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Extremal symplectic lattices

✍ Scribed by J. R. Quine; Peter Liang Zhang


Publisher
The Hebrew University Magnes Press
Year
1998
Tongue
English
Weight
654 KB
Volume
108
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


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✍ Rudolf Scharlau; Pham Huu Tiep πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 485 KB

It is known that the symplectic group Sp p has two complex conjugate 2 n n Ε½ . Ε½ . irreducible representations of degree p q 1 r2 realized over ‫ޑ‬ y p , provided ' that p ' 3 mod 4. In the paper we give an explicit construction of an odd unimodu-Ε½ . Ε½ . n n lar Sp p ΠΈ 2-invariant lattice ⌬ p, n in

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We compared the clinical picture of sarcoidosis in patients diagnosed at MjΓΆlbolsta hospital in Finland in 1955-1987 with those diagnosed in Sapporo in 1964-1988. The female:male ratios showed a slight female predominance. The mean age (SD) at diagnosis was 41.5 (13.0) years at MjΓΆlbolsta and 30.0 (

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✍ Clint Scovel πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 493 KB
Nonexistence of Extremal Lattices in Cer
✍ Gabriele Nebe; Boris B. Venkov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 353 KB

In this note we consider integral lattices 4 in euclidean space (R n , ,), i.e. 4 R n is the Z-span of an R-basis of R n with ,(4, 4) Z. The minimum of 4 is min[,(4, 4) | 0{\* # 4]. It is interesting to find lattices of given determinant or of given genus with large minimum. We prove the following

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Among all even integral lattices in n-dimensional Euclidean spaces there are some particularly beautiful examples with large symmetry groups and other remarkable properties. Foremost among these are the Leech lattice of rank 24 and the E 8 lattice of rank 8. Also notable are some infinite families o