Type-A Soergel Bimodules and Hecke Categorification — Examples
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The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
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✓ 4 results · all verified · 1 also independently AI-judged
Every result on this page is machine-checked by a proof checker and read in full and owner-audited; the judge is an additional, independent cross-model AI review of the proofs. The 3 not AI-judged were verified by owner audit (typically over a confirmed judge false positive), not failures.
1 · Prerequisites
Abstract Algebra
- Binary Operations, Monoids, Groups and Subgroups
- Cosets, Index and Lagrange's Theorem
- Free Groups and Presentations
- Free Modules, Exact Sequences, Projective and Injective Modules
- Group Actions, Orbits, Stabilisers and Cayley's Theorem
- Group Homomorphisms and the Isomorphism Theorems
- Ideals, Quotient Rings and the Isomorphism Theorems for Rings
- Modules, Submodules, Quotient Modules and the Isomorphism Theorems
- Normal Subgroups and Quotient Groups
- Polynomial Rings, the Division Algorithm and Roots
- Rings, Subrings, Integral Domains and Fields
- Symmetric Polynomials and the Fundamental Theorem of Symmetric Functions
- Tensor Products of Modules
- The Field of Fractions and Localisation
Braid Groups
Category Theory
Commutative Algebra
Coxeter Groups
Homological Algebra
Real Analysis
2 · Logical flowchart
3 · Items
Example
The rank-one Soergel category
Example
The type A₂ rank-two Soergel decomposition
Example
The Hecke quadratic relation from the Soergel square
Counterexample