Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-28T12:48:42.901Z Has data issue: false hasContentIssue false

Characteristic Classes for Difference Operators

Published online by Cambridge University Press:  04 December 2007

A. H. M. LEVELT
Affiliation:
Department of Mathematics, University of Nijmegen, The Netherlands; e-mail: [email protected]
A. FAHIM
Affiliation:
Department of Mathematics, University of Nijmegen, The Netherlands; e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We introduce and describe the characteristic class of a difference operator over the difference field (k((t)),τ). Here k is an algebraically closed field of characteristic zero and τ is the k-linear automorphism of k((t)) defined by τ(t)=t/(1+t). The approach is based on the characterization of simple difference operators in terms of their eigenvalues.

Type
Research Article
Copyright
© 1999 Kluwer Academic Publishers