Abstract
In this chapter we provide finite presentations for algebras over the operads of wiring diagrams, of normal wiring diagrams, and of strict wiring diagrams. As examples, we apply the finite presentations to the propagator algebra, the algebra of discrete systems, and the algebra of open dynamical systems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, San Diego, 1978.
C. Male, Traffics distributions and independence: the permutation invariant matrices and the notions of independence, arXiv:1114.4662v6.
J.P. May, The geometry of iterated loop spaces, Lecture Notes in Math. 271, Springer-Verlag, New York, 1972.
D. Rupel and D.I. Spivak, The operad of temporal wiring diagrams: formalizing a graphical language for discrete-time processes, arXiv:1307.6894.
D.I. Spivak, The steady states of coupled dynamical systems compose according to matrix arithmetic, arXiv:1512.00802.
D. Vagner, D.I. Spivak, and E. Lerman, Algebras of open dynamical systems on the operad of wiring diagrams, Theory Appl. Categ. 30 (2015), 1793–1822.
D. Yau, Colored Operads, Graduate Studies in Math. 170, Amer. Math. Soc., Providence, RI, 2016.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Yau, D. (2018). Finite Presentation for Algebras over Wiring Diagrams. In: Operads of Wiring Diagrams. Lecture Notes in Mathematics, vol 2192. Springer, Cham. https://doi.org/10.1007/978-3-319-95001-3_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-95001-3_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-95000-6
Online ISBN: 978-3-319-95001-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)