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Topics in Hyperplane Arrangements
About this Title
Marcelo Aguiar, Cornell University, Ithaca, NY and Swapneel Mahajan, Indian Institute of Technology(IIT), Mumbai, India
Publication: Mathematical Surveys and Monographs
Publication Year:
2017; Volume 226
ISBNs: 978-1-4704-3711-4 (print); 978-1-4704-4254-5 (online)
DOI: https://doi.org/10.1090/surv/226
MathSciNet review: MR3726871
MSC: Primary 52C35; Secondary 05E15, 06A07, 06C10, 17B01, 18G35, 20F55
Table of Contents
Download chapters as PDF
Front/Back Matter
Part I
- Hyperplane arrangements
- Cones
- Lunes
- Category of lunes
- Reflection arrangements
- Braid arrangement and related examples
- Descent and lune equations
- Distance functions and Varchenko matrix
Part II
- Birkhoff algebra and Tits algebra
- Lie and Zie elements
- Eulerian idempotents
- Diagonalizability and characteristic elements
- Loewy series and Peirce decompositions
- Dynkin idempotents
- Incidence algebras
- Invariant Birkhoff algebra and invariant Tits algebra
Appendices
References
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