Symplectic group lattices

DOI10.1090/S0002-9947-99-02469-1zbMath0941.20003MaRDI QIDQ4235624

Rudolf Scharlau, Pham Hũ'u Tiêp

Publication date: 22 March 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

linear codesintegral latticesWeil representationsMaslov indexself-dual codesfinite symplectic groupsunimodular lattices\(p\)-modular lattices

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Linear codes (general theory) (94B05) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Integral representations of finite groups (20C10) Quadratic forms over global rings and fields (11E12) Lattice packing and covering (number-theoretic aspects) (11H31) Representations of finite groups of Lie type (20C33) Automorphism groups of lattices (11H56)

Related Items (3)

Some generalizations of the Weil representations of the symplectic and unitary groups ⋮ Symplectic groups, symplectic spreads, codes, and unimodular lattices ⋮ Weil representations of symplectic groups over non-principal rings.

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