Generation of local unitary groups
نویسندگان
چکیده
Let E be a two-dimensional étale algebra over non-Archimedean local field K of characteristic zero. We show that the unitary group non-degenerate hermitian lattice is generated by symmetries and rescaled Eichler isometries. In appendix we unless E/K ramified dyadic extension residue has two elements, suffice.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2022.07.007