In mathematics, a Coxeter element is an element of an irreducible Coxeter group which is a product of all simple reflections. The product depends on the order ... Definitions · Coxeter elements · Coxeter plane |
Coxeter elements form a distinguished conjugacy class in each finite Euclidean reflection group. This chapter concerns their order. We shall show that, ... |
In mathematics, the longest element of a Coxeter group is the unique element of maximal length in a finite Coxeter group with respect to the chosen generating ... |
Furthermore, we obtain some direct formulae of c(W) for a large family of Coxeter groups, which include all the finite, affine and hyperbolic Coxeter groups. |
15 авг. 2018 г. · The characterization of orbits of roots under the action of a Coxeter element is a fundamental tool in the study of finite root systems and ... |
A Coxeter element of W is by definition a product of all generators s S in any fixed order. We use the notation C(W) to denote the set of all the Coxeter ... |
24 сент. 2017 г. · A finite Coxeter group possesses a distinguished conjugacy class of Coxeter elements. The literature about these is very large, ... |
These elements play an important role in the theory of Coxeter groups, e.g., the determination of polynomial invariants, the Poincar polynomial, the Coxeter ... |
— Let g be a complex simple Lie algebra and let h = h(g) be its Coxeter number. By definition h is the order of the Coxeter element in a Weyl group of g. If / = ... |
30 нояб. 2021 г. · For all infinite families of finite Coxeter groups we prove that the probability a random element is proper goes to zero in the limit. This ... |
Некоторые результаты поиска могли быть удалены в соответствии с местным законодательством. Подробнее... |
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