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Finite Dimensional Algebras and Quantum Groups
About this Title
Bangming Deng, Jie Du, Brian Parshall, University of Virginia, Charlottesville, VA and Jianpan Wang
Publication: Mathematical Surveys and Monographs
Publication Year:
2008; Volume 150
ISBNs: 978-0-8218-4186-0 (print); 978-1-4704-1377-4 (online)
DOI: https://doi.org/10.1090/surv/150
MathSciNet review: MR2457938
MSC: Primary 17B37; Secondary 05C20, 05E10, 16G20, 17B67, 20C08
Table of Contents
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Front/Back Matter
Chapters
- 0. Getting started
- 1. Representations of quivers
- 2. Algebras with Frobenius morphisms
- 3. Quivers with automorphisms
- 4. Coxeter groups and Hecke algebras
- 5. Hopf algebras and universal enveloping algebras
- 6. Quantum enveloping algebras
- 7. Kazhdan-Lusztig combinatorics for Hecke algebras
- 8. Cells and representations of symmetric groups
- 9. The integral theory of quantum Schur algebras
- 10. Ringel-Hall algebras
- 11. Bases of quantum enveloping algebras of finite type
- 12. Green’s theorem
- 13. Serre relations in quantum Schur algebras
- 14. Constructing quantum $\mathrm {gl}_n$ via quantum Schur algebras