Operads And Universal Algebra PDF Download
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Author | : Chengming Bai |
Publisher | : World Scientific |
Total Pages | : 318 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 9814365114 |
Download Operads and Universal Algebra Book in PDF, ePub and Kindle
The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.
Author | : Murray R. Bremner |
Publisher | : CRC Press |
Total Pages | : 382 |
Release | : 2016-04-06 |
Genre | : Mathematics |
ISBN | : 1482248573 |
Download Algebraic Operads Book in PDF, ePub and Kindle
Algebraic Operads: An Algorithmic Companion presents a systematic treatment of Grobner bases in several contexts. The book builds up to the theory of Grobner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas in algebra. The authors present a variety of topics including: non
Author | : Benoit Fresse |
Publisher | : American Mathematical Soc. |
Total Pages | : 581 |
Release | : 2017-04-21 |
Genre | : Mathematics |
ISBN | : 1470434814 |
Download Homotopy of Operads and Grothendieck-Teichmuller Groups Book in PDF, ePub and Kindle
The Grothendieck–Teichmüller group was defined by Drinfeld in quantum group theory with insights coming from the Grothendieck program in Galois theory. The ultimate goal of this book is to explain that this group has a topological interpretation as a group of homotopy automorphisms associated to the operad of little 2-discs, which is an object used to model commutative homotopy structures in topology. This volume gives a comprehensive survey on the algebraic aspects of this subject. The book explains the definition of an operad in a general context, reviews the definition of the little discs operads, and explains the definition of the Grothendieck–Teichmüller group from the viewpoint of the theory of operads. In the course of this study, the relationship between the little discs operads and the definition of universal operations associated to braided monoidal category structures is explained. Also provided is a comprehensive and self-contained survey of the applications of Hopf algebras to the definition of a rationalization process, the Malcev completion, for groups and groupoids. Most definitions are carefully reviewed in the book; it requires minimal prerequisites to be accessible to a broad readership of graduate students and researchers interested in the applications of operads.
Author | : Jorge Almeida |
Publisher | : World Scientific |
Total Pages | : 532 |
Release | : 1995-01-27 |
Genre | : Mathematics |
ISBN | : 9814501565 |
Download Finite Semigroups And Universal Algebra Book in PDF, ePub and Kindle
Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics. It fruitfully combines methods, ideas and constructions from algebra, combinatorics, logic and topology. In simple terms, the theory aims at a classification of finite semigroups in certain classes called “pseudovarieties”. The classifying characteristics have both structural and syntactical aspects, the general connection between them being part of universal algebra. Besides providing a foundational study of the theory in the setting of arbitrary abstract finite algebras, this book stresses the syntactical approach to finite semigroups. This involves studying (relatively) free and profinite free semigroups and their presentations. The techniques used are illustrated in a systematic study of various operators on pseudovarieties of semigroups.
Author | : Tom Leinster |
Publisher | : Cambridge University Press |
Total Pages | : 451 |
Release | : 2004-07-22 |
Genre | : Mathematics |
ISBN | : 0521532159 |
Download Higher Operads, Higher Categories Book in PDF, ePub and Kindle
Foundations of higher dimensional category theory for graduate students and researchers in mathematics and mathematical physics.
Author | : Martin Markl |
Publisher | : American Mathematical Soc. |
Total Pages | : 362 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821843621 |
Download Operads in Algebra, Topology and Physics Book in PDF, ePub and Kindle
Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. From their beginnings in the 1960s, they have developed to encompass such areas as combinatorics, knot theory, moduli spaces, string field theory and deformation quantization.
Author | : Jean-Louis Loday |
Publisher | : SMF |
Total Pages | : 279 |
Release | : 2013 |
Genre | : Mathematics |
ISBN | : 9782856293638 |
Download Operads 2009 Book in PDF, ePub and Kindle
Author | : Donald Yau |
Publisher | : World Scientific |
Total Pages | : 486 |
Release | : 2021-12-02 |
Genre | : Mathematics |
ISBN | : 9811250944 |
Download Infinity Operads And Monoidal Categories With Group Equivariance Book in PDF, ePub and Kindle
This monograph provides a coherent development of operads, infinity operads, and monoidal categories, equipped with equivariant structures encoded by an action operad. A group operad is a planar operad with an action operad equivariant structure. In the first three parts of this monograph, we establish a foundation for group operads and for their higher coherent analogues called infinity group operads. Examples include planar, symmetric, braided, ribbon, and cactus operads, and their infinity analogues. For example, with the tools developed here, we observe that the coherent ribbon nerve of the universal cover of the framed little 2-disc operad is an infinity ribbon operad.In Part 4 we define general monoidal categories equipped with an action operad equivariant structure and provide a unifying treatment of coherence and strictification for them. Examples of such monoidal categories include symmetric, braided, ribbon, and coboundary monoidal categories, which naturally arise in the representation theory of quantum groups and of coboundary Hopf algebras and in the theory of crystals of finite dimensional complex reductive Lie algebras.
Author | : United States. Securities and Exchange Commission |
Publisher | : |
Total Pages | : 300 |
Release | : 1988 |
Genre | : Securities |
ISBN | : |
Download Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935 Book in PDF, ePub and Kindle
Author | : Ewa Graczyńska |
Publisher | : |
Total Pages | : 128 |
Release | : 2000 |
Genre | : Algebra, Universal |
ISBN | : 9788388492754 |
Download Universal algebra via tree operads Book in PDF, ePub and Kindle