Add to ORKGIn an earlier paper we enumerated the integral lattices of determinant one and dimension not exceeding 20. The present paper extends this enumeration to dimension 23, finding 40 lattices of dimension 21, 68 of dimension 22, and 117 of dimension 23. We also give explicit formulae for the Minkowski-Siegel mass constants for unimodular lattices (apparently not stated correctly elsewhere in the literature) and an exact table of the mass constants up to 32 dimensions, which provided a valuable check on our enumeration. 1
We calculate the scalar and tensor glueball masses on large lattices (ranging from 8 4 to 10 3 × 12)...
We calculate the scalar and tensor glueball masses on large lattices (ranging from 8 4 to 10 3 × 12)...
AbstractWe give a new existence proof for the rank 2d even lattices usually called the Barnes–Wall l...
In an earlier paper we enumerated the integral lattices of determinant one and dimension not exceedi...
AbstractThe integral lattices of determinant 1 and dimension not exceeding 20 are enumerated. Siegel...
AbstractIt is shown that ann-dimensional unimodular lattice has minimal norm at most 2[n/24]+2, unle...
AbstractWe derive an explicit formula for the mass of a unimodular Z-lattice of arbitrary signature ...
We classify the lattices of rank 16 over the Eisenstein integers which are even unimodular -lattices...
AbstractA complete list of all 12-dimensional even unimodular lattices over Q(√5) is given. Theta se...
It is shown that an n-dimensional unimodular lattice has minimal norm at most 2[n/24]+2, unless n=23...
In lattice theory the two well known equational class of lattices are the distributive lattices and ...
International audienceThe Niemeier lattices are the 23 unimodular even lattices of norm 2 in dimensi...
We show that a specific even unimodular lattice of dimension 80, first investigated by Schulze-Pillo...
It is shown that the number of classes of nonisometric lattices on the space of rational n-tuples is...
In this paper, the first of a series dealing with low-dimensional lattices and their applications, w...
We calculate the scalar and tensor glueball masses on large lattices (ranging from 8 4 to 10 3 × 12)...
We calculate the scalar and tensor glueball masses on large lattices (ranging from 8 4 to 10 3 × 12)...
AbstractWe give a new existence proof for the rank 2d even lattices usually called the Barnes–Wall l...
In an earlier paper we enumerated the integral lattices of determinant one and dimension not exceedi...
AbstractThe integral lattices of determinant 1 and dimension not exceeding 20 are enumerated. Siegel...
AbstractIt is shown that ann-dimensional unimodular lattice has minimal norm at most 2[n/24]+2, unle...
AbstractWe derive an explicit formula for the mass of a unimodular Z-lattice of arbitrary signature ...
We classify the lattices of rank 16 over the Eisenstein integers which are even unimodular -lattices...
AbstractA complete list of all 12-dimensional even unimodular lattices over Q(√5) is given. Theta se...
It is shown that an n-dimensional unimodular lattice has minimal norm at most 2[n/24]+2, unless n=23...
In lattice theory the two well known equational class of lattices are the distributive lattices and ...
International audienceThe Niemeier lattices are the 23 unimodular even lattices of norm 2 in dimensi...
We show that a specific even unimodular lattice of dimension 80, first investigated by Schulze-Pillo...
It is shown that the number of classes of nonisometric lattices on the space of rational n-tuples is...
In this paper, the first of a series dealing with low-dimensional lattices and their applications, w...
We calculate the scalar and tensor glueball masses on large lattices (ranging from 8 4 to 10 3 × 12)...
We calculate the scalar and tensor glueball masses on large lattices (ranging from 8 4 to 10 3 × 12)...
AbstractWe give a new existence proof for the rank 2d even lattices usually called the Barnes–Wall l...