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Displaying similar documents to “Sublattices of certain Coxeter lattices”

The strongly perfect lattices of dimension 10

Gabriele Nebe, Boris Venkov (2000)

Journal de théorie des nombres de Bordeaux

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This paper classifies the strongly perfect lattices in dimension 10 . There are up to similarity two such lattices, K 10 ' and its dual lattice.

On subalgebra lattices of a finite unary algebra. II.

Konrad Pióro (2001)

Mathematica Bohemica

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We use graph-algebraic results proved in [8] and some results of the graph theory to characterize all pairs 𝐋 1 , 𝐋 2 of lattices for which there is a finite partial unary algebra such that its weak and strong subalgebra lattices are isomorphic to 𝐋 1 and 𝐋 2 , respectively. Next, we describe other pairs of subalgebra lattices (weak and relative, etc.) of a finite unary algebra. Finally, necessary and sufficient conditions are found for quadruples 𝐋 1 , 𝐋 2 , 𝐋 3 , 𝐋 4 of lattices for which there is a finite unary algebra...

Trees and matchings.

Kenyon, Richard W., Propp, James G., Wilson, David B. (2000)

The Electronic Journal of Combinatorics [electronic only]

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