| LDR | | 01647nmm uu200373 4500 |
| 001 | | 000000331439 |
| 005 | | 20240805164402 |
| 008 | | 181129s2018 |||||||||||||||||c||eng d |
| 020 | |
▼a 9780438194786 |
| 035 | |
▼a (MiAaPQ)AAI10927908 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Sheydvasser, Arseniy. |
| 245 | 10 |
▼a Classifying integral crystallographic packings. |
| 260 | |
▼a [S.l.] :
▼b Yale University.,
▼c 2018 |
| 260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
| 300 | |
▼a 100 p. |
| 500 | |
▼a Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B. |
| 500 | |
▼a Adviser: Alexander Kontorovich. |
| 502 | 1 |
▼a Thesis (Ph.D.)--Yale University, 2018. |
| 520 | |
▼a We give a procedure of constructing analogs of the Apollonian circle packing known as integral crystallographic sphere packings. Our approach uses the notion of maximal orders over quaternion algebras with orthogonal involution, which was origin |
| 520 | |
▼a Using this machinery, we define an analog of Bianchi groups for rational quaternion algebras and use it to construct analogs of the superpacking of the Apollonian circle packing. Finally, we show how to produce integral crystallographic packings |
| 590 | |
▼a School code: 0265. |
| 650 | 4 |
▼a Theoretical mathematics. |
| 690 | |
▼a 0642 |
| 710 | 20 |
▼a Yale University. |
| 773 | 0 |
▼t Dissertation Abstracts International
▼g 79-12B(E). |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0265 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2018 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15000858
▼n KERIS |
| 980 | |
▼a 201812
▼f 2019 |
| 990 | |
▼a 관리자 |