B. H. Gross, “Unramified reciprocal polynomials and Coxeter decompositions”, Mosc. Math. J., 2002, Volume 2, Number 4,Pages <nobr>681

Unramified reciprocal polynomials and Coxeter decompositions

B. H. Gross

Department of Mathematics, Harvard University

Abstract: We classify certain automorphisms of an even unimodular lattice $L$ with fixed irreducible and unramified characteristic polynomial. The question which automorphisms are conjugate to their inverses in the orthogonal group of $L$ is investigated.

Key words and phrases: Reciprocal polynomial, unimodular lattice, Coxeter decomposition, Salem number.

MSC: 11H56, 11R06, 20F55

Received: November 11, 2001; in revised form June 17, 2002

Language: English

DOI: 10.17323/1609-4514-2002-2-4-681-692