[{"keyword":["General Mathematics"],"language":[{"iso":"eng"}],"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"}],"publication":"Archiv der Mathematik","title":"Determinant groups of Hermitian lattices over local fields","publisher":"Springer Science and Business Media LLC","date_created":"2022-12-23T11:03:41Z","year":"2019","issue":"4","_id":"34915","user_id":"93826","department":[{"_id":"102"}],"status":"public","type":"journal_article","doi":"10.1007/s00013-019-01348-z","date_updated":"2023-04-04T09:05:04Z","author":[{"full_name":"Kirschmer, Markus","id":"82258","last_name":"Kirschmer","first_name":"Markus"}],"volume":113,"citation":{"ieee":"M. Kirschmer, “Determinant groups of Hermitian lattices over local fields,” <i>Archiv der Mathematik</i>, vol. 113, no. 4, pp. 337–347, 2019, doi: <a href=\"https://doi.org/10.1007/s00013-019-01348-z\">10.1007/s00013-019-01348-z</a>.","chicago":"Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local Fields.” <i>Archiv Der Mathematik</i> 113, no. 4 (2019): 337–47. <a href=\"https://doi.org/10.1007/s00013-019-01348-z\">https://doi.org/10.1007/s00013-019-01348-z</a>.","ama":"Kirschmer M. Determinant groups of Hermitian lattices over local fields. <i>Archiv der Mathematik</i>. 2019;113(4):337-347. doi:<a href=\"https://doi.org/10.1007/s00013-019-01348-z\">10.1007/s00013-019-01348-z</a>","bibtex":"@article{Kirschmer_2019, title={Determinant groups of Hermitian lattices over local fields}, volume={113}, DOI={<a href=\"https://doi.org/10.1007/s00013-019-01348-z\">10.1007/s00013-019-01348-z</a>}, 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.” <i>Archiv Der Mathematik</i>, vol. 113, no. 4, Springer Science and Business Media LLC, 2019, pp. 337–47, doi:<a href=\"https://doi.org/10.1007/s00013-019-01348-z\">10.1007/s00013-019-01348-z</a>.","short":"M. Kirschmer, Archiv Der Mathematik 113 (2019) 337–347.","apa":"Kirschmer, M. (2019). Determinant groups of Hermitian lattices over local fields. <i>Archiv Der Mathematik</i>, <i>113</i>(4), 337–347. <a href=\"https://doi.org/10.1007/s00013-019-01348-z\">https://doi.org/10.1007/s00013-019-01348-z</a>"},"page":"337-347","intvolume":"       113","publication_status":"published","publication_identifier":{"issn":["0003-889X","1420-8938"]}},{"_id":"40216","department":[{"_id":"555"}],"user_id":"37390","keyword":["General Mathematics"],"language":[{"iso":"eng"}],"extern":"1","publication":"Archiv der Mathematik","type":"journal_article","status":"public","publisher":"Springer Science and Business Media LLC","date_updated":"2023-01-26T17:33:57Z","volume":60,"author":[{"first_name":"R.","full_name":"Lasser, R.","last_name":"Lasser"},{"first_name":"Margit","full_name":"Rösler, Margit","id":"37390","last_name":"Rösler"}],"date_created":"2023-01-26T09:05:30Z","title":"A note on property (T) of orthogonal polynomials","doi":"10.1007/bf01202312","publication_identifier":{"issn":["0003-889X","1420-8938"]},"publication_status":"published","issue":"5","year":"1993","page":"459-463","intvolume":"        60","citation":{"ama":"Lasser R, Rösler M. A note on property (T) of orthogonal polynomials. <i>Archiv der Mathematik</i>. 1993;60(5):459-463. doi:<a href=\"https://doi.org/10.1007/bf01202312\">10.1007/bf01202312</a>","ieee":"R. Lasser and M. Rösler, “A note on property (T) of orthogonal polynomials,” <i>Archiv der Mathematik</i>, vol. 60, no. 5, pp. 459–463, 1993, doi: <a href=\"https://doi.org/10.1007/bf01202312\">10.1007/bf01202312</a>.","chicago":"Lasser, R., and Margit Rösler. “A Note on Property (T) of Orthogonal Polynomials.” <i>Archiv Der Mathematik</i> 60, no. 5 (1993): 459–63. <a href=\"https://doi.org/10.1007/bf01202312\">https://doi.org/10.1007/bf01202312</a>.","apa":"Lasser, R., &#38; Rösler, M. (1993). A note on property (T) of orthogonal polynomials. <i>Archiv Der Mathematik</i>, <i>60</i>(5), 459–463. <a href=\"https://doi.org/10.1007/bf01202312\">https://doi.org/10.1007/bf01202312</a>","short":"R. Lasser, M. Rösler, Archiv Der Mathematik 60 (1993) 459–463.","bibtex":"@article{Lasser_Rösler_1993, title={A note on property (T) of orthogonal polynomials}, volume={60}, DOI={<a href=\"https://doi.org/10.1007/bf01202312\">10.1007/bf01202312</a>}, number={5}, journal={Archiv der Mathematik}, publisher={Springer Science and Business Media LLC}, author={Lasser, R. and Rösler, Margit}, year={1993}, pages={459–463} }","mla":"Lasser, R., and Margit Rösler. “A Note on Property (T) of Orthogonal Polynomials.” <i>Archiv Der Mathematik</i>, vol. 60, no. 5, Springer Science and Business Media LLC, 1993, pp. 459–63, doi:<a href=\"https://doi.org/10.1007/bf01202312\">10.1007/bf01202312</a>."}}]