搜索结果: 1-15 共查到“数学 Coxeter”相关记录18条 . 查询时间(0.062 秒)
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 ...
日前，北京理工大学数学与统计学院谢迅副研究员在国际权威学术期刊《Advances in Mathematics》上发表题为“Conjectures P1-P15 for Coxeter groups with complete graph”的研究论文。该论文证明了Lusztig猜想P1-P15对完备图Coxeter群成立。
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.
Denominator identity for affine Lie superalgebras with zero dual Coxeter number
Denominator identity affine Lie superalgebras zero dual Coxeter number
2011/2/28
We prove a denominator identity for non-twisted affine Lie superalgebras with zero dual Coxeter number.
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...
Lyashko-Looijenga morphisms and submaximal factorisations of a Coxeter element
Lyashko-Looijenga morphisms submaximal factorisations of Coxeter element
2011/2/22
When W is a finite reflection group, the noncrossing partition lattice NCPW of type W is a rich combinatorial object, extending the notion of noncrossing partitions of an n-gon.
The biHecke monoid of a finite Coxeter group and its representations
Coxeter groups Hecke algebras representation theory blocks of permutation matrices
2011/1/19
For any finite Coxeter group W, we introduce two new objects:its cutting poset and its biHecke monoid. The cutting poset, constructed using a generalization of the notion of blocks in permutation matr...
Coxeter and crystallographic arrangements are inductively free
Coxeter crystallographic arrangements inductively free
2010/11/23
Using the classification of finite Weyl groupoids we prove that crystallographic arrangements, a large subclass of the class of simplicial arrangements which was recently defined, are hereditarily in...
Rational cohomology of the real Coxeter toric variety of type A
Rational cohomology the real Coxeter toric
2010/11/22
The toric variety corresponding to the Coxeter fan of type A can also be described as a De Concini-Procesi wonderful model. Using a general result of Rains which relates cohomology of real De Concini-...
Equivariant multiplicities of Coxeter arrangements and invariant bases
Equivariant multiplicities Coxeter arrangements invariant bases
2010/11/8
Let $\A$ be an irreducible Coxeter arrangement and $W$ be its Coxeter group. Then $W$ naturally acts on $\A$. A multiplicity $\bfm : \A\rightarrow \Z$ is said to be equivariant when $\bfm$ is constant...
We introduce and study a combinatorially defined notion of root basis of a (real) root system of a possibly infinite Coxeter group. Known results on conjugacy up to sign of root bases of certain irred...
Bounding reflection length in an affine Coxeter group
reflection length affine Coxeter group
2010/12/13
In any Coxeter group, the conjugates of elements in
the standard minimal generating set are called reflections and the minimal number of reflections needed to factor a particular element is called it...