WebJun 12, 2024 · In [E. Tsukerman and L. Williams, {\em Bruhat Interval Polytopes}, Advances in Mathematics, 285 (2015), 766-810] it is shown that every Bruhat interval of the symmetric group satisfies the so ... Webpolytopes and regular CW-spheres, and Bruhat intervals in Coxeter groups. We review the two algebraic approaches to ag enumeration { one essentially as a quotient of the ...
Toric Bruhat interval polytopes - ScienceDirect
WebAll of these results can be generalized to the positive parts of Schubert cells. A useful tool in our proofs is the fact that our polytopes are isomorphic to certain Bruhat interval polytopes. Conversely, our results on bridge polytopes allow us to deduce some corollaries about the structure of Bruhat interval polytopes. References sharechat videos telugu songs download
Combinatorial invariance for elementary intervals - ResearchGate
WebJul 31, 2011 · We associate a quasisymmetric function to any Bruhat interval in a general Coxeter group. This association can be seen to be a morphism of Hopf algebras to the subalgebra of all peak functions, leading to an extension of the cd-index of convex polytopes.We show how the Kazhdan-Lusztig polynomial of the Bruhat interval can be … WebBruhat interval polytopes were studied recently by Kodama and the second author, in the context of the Toda lattice and the moment map on the flag variety. In this paper we study combinatorial aspects of Bruhat interval polytopes. For example, we give an inequality description and a dimension formula for Bruhat interval polytopes, and prove ... WebAny reductive group G is spherical with respect to the action of G × G by left and right multiplication from the Bruhat decomposition. ... is a closed interval ... [34,35] on algebraic moment polytopes and anticanonical divisors of Fano spherical varieties. For the convenience of the reader, we provide a sketch of the proof. Proof. sharechat video funny