Positive definite unimodular lattices with trivial automorphism groups

DOI10.1090/memo/0429zbMath0702.11037OpenAlexW2070788983MaRDI QIDQ3480137

Etsuko Bannai

Publication date: 1990

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487588249823282

zbMATH Keywords

mass formulaunimodular latticeselfdual latticegroup of isometric automorphismsMinkowski-Siegel mass

Mathematics Subject Classification ID

Class numbers of quadratic and Hermitian forms (11E41) Automorphism groups of lattices (11H56)

Related Items (10)

A mass formula for unimodular lattices with no roots ⋮ Unimodular lattices over real quadratic fields ⋮ Some congruences for Siegel theta series ⋮ A note on Quebbemann's extremal lattices of rank 64 ⋮ Positive definite \(n\)-regular quadratic forms ⋮ A note on unimodular lattices with trivial automorphism groups ⋮ Rational homology of the group \(\text{O}_n(\mathbb{Z}[\tfrac 12)\) and automorphisms of unimodular lattices] ⋮ 1-universal binary and ternary Hermitian lattices over imaginary quadratic fields ⋮ Pieces of \(2^d\)\,: existence and uniqueness for Barnes-Wall and Ypsilanti lattices ⋮ The integral trace form as a complete invariant for real \(S_n\) number fields

This page was built for publication: Positive definite unimodular lattices with trivial automorphism groups