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Representation theory of finite abelian groups applied to a linear diatomic crystal
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Orbifolds and finite group representations
Published 2001-01-01“…We present our recent understanding on resolutions of Gorenstein orbifolds, which involves the finite group representation theory. We concern only the quotient singularity of hypersurface type. …”
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Finite family groups for fermionic and leptoquark mixing patterns
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Equivariant Perturbation in Gomory and Johnson’s Infinite Group Problem. VII. Inverse Semigroup Theory, Closures, Decomposition of Perturbations
Published 2022-09-01“…In this self-contained paper, we present a theory of the piecewise linear minimal valid functions for the 1-row Gomory–Johnson infinite group problem. …”
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BPS states, conserved charges and centres of symmetric group algebras
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Some Results on Neutrosophic Group
Published 2023-01-01“…We also present a similar application to the fundamentals of group theory. We define and study the so-called level subgroups of a neutrosophic subgroup in order to characterize neutrosophic subgroups of finite cyclic groups in a similar way.…”
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Eigenvalues of Relatively Prime Graphs Connected with Finite Quasigroups
Published 2024-01-01“…Many studies have focused on the spectral properties of simple graphs connected to associative algebras like finite groups and rings, but the same research direction remains unexplored for loop groups and quasigroups. …”
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Automorphisms of Regular Wreath Product 𝑝-Groups
Published 2009-01-01“…We also present a short new proof, based on representation theory, for determining the order of the automorphism group Aut(𝑃), where 𝑃 is the regular wreath product of a finite cyclic 𝑝-group by an arbitrary finite 𝑝-group.…”
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One-dimensional QCD at finite density and its ’t Hooft-Veneziano limit
Published 2025-01-01“…Abstract An exact solution of one-dimensional lattice gauge theory at finite temperature and non-zero chemical potential is reviewed for the gauge groups G = Z(N), U(N), SU(N) for all values of N and the number of fermion flavors N f . …”
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Finding product sets in some classes of amenable groups
Published 2025-01-01“…In this paper, we extend this result to several important classes of amenable groups, including all finitely generated virtually nilpotent groups and all abelian groups $(G,+)$ with the property that the subgroup $2G := \{g+g : g\in G\}$ has finite index. …”
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Improvement on Structural Forms of Pile Group Foundations of Deepwater Bridges
Published 2019-01-01“…Then, a pile group foundation is taken as the research object, and different pile lengths ranging from 16 m to 46 m are considered. …”
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A Staged Finite-Time Control Strategy for Formation of Underactuated Unmanned Surface Vehicles
Published 2021-01-01“…The formation control issue for a group of underactuated unmanned surface vehicles (USVs) is discussed in the paper, and a staged finite-time control strategy for the USVs is proposed. …”
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Entanglement asymmetry and symmetry defects in boundary conformal field theory
Published 2025-01-01“…By leveraging 2D boundary conformal field theory (BCFT), we investigate the symmetry breaking for both finite and compact Lie groups. …”
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The Projective Character Tables of a Solvable Group 26:6×2
Published 2019-01-01“…These tables become very useful if one wants to construct the ordinary character table of G¯ by means of Fischer–Clifford theory. The method presented here is very effective to compute the irreducible projective character tables of a finite soluble group of manageable size.…”
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Three-Dimensional Prescribed-Time Pinning Group Cooperative Guidance Law
Published 2021-01-01“…Firstly, combining a prescribed-time scaling function with pinning group consensus theory, the prescribed-time consensus-based cooperative guidance law is proposed. …”
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Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
Published 2020-01-01“…This generalizes the previously observed cancellation of weight-2 terms in the superconformal theory, where Nf = 2Nc for gauge group SU(Nc). The subtraction scheme follows naturally both from general IR factorization principles and from an integrand-level analysis of divergences in this amplitude. …”
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A presentation of the torus-equivariant quantum K-theory ring of flag manifolds of type A, Part II: quantum double Grothendieck polynomials
Published 2025-01-01“…The main ingredient in our proof is an explicit formula expressing the semi-infinite Schubert class associated to the longest element of the finite Weyl group, which is proved by making use of the general Chevalley formula for the torus-equivariant K-group of the semi-infinite flag manifold associated to $SL_{n+1}(\mathbb {C})$ .…”
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