Determinant groups of hermitian lattices over local fields

2019/04/09 by Kirschmer, Markus · 1 citation
#11E39 (Primary) 15A15 #15B57 (Secondary) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1904.04518

Abstract

We describe the determinants of the automorphism groups of hermitian lattices over local fields. Using a result of G. Shimura, this yields an explicit method to compute the special genera in a given genus of hermitian lattices over a number field.

Cited by

• Finiteness of Free Algebras of Modular Forms on Unitary Groups

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