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Symplectic group lattices (Q4235624)

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scientific article; zbMATH DE number 1267790

Language	Label	Description	Also known as
English	Symplectic group lattices	scientific article; zbMATH DE number 1267790

Statements

scholarly article

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Symplectic group lattices (English)

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Rudolf Scharlau

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Pham Hũ'u Tiêp

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Transactions of the American Mathematical Society

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publication date

22 March 1999

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zbMATH Keywords

integral lattices

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unimodular lattices

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\(p\)-modular lattices

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finite symplectic groups

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Weil representations

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Maslov index

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linear codes

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self-dual codes

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MaRDI profile type

MaRDI publication profile

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Lattices and association schemes: a unimodular example in dimension 28

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On the Clifford collineation, transform and similarity groups. I.

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On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane)

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A classical invitation of algebraic numbers and class fields. With two appendices by Olga Taussky: ``Artin's 1932 Göttingen lectures on class field theory'' and ``Connections between algebraic number theory and integral matrices.''

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On lattices equivalent to their duals

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A new upper bound on the minimal distance of self-dual codes

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Strong lift-and-project cutting planes for the stable set problem

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Symplectic group lattices as Mordell-Weil sublattices

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A characterization of the \(\mathbb Z^ n\) lattice

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Even unimodular lattices associated with the Weil representation of the finite symplectic group

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On the quadratic type of some simple self-dual modules over fields of characteristic two

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Group Representations and Lattices

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Characters of Solvable and Symplectic Groups

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The Weil representation, Maslov index and theta series

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Finite rational matrix groups

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Modular lattices in Euclidean spaces

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Classification of integral lattices with large class number

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Symplectic groups, symplectic spreads, codes, and unimodular lattices

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Some Representations of Classical Groups

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WEIL REPRESENTATIONS OF FINITE SYMPLECTIC GROUPS, AND GOW LATTICES

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Globally irreducible representations of finite groups and integral lattices

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Globally irreducible representations of the finite symplectic group Sp<sub>4</sub>(q)

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Weil Representations as Globally Irreducible Representations

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Minimal characters of the finite classical groups

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Some generalizations of the Weil representations of the symplectic and unitary groups

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Representations of symplectic groups

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Quadratic residue codes in their prime

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Identifiers

zbMATH Open document ID

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10.1090/S0002-9947-99-02469-1

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4235624

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