Soergel Calculus and Schubert Calculus
Copyright policy )Soergel Calculus and Schubert Calculus
We reduce some key calculations of compositions of morphisms between Soergel bimodules ("Soergel calculus") to calculations in the nil Hecke ring ("Schubert calculus"). This formula has several applications in modular representation theory.
23 pages, many TikZ pictures, best viewed in colour and pdf. v2: very minor changes
- Max Planck Institute for Mathematics Germany
- Max Planck Society Germany
- University of Maryland, College Park United States
Schubert calculus, Classical problems, Schubert calculus, nil Hecke ring, Modular representations and characters, Representations of finite groups of Lie type, Hecke algebras and their representations, Intersection homology and cohomology in algebraic topology, intersection forms, FOS: Mathematics, Soergel bimodules, Representation Theory (math.RT), Mathematics - Representation Theory
Schubert calculus, Classical problems, Schubert calculus, nil Hecke ring, Modular representations and characters, Representations of finite groups of Lie type, Hecke algebras and their representations, Intersection homology and cohomology in algebraic topology, intersection forms, FOS: Mathematics, Soergel bimodules, Representation Theory (math.RT), Mathematics - Representation Theory
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