Topics in hyperplane arrangements /

510MS
Am512

138312

Aguiar, Marcelo, Topics in hyperplane arrangements / Marcelo Aguiar and Swapneel Mahajan. - Providence : American Mathematical Society, ©2017.
xxiv, 611 pages : illustrations ; 27 cm. - (Mathematical surveys and monographs ; v 226.) Content notes : 1. Hyperplane arrangements --
2. Cones --
3. Lunes --
4. Category of lunes --
5. Reflection arrangements --
6. Braid arrangement and related examples --
7. Descent and lune equations --
8. Distance functions and Varchenko matrix --
9. Birkhoff algebra and Tits algebra --
10. Lie and Zie elements --
11. Eulerian idempotents --
12. Diagonalizability and characteristic elements --
13. Loewy series and Peirce decompositions --
14. Dynkin idempotents --
15. Incidence algebras --
16. Invariant Birkhoff algebra and invariant Tits algebra --
Appendix A. Regular cell complexes --
Appendix B. Posets --
Appendix C. Incidence algebras of posets --
Appendix D. Algebras and molecules --
Appendix E. Bands. 9781470437114 (alk. paper) * Incidence algebras. Algebraic spaces. Hyperspace. Plane geometry. * Mahajan, Swapneel, * Title * Series