The combinatorics of Coxeter categories
نویسندگان
چکیده
منابع مشابه
Coxeter-Catalan Combinatorics
In this talk we will introduce the new and active topic “CoxeterCatalan combinatorics”. We will survey three trends, namely the nonnesting partitions, noncrossing partitions and cluster complexes, leading to this topic. Some new results and unsolved problems will be given.
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Coxeter complexes are simplicial polytopes derived from certain reflection groups. The type An−1 Coxeter complex is derived from the symmetric group Sn and admits an elegant combinatorial description. Its faces are identified with set compositions and certain combinatorial properties of these compositions can be explained geometrically. Aguiar and Mahajan used this geometry to define a product ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2008
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-08-04376-6