| 书目名称 | Operads of Wiring Diagrams | | 编辑 | Donald Yau | | 视频video | | | 概述 | Provides a self-contained introduction to wiring diagrams, operads, and operad algebras.Includes over 100 illustrations and a chapter of practice problems.Presents generators and relations for both th | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .Wiring diagrams form a kind of graphical language that describes operations or processes with multiple inputs and outputs, and shows how such operations are wired together to form a larger and more complex operation. This monograph presents a comprehensive study of the combinatorial structure of the various operads of wiring diagrams, their algebras, and the relationships between these operads..The book proves finite presentation theorems for operads of wiring diagrams as well as their algebras. These theorems describe the operad in terms of just a few operadic generators and a small number of generating relations. The author further explores recent trends in the application of operad theory to wiring diagrams and related structures, including finite presentations for the propagator algebra, the algebra of discrete systems, the algebra of open dynamical systems, and the relational algebra. A partial verification of David Spivak’s conjecture regarding the quotient-freeness of therelational algebra is also provided. In the final part, the author constructs operad maps between the various operads of wiring diagrams and identifies their images.. .Assuming only basic knowledge of algeb | | 出版日期 | Book 2018 | | 关键词 | MSC (2010): 18D50, 37A60, 55P48, 81P45, 94C15; wiring diagrams; undirected wiring diagrams; operads; col | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-95001-3 | | isbn_softcover | 978-3-319-95000-6 | | isbn_ebook | 978-3-319-95001-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer Nature Switzerland AG 2018 |
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发表于 2025-3-21 19:33:02
