Representation theory and complex geometry


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Representation theory II

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RT1: Representation Theory Basics

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Hodge Theory, Complex Geometry, and Representation Theory

I love the book's aesthetic preference for geometry. See for example the approach to the Bruhat decomposition via Bialinicki-Birula where you can imagine a really nice picture rather than the computational BN pairs. The book's treatment of its subjects fall along this line: instead of the combinatorial approach to the representation theory of the symmetric group, we use Springer's geometric constructions of these representations which gives geometric meaning to the underlying finite group repr I love the book's aesthetic preference for geometry. The book's treatment of its subjects fall along this line: instead of the combinatorial approach to the representation theory of the symmetric group, we use Springer's geometric constructions of these representations which gives geometric meaning to the underlying finite group representation theory.

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Routinely, CG eschew generality to make the picture more concrete, or add explanatory comments before getting to the formal details of the proof. These are really helpful for learning.

There are no discussion topics on this book yet. Javascript is not enabled in your browser. Enabling JavaScript in your browser will allow you to experience all the features of our site. Learn how to enable JavaScript on your browser. There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory. Both are enlivened by examples related to groups As a number of results [are] due to the authors, one finds some of the original excitement.

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Representation theory and complex geometry Representation theory and complex geometry
Representation theory and complex geometry Representation theory and complex geometry
Representation theory and complex geometry Representation theory and complex geometry
Representation theory and complex geometry Representation theory and complex geometry
Representation theory and complex geometry Representation theory and complex geometry

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