Neighborhood in the sense of Kneser for quaternionic lattices

DOI10.1007/BF02566012zbMath0843.11022MaRDI QIDQ1906911

Christine Bachoc

Publication date: 13 August 1996

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140373

zbMATH Keywords

connectedness of the neighbour graphhermitian spaces over quaternion skew fieldsneighbour of an integral latticeunimodular lattices over the Hurwitz order

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice packing and covering (number-theoretic aspects) (11H31) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (7)

Applications of coding theory to the construction of modular lattices ⋮ Classification of Two Genera of 32-Dimensional Lattices of Rank 8 over the Hurwitz Order ⋮ A generalization of the LLL-algorithm over Euclidean rings or orders ⋮ Classification of integral lattices with large class number ⋮ New complex- and quaternion-hyperbolic reflection groups ⋮ Density doubling, double-circulants, and new sphere packings ⋮ Zonal functions for the unitary groups and applications to Hermitian lattices.

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