{"publisher":"Springer Science and Business Media LLC","language":[{"iso":"eng"}],"_id":"34915","title":"Determinant groups of Hermitian lattices over local fields","date_updated":"2023-04-04T09:05:04Z","page":"337-347","type":"journal_article","keyword":["General Mathematics"],"volume":113,"user_id":"93826","year":"2019","author":[{"full_name":"Kirschmer, Markus","last_name":"Kirschmer","first_name":"Markus","id":"82258"}],"abstract":[{"text":"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.","lang":"eng"}],"status":"public","date_created":"2022-12-23T11:03:41Z","doi":"10.1007/s00013-019-01348-z","issue":"4","publication":"Archiv der Mathematik","citation":{"bibtex":"@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} }","mla":"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.","short":"M. Kirschmer, Archiv Der Mathematik 113 (2019) 337–347.","apa":"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","chicago":"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.","ieee":"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.","ama":"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"},"department":[{"_id":"102"}],"publication_identifier":{"issn":["0003-889X","1420-8938"]},"publication_status":"published","intvolume":" 113"}