Lectures on Algebraic Categorification

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	FrontmatterDownload pp. i–iv
	PrefaceDownload p. v
	ContentsDownload pp. vii–ix
1	Basics: decategorification and categorificationpp. 1–7
2	Basics: from categorification of linear maps to 2-categoriespp. 9–15
3	Basics: 2-representations of finitary 2-categoriespp. 17–23
4	Category $O$ : definitionspp. 25–32
5	Category $O$ : projective and shuffling functorspp. 33–39
6	Category $O$ : twisting and completionpp. 41–46
7	Category $O$ : grading and combinatoricspp. 47–53
8	$S_{n}$ -categorification: Soergel bimodules, cells and Specht modulespp. 55–60
9	$S_{n}$ -categorification: (induced) cell modulespp. 61–66
10	Category $O$ : Koszul dualitypp. 67–73
11	$sl_{2}$ -categorification: simple finite-dimensional modulespp. 75–80
12	Application: categorification of the Jones polynomialpp. 81–86
13	$sl_{2}$ -categorification of Chuang and Rouquierpp. 87–92
14	Application: blocks of $F [S_{n}]$ and Broué’s conjecturepp. 93–98
15	Applications of $S_{n}$ -categorificationspp. 99–104
16	Exercisespp. 105–107
	Bibliographypp. 109–115
	Indexpp. 117–119