Integral representations of finite groups

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On some integral representations of groups and global irreducibility. [PDF]

International Journal of Group Theory, 2018
Arithmetic aspects of integral representations of finite groups and their irreducibility are considered with a focus on globally irreducible representations and their generalizations to arithmetic rings.
Dmitry Malinin
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On the distance eigenvalues of Cayley graphs

پژوهش‌های ریاضی, 2022
In this paper, graphs are undirected and loop-free and groups are finite. By Cn, Kn and Km,n we mean the cycle graph with n vertices, the complete graph with n vertices and the complete bipartite graph with parts size m and n, respectively.
Majid Arezoomand
doaj

An Integral Riemann-Roch Formula for Induced Representations of Finite Groups [PDF]

Transactions of the American Mathematical Society, 1978
Let H be a subgroup of the finite group G , ξ ...
Evens, Leonard, Kahn, Daniel S.
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Non-commutative matrix integrals and representation varieties of surface groups in a finite group [PDF]

Annales de l'Institut Fourier, 2005
A new formula is established for the asymptotic expansion of a matrix integral with values in a finite-dimensional von Neumann algebra in terms of graphs on surfaces which are orientable or non-orientable.
Mulase, Motohico, Yu, Josephine T.
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Remarks on non-invertible symmetries on a tensor product Hilbert space in 1+1 dimensions

SciPost Physics
We propose an index of non-invertible symmetry operators in 1+1 dimensions and discuss its relation to the realizability of non-invertible symmetries on the tensor product of finite dimensional on-site Hilbert spaces on the lattice. Our index generalizes
Kansei Inamura
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Stratifying integral representations of finite groups

, 2021
All comments ...
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The group-theoretic origin of spin: the reality locus andcohomology of the spin spectrum

Journal of Nigerian Society of Physical Sciences
With the sole physical input that quantum symmetries act projectively on states, this work develops a group-theoretic account of spin as the obstruction to lifting a projective unitary representation to an ordinary one, controlled by two invariants: an ...
Mohammad F. Marashdeh
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Regulator constants of integral representations of finite groups [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 2018
AbstractLet G be a finite group and p be a prime. We investigate isomorphism invariants of $\mathbb{Z}_p$[G]-lattices whose extension of scalars to $\mathbb{Q}_p$ is self-dual, called regulator constants. These were originally introduced by Dokchitser–Dokchitser in the context of elliptic curves.
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Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source

Air‐Pressure–Actuated Vibroacoustic Metamaterial With Tunable Bandgap: Design, Modeling, and Characterization

Advanced Engineering Materials, EarlyView.
This article presents the design, modeling, and characterization of air‐pressure–actuated programmable vibroacoustic metamaterials (PVAMM). The study focuses on leveraging air pressure to dynamically tune resonance frequencies for effective noise attenuation.
William Kaal +2 more
wiley +1 more source