Introduction to Soergel Bimodules. (2020)

• Record Type: Book
• Further Information: Note: By Ben Elias, Shotaro Makisumi, Ulrich Thiel, Geordie Williamson.
• Authors: Makisumi, Shotaro; Thiel, Ulrich; Williamson, Geordie
• Other Names: Elias, Ben
• Contents: Part I The Classical Theory of Soergel Bimodules. - How to Think About Coxeter Groups. - Reflection Groups and Coxeter Groups. - The Hecke Algebra and Kazhdan–Lusztig Polynomials. - Soergel Bimodules. - The 'Classical' Theory of Soergel Bimodules. - Sheaves on Moment Graphs. - Part II Diagrammatic Hecke Category. - How to Draw Monoidal Categories. - Frobenius Extensions and the One-Color Calculus. - The Dihedral Cathedral. - Generators and Relations for Bott–Samelson Bimodules and the Double Leaves Basis. - The Soergel Categorification Theorem. - How to Draw Soergel Bimodules. - Part III Historical Context: Category O and the Kazhdan–Lusztig Conjectures. - Category O and the Kazhdan–Lusztig Conjectures. - Lightning Introduction to Category O. - Soergel's V Functor and the Kazhdan–Lusztig Conjecture. - Lightning Introduction to Perverse Sheaves. - Part IV The Hodge Theory of Soergel Bimodules - Hodge Theory and Lefschetz Linear Algebra. - The Hodge Theory of Soergel Bimodules. - Rouquier Complexes and Homological Algebra. - Proof of the Hard Lefschetz Theorem. - Part V Special Topics. - Connections to Link Invariants. - Cells and Representations of the Hecke Algebra in Type A. - Categorical Diagonalization. - Singular Soergel Bimodules and Their Diagrammatics. - Koszul Duality I. - Koszul Duality II. - The p-Canonical Basis.
• Publisher Details: Cham : Springer International Publishing Imprint: Springer
• Publication Date: 2020
• Extent: 1 online resource
• Subjects: 512; Algebra; Group theory; Categories (Mathematics); Algebra, Homological; Topological groups; Lie groups; Geometry; Geometry, Algebraic
• Languages: English
• ISBNs: 9783030488260; 3030488268
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.