Unimodular Hermitian lattices in dimension 13.

DOI10.1016/j.jalgebra.2003.05.006zbMath1040.11051OpenAlexW1983335912MaRDI QIDQ1425093

Kanat S. Abdukhalikov

Publication date: 15 March 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.05.006

zbMATH Keywords

Hermitian latticeUnimodular lattice

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Automorphism groups of lattices (11H56)

Related Items (3)

Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers ⋮ Automorphic Forms on Feit’s Hermitian Lattices ⋮ ON AUTOMORPHISMS OF EXTREMAL EVEN UNIMODULAR LATTICES

Cites Work

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• Some lattices over \(Q(\sqrt{-3})^*\)
• Classification of Hermitian forms with the neighbour method
• Applications of coding theory to the construction of modular lattices
• Quadratic residue codes and symplectic groups
• The Modular Permutation Representations of the Known Doubly Transitive Groups
• Generalized quadratic residue codes
• Invariant hermitian lattices in the steinberg module and their isometry groups
• Finite subgroups of GL_n(Q) for 25 ≤ n ≤ 31

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