AbstractWe give a short uniqueness proof for the E8 root lattice, and in fact for all positive definite unimodular lattices of rank up to 8. Our proof is done with elementary arguments, mainly these: (1) invariant theory for integer matrices; (2) an upper bound for the minimum of nonzero norms (either of the elementary bounds of Hermite or Minkowski will do). We make no use of p-adic completions, mass formulas or modular forms
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
AbstractIn this paper we prove that the vertex algebra VL+ is rational if L is a negative definite e...
AbstractWe give a short uniqueness proof for the E8 root lattice, and in fact for all positive defin...
Throughout this talk we consider only positive definite even unimodular lattces. S. Manni [12] prove...
AbstractGiven a polarization of an even unimodular lattice and integer k⩾1, we define a family of un...
AbstractIt is shown that ann-dimensional unimodular lattice has minimal norm at most 2[n/24]+2, unle...
AbstractWe give a new existence proof for the rank 2d even lattices usually called the Barnes–Wall l...
We show that a specific even unimodular lattice of dimension 80, first investigated by Schulze-Pillo...
We classify the lattices of rank 16 over the Eisenstein integers which are even unimodular -lattices...
AbstractLetDmbe the ring of integers of an imgainary quadratic fieldQ(−m)withm≡3 (mod4). Then there ...
It is shown that the number of classes of nonisometric lattices on the space of rational n-tuples is...
In this paper we investigate integral even unimodular lattices L in a vector space with a totally po...
We look at genera of even unimodular lattices of rank 12 over the ring of integers of Q(5) and of ra...
Let M∈R^p×q be a nonnegative matrix. The positive semidefinite rank (psd rank) of M is the smallest ...
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
AbstractIn this paper we prove that the vertex algebra VL+ is rational if L is a negative definite e...
AbstractWe give a short uniqueness proof for the E8 root lattice, and in fact for all positive defin...
Throughout this talk we consider only positive definite even unimodular lattces. S. Manni [12] prove...
AbstractGiven a polarization of an even unimodular lattice and integer k⩾1, we define a family of un...
AbstractIt is shown that ann-dimensional unimodular lattice has minimal norm at most 2[n/24]+2, unle...
AbstractWe give a new existence proof for the rank 2d even lattices usually called the Barnes–Wall l...
We show that a specific even unimodular lattice of dimension 80, first investigated by Schulze-Pillo...
We classify the lattices of rank 16 over the Eisenstein integers which are even unimodular -lattices...
AbstractLetDmbe the ring of integers of an imgainary quadratic fieldQ(−m)withm≡3 (mod4). Then there ...
It is shown that the number of classes of nonisometric lattices on the space of rational n-tuples is...
In this paper we investigate integral even unimodular lattices L in a vector space with a totally po...
We look at genera of even unimodular lattices of rank 12 over the ring of integers of Q(5) and of ra...
Let M∈R^p×q be a nonnegative matrix. The positive semidefinite rank (psd rank) of M is the smallest ...
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
AbstractIn this paper we prove that the vertex algebra VL+ is rational if L is a negative definite e...
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