Conference abstracts
Session S06 - Algebraic Combinatorics
July 26, 15:30 ~ 15:55
The generalized lifting property of Bruhat intervals
Paolo Sentinelli
Universidad de Chile, Chile - paolosentinelli@gmail.com
The so called "lifting property" characterizes the Bruhat order of a Coxeter group, as V. V. Deodhar proved in 1977. E. Tsukerman and L. Williams in the article "Bruhat interval polytopes" (Advances in Mathematics, 2015) prove a "generalized lifting property" of the Bruhat order for the symmetric group. We investigate the case of an arbitrary Coxeter group.
Joint work with Fabrizio Caselli (Università di Bologna, Italy).