Diagrammatic Algebra
Diagrammatic Algebra provides the intuition and tools necessary to address some of the key questions in modern representation theory, chief among them Lusztig’s conjecture. This book offers a largely self-contained introduction to diagrammatic algebra, culminating in an explicit and entirely diagram...
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| Format: | Elektronički e-knjiga |
| Jezik: | engleski |
| Izdano: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Izdanje: | 1st ed. 2025. |
| Serija: | Universitext,
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| Teme: | |
| Online pristup: | https://doi.org/10.1007/978-3-031-88801-4 |
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- Part I: Groups
- 1 Symmetries
- 2 Coxeter groups and the 15 puzzle
- 3 Composition series
- 4 Platonic and Archimedean solids and special orthogonal groups
- Part II: Algebras and representation theory
- 5 Non-invertible symmetry
- 6 Representation theory
- Part III: Combinatorics
- 7 Catalan combinatorics within Kazhdan–Lusztig theory
- 8 General Kazhdan—Lusztig theory
- Part IV: Categorification
- 9 The diagrammatic algebra for Sₘ × Sₙ ≤ Sₘ₊ₙ
- 10 Lusztig’s conjecture in the diagrammatic algebra H(W,P)
- Part V: Group theory versus diagrammatic algebra
- 11 Reformulating Lusztig’s and Andersen’s conjectures
- 12 Hidden gradings on symmetric groups
- 13 The 𝑝-Kazhdan–Lusztig theory for Temperley–Lieb algebras.