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单词 Coxeter Group
释义

Coxeter Group

A group generated by the elements for , ..., subject to


where are the elements of a Coxeter Matrix. Coxeter used the Notation for theCoxeter group generated by the nodes of a Y-shaped Coxeter-Dynkin Diagram whose three arms have , , and Edges. A Coxeter group of this form is finite Iff


See also Bimonster


References

Arnold, V. I. ``Snake Calculus and Combinatorics of Bernoulli, Euler, and Springer Numbers for Coxeter Groups.'' Russian Math. Surveys 47, 3-45, 1992.


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