor: | Anna Medvedovsky |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Polynomial
Hecke algebra Pure mathematics 11B85 linear recurrences in characteristic $p$ 01 natural sciences Upper and lower bounds $p$-regular sequences 11T55 0103 physical sciences FOS: Mathematics Order (group theory) Number Theory (math.NT) 0101 mathematics Mathematics Algebra and Number Theory Degree (graph theory) Mathematics - Number Theory 010102 general mathematics 11F33 Mathematics - Rings and Algebras base representation of numbers Finite field Rings and Algebras (math.RA) 11F03 Component (group theory) congruences between modular forms 010307 mathematical physics Krull dimension modular forms modulo $p$ $ \bmod p$ Hecke algebras |
| Zdroj: | Algebra Number Theory 12, no. 3 (2018), 693-722 Algebra and Number Theory |
| Popis: | We prove that the killing rate of certain degree-lowering “recursion operators” on a polynomial algebra over a finite field grows slower than linearly in the degree of the polynomial attacked. We also explain the motivating application: obtaining a lower bound for the Krull dimension of a local component of a big [math] Hecke algebra in the genus-zero case. We sketch the application for [math] and [math] in level one. The case [math] was first established in by Nicolas and Serre in 2012 using different methods. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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