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Model theory of exponentials on Lie algebras

Published online by Cambridge University Press:  01 February 2008

ANGUS MACINTYRE
ANGUS MACINTYRE*
Affiliation:
Department of Mathematical Sciences, Queen Mary University of London, Mile End, London E1 4NS, United Kingdom Email: angus@dcs.qmul.ac.uk
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Abstract

This paper presents an analysis of definitions and decidability for exponential functions on various matrix algebras. The main idea is to show that, generically, the entries of the exponential (or logarithm) of a matrix are Pfaffian functions of the entries of the matrix.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 18 , Special Issue 1: in memory of Sauro Tulipani , February 2008 , pp. 189 - 204
Copyright
Copyright © Cambridge University Press2008

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