Quotients Of Coxeter Complexes And $P$-Partitions
Published on 30. July 1992
Book
Paperback/Softback
978-0-8218-2525-9 (ISBN)
Description
This work deals with Coxeter complexes, a class of highly symmetrical triangulations of spheres and their quotients by symmetry subgroups. For certain subgroups, the author shows how the combinatorial theory of P-partitions may be used to analyse the quotient and how P-partitions and multipartite P-partitions may be extended to deal with more general classes of subgroups. Applications to combinatorics, topology, and invariant theory of finite groups are discussed.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 255 mm
Width: 180 mm
ISBN-13
978-0-8218-2525-9 (9780821825259)
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Schweitzer Classification
Content
Coxeter complexes and their quotients; P-partitions for other Coxeter groups; Quotients by reflection and alternating subgroups, and their diagonal embeddings; Quotients by a Coxeter element.
This work deals with Coxeter complexes, a class of highly symmetrical triangulations of spheres and their quotients by symmetry subgroups. For certain subgroups, the author shows how the combinatorial theory of P-partitions may be used to analyse the quotient and how P-partitions and multipartite P-partitions may be extended to deal with more general classes of subgroups. Applications to combinatorics, topology, and invariant theory of finite groups are discussed.
This work deals with Coxeter complexes, a class of highly symmetrical triangulations of spheres and their quotients by symmetry subgroups. For certain subgroups, the author shows how the combinatorial theory of P-partitions may be used to analyse the quotient and how P-partitions and multipartite P-partitions may be extended to deal with more general classes of subgroups. Applications to combinatorics, topology, and invariant theory of finite groups are discussed.