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From Objects to Diagrams for Ranges of Functors: 2029 (Lecture Notes in Mathematics)

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Book Details

  • Publisher: Springer

  • Author: Pierre Gillibert

  • Language: English

  • Edition: 2011 ed.

  • ISBN: 9783642217739

  • Pages: 158

  • Cover: Paperback

  • Dimensions: 9.0 x 6.0 x 0.4 inches


About The Book

Category Theory for Representation Theory introduces a set of innovative tools from the field of category theory to address previously unsolvable representation problems. A central theme of the book is the application of category theory to determine the range of a given functor, a problem that has long been a challenge in the field. The author, Pierre Gillibert, presents a novel approach: if a functor lifts many objects, it can also lift many (poset-indexed) diagrams, opening new possibilities for tackling complex representation issues.

This concise yet profound work bridges the gap between category theory and representation theory, providing readers with valuable insights into the power of category theory tools for solving difficult problems. With 19 black-and-white illustrations and biographical references, the book is an essential resource for advanced students, researchers, and professionals interested in the intersection of mathematics, category theory, and representation theory.