9 citations · 11 across the 7 of their papers we have counts for
8 papers
Kneser-Hecke-operators in coding theory
Gabriele Nebe
The Kneser-Hecke-operator is a linear operator defined on the complex vector space spanned by the equivalence classes of a family of self-dual codes of fixed length. It maps a line…
Hecke actions on certain strongly modular genera of lattices
Gabriele Nebe, Maria Teider
We calculate the action of some Hecke operators on spaces of modular forms spanned by the Siegel theta-series of certain genera of strongly modular lattices closely related to the…
Low dimensional strongly perfect lattices. I: The 12-dimensional case
Gabriele Nebe, Boris Venkov
It is shown that the Coxeter-Todd lattice is the unique strongly perfect lattice in dimension 12.
On blocks with cyclic defect group and their head orders
Gabriele Nebe
It is shown that Section 8 of Plesken's 1983 lecture notes describes blocks of cyclic defect group up to Morita equivalence. In particular such a block is determined by its planar…
On the radical idealizer chain of symmetric orders
Gabriele Nebe
If is an indecomposable, non maximal, symmetric order, then the idealizer of the radical $Γ:= \Id(J(Λ)) = J(Λ)^{#} $ is the dual of the radical. If is hereditary then h…
Strongly modular lattices with long shadow
Gabriele Nebe
We classify strongly modular lattices with longest and second longest possible shadow.