Determinant groups of Hermitian lattices over local fields
M. Kirschmer, Archiv Der Mathematik 113 (2019) 337–347.
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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.
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Archiv der Mathematik
Volume
113
Issue
4
Page
337-347
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Kirschmer M. Determinant groups of Hermitian lattices over local fields. Archiv der Mathematik. 2019;113(4):337-347. doi:10.1007/s00013-019-01348-z
Kirschmer, M. (2019). Determinant groups of Hermitian lattices over local fields. Archiv Der Mathematik, 113(4), 337–347. https://doi.org/10.1007/s00013-019-01348-z
@article{Kirschmer_2019, title={Determinant groups of Hermitian lattices over local fields}, volume={113}, DOI={10.1007/s00013-019-01348-z}, number={4}, journal={Archiv der Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kirschmer, Markus}, year={2019}, pages={337–347} }
Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local Fields.” Archiv Der Mathematik 113, no. 4 (2019): 337–47. https://doi.org/10.1007/s00013-019-01348-z.
M. Kirschmer, “Determinant groups of Hermitian lattices over local fields,” Archiv der Mathematik, vol. 113, no. 4, pp. 337–347, 2019, doi: 10.1007/s00013-019-01348-z.
Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local Fields.” Archiv Der Mathematik, vol. 113, no. 4, Springer Science and Business Media LLC, 2019, pp. 337–47, doi:10.1007/s00013-019-01348-z.
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