✦ LIBER ✦

Sphere packings and hyperbolic reflection groups

✍ Scribed by George Maxwell

Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 836 KB
Volume: 79
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(82)90318-0

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Densest Packing of Equal Spheres in Hype

Densest Packing of Equal Spheres in Hyperbolic Space

✍ Bowen; Radin 📂 Article 📅 2002 🏛 Springer 🌐 English ⚖ 141 KB

Reflection Groups on the Octave Hyperbol

Reflection Groups on the Octave Hyperbolic Plane

✍ Daniel Allcock 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 223 KB

For two different integral forms K of the exceptional Jordan algebra we show that Aut K is generated by octave reflections. These provide ''geometric'' examples Ž . of discrete reflection groups acting with finite covolume on the octave or Cayley 2 Ž hyperbolic plane ‫ޏ‬H , the exceptional rank one

Apollonian packings and hyperbolic geome

Apollonian packings and hyperbolic geometry

✍ Minoru Ishida; Sadayoshi Kojima 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 906 KB

We review the generalized apollonian packings by Bessis and Demko from 3dimensional viewpoints and solve their conjectures on the discreteness of the groups they constructed. Moreover, we systematically generalize the construction of packings in terms of the Coxeter group theory, and propose a compu

Automorphic Forms, Fake Monster Algebras

Automorphic Forms, Fake Monster Algebras, and Hyperbolic Reflection Groups

✍ Nils R. Scheithauer 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 170 KB

We construct two families of automorphic forms related to twisted fake monster algebras and calculate their Fourier expansions. This gives a new proof of their denominator identities and shows that they define automorphic forms of singular weight. We also obtain new infinite product identities which

Circle packings into convex domains of t

Circle packings into convex domains of the Euclidean and hyperbolic plane and the sphere

✍ Károly Bezdek 📂 Article 📅 1986 🏛 Springer 🌐 English ⚖ 280 KB

Hyperbolic Plane Reflections and the Hal

Hyperbolic Plane Reflections and the Hall–Janko Group

✍ Kenny Ching 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 193 KB

We introduce the notion of a hyperbolic plane reflection in symplectic space over a finite field of characteristic 3 and show that the group 2 HJ, where HJ is the Hall᎐Janko simple group, is generated by a set of 315 hyperbolic plane reflections in symplectic 6-space.