Tilting theory originates in the representation theory of finite dimensional algebras. Today, the subject is of much interest in various areas of mathematics, such as finite and algebraic group theory, commutative and non-commutative algebraic geometry, and algebraic topology. The aim of this book is to present the basic concepts of tilting theory, as well as the variety of applications. It contains a collection of key articles, which together form a handbook of the subject, and provide both an introduction and a reference for newcomers and experts alike.

Handbook of Tilting Theory. London Mathematical Society Lecture Notes Series vol. 332

ANGELERI, LIDIA;
2006-01-01

Abstract

Tilting theory originates in the representation theory of finite dimensional algebras. Today, the subject is of much interest in various areas of mathematics, such as finite and algebraic group theory, commutative and non-commutative algebraic geometry, and algebraic topology. The aim of this book is to present the basic concepts of tilting theory, as well as the variety of applications. It contains a collection of key articles, which together form a handbook of the subject, and provide both an introduction and a reference for newcomers and experts alike.
2006
9780521680455
tilting theory; derived categories; weighted projective line; Fourier-Mukai transforms; algebraic group; stable homotopy category; representation theory of finite groups.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/326066
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