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Level stripping for vector-valued Siegel modular forms of genus 2

Level stripping for vector-valued Siegel modular forms of genus 2

In this paper, we present a method by which one can strip primes from the level of a vector-valued genus 2 Siegel modular form while preserving a congruence modulo this prime. An application of this result to four-dimensional Galois representations will also be presented.