Coxeter groups and Hopf algebras
by Aguiar, Marcelo, Mahajan, Swapneel
fromFields Institute Monographs
This monograph is aimed at graduate students and researchers in diverse areas of mathematics. It offers a new geometric perspective on the classical theory of connected graded Hopf algebras by extending it to the setting of real reflection arrangements. Discrete geometry, algebr…
Introduction to Soergel bimodules
by Elias, Ben, Makisumi, Shotaro, Thiel, Ulrich, Williamson, Geordie
This book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. On the one hand, these bimodules are fairly elementary objects and explicit c…