Results 21 to 30 of about 1,287 (264)
Anchors of irreducible characters [PDF]
Journal of Algebra, 2017 Given a prime number $p$, every irreducible character $χ$ of a finite group $G$ determines a unique conjugacy class of $p$-subgroups of $G$ which we will call the anchors of $χ$. This invariant has been considered by L. Barker in the context of finite $p$-solvable groups.
Kessar, R.; id_orcid 0000-0002-1893-4237 +2 more
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On the irreducible characters of Suzuki p-groups
Journal of Algebra and Its Applications, 2022 In this paper, we completely determine the irreducible characters of the four families of Suzuki [Formula: see text]-groups.
Wendi Di, Tao Feng, Zhiwen He
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Algorithmically Distinguishing Irreducible Characters of the Symmetric Group [PDF]
The Electronic Journal of Combinatorics, 2021 Suppose that $\chi_\lambda$ and $\chi_\mu$ are distinct irreducible characters of the symmetric group $S_n$. We give an algorithm that, in time polynomial in $n$, constructs $\pi\in S_n$ such that $\chi_\lambda(\pi)$ is provably different from $\chi_\mu(\pi)$. In fact, we show a little more.
Timothy Y. Chow, Jennifer Paulhus
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On irreducible characters of the Iwahori-Hecke algebra in type A [PDF]
Journal of Algebra, 2022 We use vertex operators to compute irreducible characters of the Iwahori-Hecke algebra of type $A$. Two general formulas are given for the irreducible characters in terms of those of the symmetric groups or the Iwahori-Hecke algebras in lower degrees. Explicit formulas are derived for the irreducible characters labeled by hooks and two-row partitions ...
Naihuan Jing, Ning Liu
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Spin Characters' Decomposition Matrices of S27, S28modulo, p=13
Ibn Al-Haitham Journal for Pure and Applied SciencesIn this study, when the field characteristic is 13, we calculate decomposition matrices for the spin characters and which are broken down into blocks, where the decomposition matrices are connected between irreducible spin characters and irreducible
Ahmed H. Jassim, Saeed A. Taban
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Evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 For irreducible characters $\{ \chi_q^{\lambda} | \lambda \vdash n\}$ and induced sign characters $\{\epsilon_q^{\lambda} | \lambda \vdash n\}$ of the Hecke algebra $H_n(q)$, and Kazhdan-Lusztig basis elements $C'_w(q)$ with $w$ avoiding the pattern 312,
Sam Clearman +3 more
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Irreducible Products of Characters
Journal of Algebra, 2000 Let \(G\) be a finite group, \(\alpha,\beta\in\text{Irr}(G)\). In this paper the author asks when it can happen that the product \(\alpha\beta\in\text{Irr}(G)\). He considers the most interesting case where \(\alpha\) and \(\beta\) are faithful. ``We have been unable to find a noncyclic solvable example (with irreducible \(\alpha\beta\)), however, and ...
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The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We classify irreducible σ-twisted modules for the N = 1 super triplet vertex operator superalgebra SW(m) introduced recently [Adamovic D., Milas A., Comm. Math. Phys., to appear, arXiv:0712.0379].
Drazen Adamovic, Antun Milas
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On the Irreducible Characters of Camina Triples
پژوهشهای ریاضی, 2020 The Camina triple condition is a generalization of the Camina condition in the theory of finite groups. The irreducible characters of Camina triples have been verified in the some special cases.
Javad Bagherian
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Character expansiveness in finite groups [PDF]
International Journal of Group Theory, 2013 We say that a finite group $G$ is conjugacy expansive if for anynormal subset $S$ and any conjugacy class $C$ of $G$ the normalset $SC$ consists of at least as many conjugacy classes of $G$ as$S$ does.
Attila Maroti +2 more
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