Book ChapterDOI
Counting symmetry classes of functions by weight and automorphism group
Adalbert Kerber,Karl-Josef Thürlings +1 more
- pp 191-211
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The article was published on 1982-01-01. It has received 13 citations till now. The article focuses on the topics: Inner automorphism & Outer automorphism group.read more
Citations
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Book ChapterDOI
Cellular Rings and Groups of Automorphisms of Graphs
TL;DR: In this article, the authors present a survey of some results of Soviet mathematicians related to applications of association schemes in the first part of the book [Ba 5] and the second and third parts of it in the Russian edition [K1 9].
Journal ArticleDOI
Unit subduced cycle indices for combinatorial enumeration
TL;DR: Several properties of USCIs are discussed by clarifying the relationship between double cosets and the subduction of coset representations, which gives an alternative formulation of the USCIs.
Journal ArticleDOI
Sphericity beyond topicity in characterizing stereochemical phenomena. Novel concepts based on coset representations and their subductions
TL;DR: In this paper, the coset representation (CR) notation was proposed for comprehending stereochemical phenomena in order to bring out a more systematized format to conventional concepts and terminologies.
Journal ArticleDOI
Characteristic Monomial Tables for Enumeration of Achiral and Chiral Isomers
TL;DR: In this article, the characteristic monomial table of an achiral group is applied to combinatorial enumeration of the following types: (1) chiral isomers and enantiomeric pairs, (2) isomers of chiral groups, (3) enantiomic pairs, and (4) isomeric isomers.
Journal ArticleDOI
Redfield's lost paper in a modern context
TL;DR: An alternative proof of the main results of the preceding paper by J. Howard Redfield is provided in modern terminology because of the delay of over forty years between the submission and publication of his lost paper.
References
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MonographDOI
The representation theory of the symmetric group
Gordon James,Adalbert Kerber +1 more
TL;DR: In this paper, the authors propose a representation theory of symmetric groups and their young subgroups, which is based on the notion of irreducible matrix representations of groups.