Characteristic Classes for Difference Operators |
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| Authors: | A. H. M. Levelt A. Fahim |
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| Affiliation: | (1) Department of Mathematics, University of Nijmegen, The Netherlands; e-mail;(2) Département de Mathématiques, Université de La Rochelle, France; e-mail |
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| Abstract: | We introduce and describe the characteristic class of a difference operator over the difference field (k((t)), ). Here k is an algebraically closed field of characteristic zero and is the k-linear automorphism of k((t)) defined by (t)=t/(1+t). The approach is based on the characterization of simple difference operators in terms of their eigenvalues. |
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| Keywords: | difference operator difference field characteristic class. |
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