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Moscow Mathematical Journal, 2002, Volume 2, Number 4, Pages 681–692
DOI: https://doi.org/10.17323/1609-4514-2002-2-4-681-692 (Mi mmj68) 		 
Unramified reciprocal polynomials and Coxeter decompositions

B. H. Gross

Department of Mathematics, Harvard University
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DOI: https://doi.org/10.17323/1609-4514-2002-2-4-681-692
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.
Received: November 11, 2001; in revised form June 17, 2002
Bibliographic databases:
MSC: 11H56, 11R06, 20F55
Language: English
Citation: B. H. Gross, “Unramified reciprocal polynomials and Coxeter decompositions”, Mosc. Math. J., 2:4 (2002), 681–692
Citation in format AMSBIB
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\by B.~H.~Gross
\paper Unramified reciprocal polynomials and Coxeter decompositions
\jour Mosc. Math.~J.
\yr 2002
\vol 2
\issue 4
\pages 681--692
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