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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：First-Order Aspects of Coxeter Groups
考克斯特群 一阶方面 非阿贝尔自由群
2023/5/5
Since the work of Sela, and Kharlampovich & Myasnikov on Tarski’s problem for non-abelian free groups, the model theoretic analysis of classes of groups arising from combinatorial and geometric group ...
Coxeter groups and Hopf algebras I
Coxeter group descent global descent hyperplane arrangement
2015/8/14
In the study of a mathematical system, algebraic structures allow for the discovery of
more information. This is the motor behind the success of many areas of mathematics
such as algebraic geometry,...
Automorphisms of geometric structures associated to Coxeter groups
Automorphisms geometric structures associated Coxeter groups
2012/3/1
In this paper, we consider the automorphism groups of the Cayley graph with respect to the Coxeter generators and the Davis complex of an arbitrary Coxeter group. We determine for which Coxeter groups...
Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups
Birational automorphism groups movable cone theorem Calabi-Yau manifolds of Wehler type
2011/9/22
Abstract: We prove that the birational automorphism group of any Calabi-Yau manifold given by a generic hypersurface of multi-degree two in $({\mathbf P^1})^{n+1}$ is isomorphic to the universal Coxet...
Lusztig's $a$ function for Coxeter groups of rank 3
Lusztig's $a$ function Coxeter groups of rank 3 Quantum Algebra
2011/9/1
Abstract: We show that Lusztig's $a$-function of a Coxeter group is bounded if the rank of the Coxeter group is 3.
Branching of the W(H4) Polytopes and Their Dual Polytopes under the Coxeter Groups W(A4) and W(H3) Represented by Quaternions
Dual Polytopes the W(H4) Polytopes Quaternions
2011/7/26
Abstract: 4-dimensional H4 polytopes and their dual polytopes have been constructed as the orbits of the Coxeter-Weyl group W(H4) where the group elements and the vertices of the polytopes are represe...
Cells in Coxeter groups I
Cells Coxeter groups I
2011/1/17
In their seminal paper [KL1] Kazhdan and Lusztig introduced the notion of cells.These are equivalence classes in a Coxeter group W and corresponding Hecke algebra H that can be defined combinatorially...
Lengths of Subsets in Coxeter Groups。