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Higher Algebra by Jacob Lurie



About this book :-
Higher Algebra is a complex mathematics book that builds upon his earlier work, Higher Topos Theory. It introduces advanced concepts like infinity-categories (8-categories) into algebra, developing ideas such as E-algebras, 8-operads, and stable 8-categories. The book is aimed at graduate students and researchers with a strong background in homotopy theory, operads, stable categories, and higher category theory. It has been described as revolutionary, sparking a conceptual shift in mathematics comparable to Grothendieck’s work in algebraic geometry. This book is an informal and readable introduction to higher algebra at the post-calculus level with focus on Stable infinite-Categories, infinite-Operads, Algebras and Modules over infinte-Operads, Associative Algebras and Their Modules, Little Cubes and Factorizable Sheaves, Algebraic Structures on infinite-Categories, Algebra in the Stable Homotopy Category, Constructible Sheaves and Exit Paths; Categorical Patterns.

Book Detail :-
Title: Higher Algebra by Jacob Lurie
Publisher: Harvard University
Year: 2017
Pages: 1553
Type: PDF
Language: English
ISBN-10 #: N\A
ISBN-13 #: N\A
License: Linked Content Owned by Author
Amazon: Amazon

About Author :-
The author Jacob Lurie (born 1977) is an American mathematician and professor at Department of Mathematics, Harvard University, Cambridge. He known for his groundbreaking work in algebraic geometry, topology, and homotopy theory. During his studies, he achieved gold medal at 1994 International Mathematical Olympiad. He earned his B.A. in Mathematics from Harvard University in 2000, where he also received the Morgan Prize for his undergraduate thesis on Lie algebras.

Book Contents :-
1. Stable 8-Categories 2. 8-Operads 3. Algebras and Modules over 8-Operads 4. Associative Algebras and Their Modules 5. Little Cubes and Factorizable Sheaves 6. The Calculus of Functors 7. Algebra in the Stable Homotopy Category A. Constructible Sheaves and Exit Paths B. Categorical Patterns

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