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Rigidity of Bott–Samelson–Demazure–Hansen variety for $${\varvec{F}}_{\varvec{4}}$$ and $${\varvec{G}}_{\varvec{2}}$$

, 2020
Let $G$ be a simple algebraic group of adjoint type over $\mathbb{C},$ whose root system is of type $F_{4}.$ Let $T$ be a maximal torus of $G$ and $B$ be a Borel subgroup of $G$ containing $T.$ Let $w$ be an element of Weyl group $W$ and $X(w)$ be the ...
S. Kannan, Pinakinath Saha
semanticscholar   +2 more sources

The boundedness of a weighted Coxeter group with non-3-edge-labeling graph

Journal of Algebra and its Applications, 2019
Let [Formula: see text] be a weighted Coxeter group such that the order [Formula: see text] of the product [Formula: see text] is not 3 for any [Formula: see text] and that [Formula: see text], where [Formula: see text] is the longest element in the ...
Yan Li, Jian-yi Shi
semanticscholar   +1 more source

Structure of conjugacy classes in Coxeter groups

Astérisque, 2020
This paper gives a definitive solution to the problem of describing conjugacy classes in arbitrary Coxeter groups in terms of cyclic shifts. Let $(W,S)$ be a Coxeter system.
T. Marquis
semanticscholar   +1 more source

Multimodal Evaluation of Three NiTi Rotary Systems: Clinical Simulation, Mechanical Testing, and Finite Element Analysis

Dental journal
Objectives: This study aimed to compare the clinical durability, mechanical performance, and stress behavior of three NiTi rotary systems—BlueShaper (Blue), BlueShaper Pro (Dual Wire), and BlueShaper Gold (fully gold-treated NiTi)—through a multimodal ...
Jesus A. Aparicio   +8 more
semanticscholar   +1 more source

The Poisson degeneracy locus of a flag variety

Mathematische Zeitschrift
We present a comprehensive study of the degeneracy loci of the full flag varieties of all complex semisimple Lie groups equipped with the standard Poisson structures.
Élie Casbi, A. Masoomi, M. Yakimov
semanticscholar   +1 more source

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