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pro vyhledávání: '"Representation theory of finite groups"'
Akademický článek
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Autor:
Omar Tout
Publikováno v:
Discrete Mathematics Letters, Vol 10, Pp 35-40 (2022)
Externí odkaz:
https://doaj.org/article/6061f400cae343ccada406b939e02b40
Akademický článek
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Autor:
Tingjie Zhou, Zhihong Xia
Publikováno v:
Journal of Differential Equations. 310:302-326
We introduce an algebraic method to study local stability in the Newtonian n-body problem when certain symmetries are present. We use representation theory of groups to simplify the calculations of certain eigenvalue problems. The method should be ap
Publikováno v:
Journal of Algebra. 585:422-446
We introduce and discuss an elementary tool from representation theory of finite groups for constructing linear codes invariant under a given permutation group G. The tool gives theoretical insight as well as a recipe for computations of generator ma
Autor:
Shuchao Li, Jing Huang
Publikováno v:
Journal of Algebraic Combinatorics. 54:1047-1063
A graph is said to be distance-integral if every eigenvalue of its distance matrix is an integer. In this paper, we study the distance spectrum of abelian Cayley graphs and a class of non-abelian Cayley graphs, namely Cayley graphs over the dicyclic
Autor:
Martin Kreuzer, Dilip P. Patil
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 62:475-494
The Burnside ring $$\mathcal {B}(G)$$ of a finite group G, a classical tool in the representation theory of finite groups, is studied from the point of view of computational algebra. In the first part (cf. Kreuzer and Patil, Beitr Algebra Geom 58:427
Autor:
Jing Huang, Shuchao Li
Publikováno v:
Journal of Algebraic Combinatorics. 53:921-943
A graph is said to be integral (resp. distance integral) if all the eigenvalues of its adjacency matrix (resp. distance matrix) are integers. Let H be a finite abelian group, and let $${\mathscr {H}}=\langle H,b\,|\,b^2=1,bhb=h^{-1},h\in H\rangle $$
Autor:
Henning Krause
Modern developments in representation theory rely heavily on homological methods. This book for advanced graduate students and researchers introduces these methods from their foundations up and discusses several landmark results that illustrate their
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7fd278b593e67da3288cfea1b25ef1f1
https://doi.org/10.1017/9781108979108
https://doi.org/10.1017/9781108979108
Autor:
Bicheng Zhang, Yiqin He
Publikováno v:
Journal of Combinatorial Theory, Series A. 161:508-536
The concept of directed strongly regular graphs (DSRG) was introduced by Duval in 1988 [3] . In the present paper, we use representation theory of finite groups in order to investigate the directed strongly regular Cayley graphs. We first show that a