How Long to Read Algebraic Operads

By Jean-Louis Loday

How Long Does it Take to Read Algebraic Operads?

It takes the average reader 10 hours and 51 minutes to read Algebraic Operads by Jean-Louis Loday

Assuming a reading speed of 250 words per minute. Learn more

Description

In many areas of mathematics some “higher operations” are arising. These havebecome so important that several research projects refer to such expressions. Higher operationsform new types of algebras. The key to understanding and comparing them, to creating invariants of their action is operad theory. This is a point of view that is 40 years old in algebraic topology, but the new trend is its appearance in several other areas, such as algebraic geometry, mathematical physics, differential geometry, and combinatorics. The present volume is the first comprehensive and systematic approach to algebraic operads. An operad is an algebraic device that serves to study all kinds of algebras (associative, commutative, Lie, Poisson, A-infinity, etc.) from a conceptual point of view. The book presents this topic with an emphasis on Koszul duality theory. After a modern treatment of Koszul duality for associative algebras, the theory is extended to operads. Applications to homotopy algebra are given, for instance the Homotopy Transfer Theorem. Although the necessary notions of algebra are recalled, readers are expected to be familiar with elementary homological algebra. Each chapter ends with a helpful summary and exercises. A full chapter is devoted to examples, and numerous figures are included. After a low-level chapter on Algebra, accessible to (advanced) undergraduate students, the level increases gradually through the book. However, the authors have done their best to make it suitable for graduate students: three appendices review the basic results needed in order to understand the various chapters. Since higher algebra is becoming essential in several research areas like deformation theory, algebraic geometry, representation theory, differential geometry, algebraic combinatorics, and mathematical physics, the book can also be used as a reference work by researchers.

How long is Algebraic Operads?

Algebraic Operads by Jean-Louis Loday is 636 pages long, and a total of 162,816 words.

This makes it 215% the length of the average book. It also has 199% more words than the average book.

How Long Does it Take to Read Algebraic Operads Aloud?

The average oral reading speed is 183 words per minute. This means it takes 14 hours and 49 minutes to read Algebraic Operads aloud.

What Reading Level is Algebraic Operads?

Algebraic Operads is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Algebraic Operads?

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