Involution words are variations of reduced words for twisted involutions in Coxeter groups.
They arise naturally in the study of the Bruhat order, of certain Iwahori–Hecke algebra …

The W-set of an element of a weak order poset is useful in the cohomological study of the
closures of spherical subgroups in generalized flag varieties. We explicitly describe in a …

Involution words are variations of reduced words for involutions in Coxeter groups, first
studied under the name of “admissible sequences” by Richardson and Springer. They are …

The involution Stanley symmetric functions are the stable limits of the analogs of Schubert
polynomials for the orbits of the orthogonal group in the flag variety. These symmetric …

Let $(W, S) $ be a Coxeter system and $\ast $ be an automorphism of $ W $ with order $\leq
2$ such that $ s^{\ast}\in S $ for any $ s\in S $. Let $ I_ {\ast} $ be the set of twisted …

There are left and right actions of the 0-Hecke monoid of the affine symmetric group S˜ n on
involutions whose cycles are labelled periodically by nonnegative integers. Using these …

We describe an algorithm to identify a minimal set of" braid relations" which span and
preserve all sets of involution words for twisted Coxeter systems of finite or affine type. We …

There is a natural analogue of weak Bruhat order on the involutions in any Coxeter group.
The saturated chains of intervals in this order correspond to reduced words for a certain set …

Extending results of Wyser, we determine formulas for the equivariant cohomology classes
of closed orbits of certain families of spherical subgroups of $ GL_n $ on the flag variety …

Suppose K⊆ GL (n, C) is a closed subgroup which acts on the complete flag variety with
finitely many orbits. When K is a Borel subgroup, these orbits are Schubert cells, whose …