Examples of using Coxeter in English and their translations into Russian
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The pair(W, S)is a Coxeter system.
Coxeter was the main driving force behind the work.
The chromatic number of the Coxeter graph is 3.
It has Coxeter diagram, and symmetry, order 72.
Its Schläfli symbol is{∞}, and Coxeter diagram.
People also translate
Coxeter calls these cases"improper" tessellations.
The rectilinear crossing number of the Coxeter graph is 11.
Coxeter represents these groups by the following symbols.
There are many infinite hyperbolic Coxeter groups.
Coxeter calls these generalized cubic honeycombs for n>2.
The highest paracompact hyperbolic Coxeter group is rank 10.
The Coxeter number is the order of any Coxeter element;
However, there are multiple non-equivalent definitions for hyperbolic Coxeter groups.
Coxeter named this family as δn+1 for an n-dimensional honeycomb.
The(6 3 3) triangle group, Coxeter group, orbifold(*633) contains these uniform tilings.
Coxeter defines other groups with anti-unitary constructions, for example these three.
The bracket notation from Coxeter is a linearized representation of the Coxeter group.
Coxeter went up to Trinity College, Cambridge in 1926 to read mathematics.
The same year,invited by Harold Scott MacDonald Coxeter, he accepted a position at the University of Toronto.
He and Coxeter had worked together on many mathematical problems.
Note that for rank 2, all negative determinant Cartan matrices correspond to hyperbolic Coxeter group.
In his youth, Coxeter composed music and was an accomplished pianist at the age of 10.
The regular complex polytopes were discovered by Shephard(1952), andthe theory was further developed by Coxeter 1974.
Coxeter named them after Édouard Goursat who first looked into these domains.
Dynkin diagrams are closely related to Coxeter diagrams of finite Coxeter groups, and the terminology is often conflated.
Coxeter enumerated this list of regular complex polygons in C 2{\displaystyle\mathbb{C}^{2.
The LCF notation is a notation by Joshua Lederberg, Coxeter and Frucht, for the representation of cubic graphs that are Hamiltonian.
Coxeter gives a symbol{p, q 2, while McMullen writes{p, q,…}h/2 with h as the coxeter number.
Paracompact(also called noncompact)hyperbolic Coxeter groups contain affine subgroups and have asymptotic simplex fundamental domains.
Coxeter gives these symmetry as+ which he says is isomorphic to his abstract group 2p, 2q|2,r.
