Can I read The Mass of Unimodular Lattices on EtoBox?

The Mass of Unimodular Lattices by Belolipetsky, M.; Gan, W. T. is a scholarly article available to read on EtoBox.

What is The Mass of Unimodular Lattices about?

The purpose of this paper is to show how to obtain the mass of a unimodular lattice from the point of view of the Bruhat-Tits theory. This is achieved by relating the local stabilizer of the lattice to a maximal parahoric subgroup of the special orthogonal group, and appealing to an explicit mass formula for parahoric subgroups developed by Gan, Hanke and Yu. Of course, the exact mass formula for positive defined unimodular lattices is well-known. Moreover, the exact formula for lattices of signature (1,n) (which give rise to hyperbolic orbifolds) was obtained by Ratcliffe and Tschantz, starting from the fundamental work of Siegel. Our approach works uniformly for the lattices of arbitrary signature (r,s) and hopefully gives a more conceptual way of deriving the above known results.

Author

Belolipetsky, M.; Gan, W. T.

Published

2003

Language

EN