http://people.mpim-bonn.mpg.de/geordie/aarhus/GR4allSB.pdf WebThis book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. On the one hand, these bimodules are fairly elementary objects and explicit calculations are possible. On the other, they have deep connections …

Soergel Bimodules SpringerLink

WebHard Lefschetz for Soergel Bimodules 7 6.1. Factoring L 8 6.2. Rouquier Complexes 9 References 10 1. Introduction Let us x a Coxeter system (W;S). We begin by recalling … WebBy work of Soergel, the algebra Aonly depends on this W-representation. The theory of Soergel bimodules [Soe92, Soe00, Soe07] allows one more generally to define a graded algebra AW,h for any suitable “reflection faithful realization” h of an arbitrary Coxeter system W. See §2 for background on Soergel bimodules as well as the ... crosby pet center bronx ny

Chapter 24 Singular Soergel Bimodules and Their Diagrammatics

WebSep 27, 2024 · Abstract. In this chapter, we use the diagrammatic descriptions of morphisms between Bott–Samelson bimodules to give diagrammatic descriptions of two different bases for these bimodules. First, we describe the 01-basis, which is constructed by taking an iterated tensor product of a natural basis of B s. The 01-basis is depicted ... WebThe theory of Soergel bimodules began with the work of Wolfgang Soergel in the 1990s and 2000s [161, 162, 164, 165]. Soergel bimodules are certain bimodules over a polynomial ring, and the collection of all such bimodules forms a monoidal category under the tensor product. Soergel bimodules are fairly elementary objects, WebThis paper is an introduction to the fascinating world of Soergel bimodules and it should be accessible to a broad audience. We aim to help the reader feel comfortable with … bugatti customized wallpaper