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Local and global limit denotators and the classification of global compositions


Mazzola, G (2005). Local and global limit denotators and the classification of global compositions. In: Fripertinger, H. Colloquium on Mathematical Music Theory. Graz: Karl-Franzens-Universität, 91-101.

Abstract

It is shown that the module complexes used for the classification theory of global compositions are denotators of limit type, a special instance of which is also encountered in the network theory of David Lewin [Music Theory Spectrum 12 (1990), no. 1, 83–120] and Henry Klumpenhouwer. We then sketch a theory of global limit denotators and show that there is a canonical functor into the category of global compositions. This provides us with invariants for the classification of global limit denotators

It is shown that the module complexes used for the classification theory of global compositions are denotators of limit type, a special instance of which is also encountered in the network theory of David Lewin [Music Theory Spectrum 12 (1990), no. 1, 83–120] and Henry Klumpenhouwer. We then sketch a theory of global limit denotators and show that there is a canonical functor into the category of global compositions. This provides us with invariants for the classification of global limit denotators

Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:classification theory; global compositions; global limit denotators; Klumpenhouwer networks; local limit denotators; moduli spaces
Language:English
Date:2005
Deposited On:29 Nov 2010 16:26
Last Modified:05 Apr 2016 13:24
Publisher:Karl-Franzens-Universität
Series Name:Grazer Mathematische Berichte
Number:347
ISSN:1016-7692
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2229148
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1144.18005

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