منابع مشابه
On Minimal Covolume Hyperbolic Lattices
We study lattices with a non-compact fundamental domain of small volume in hyperbolic space Hn. First, we identify the arithmetic lattices in Isom+Hn of minimal covolume for even n up to 18. Then, we discuss the related problem in higher odd dimensions and provide solutions for n = 11 and n = 13 in terms of the rotation subgroup of certain Coxeter pyramid groups found by Tumarkin. The results d...
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In this paper we investigate the atomic level in the lattice of subvarieties of residuated lattices. In particular, we give infinitely many commutative atoms and construct continuum many non-commutative, representable atoms that satisfy the idempotent law; this answers Problem 8.6 of [12]. Moreover, we show that there are only two commutative idempotent atoms and only two cancellative atoms. Fi...
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This paper characterizes those finite lattices which are a maximal sublattice of an infinite lattice. There are 145 minimal lattices with this property, and a finite lattice has an infinite minimal extension if and only if it contains one of these 145 as a sublattice. In [12], I. Rival showed that if L is a maximal sublattice of a distributive lattice K with |K| > 2, then |K| ≤ (3/2)|L|. In [1]...
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When space-time is assumed to be non-Riemannian the minimal coupling procedure (MCP) is not compatible, in general, with minimal action principle (MAP). This means that the equations gotten by applying MCP to the Euler-Lagrange equations of a Lagrangian L do not coincide with the Euler-Lagrange equations of the Lagrangian obtained by applying MCP to L. Such compatibility can be restored if the ...
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Spherical designs have been introduced in 1977 by Delsarte, Goethals and Seidel [11] and soon afterwards studied by Eiichi Bannai in a series of papers (see [3], [4], [5] to mention only a few of them). A spherical t-design is a finite subset X of the sphere such that every polynomial on R of total degree at most t has the same average over X as over the entire sphere. The theory of lattices ha...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1977
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1977.101481