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On the Isometry Group of Immortal Homogeneous Ricci Flows
We establish a structure result for the isometry group of non-compact, homogeneous manifolds admitting an immortal homogeneous Ricci flow solution.
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Group Classification of Ideal Gas-Dynamic Relaxing Media by Equivalence Transformations
We solve the main problems of group analysis for differential equations of ideal gas dynamics on assuming that the state equation for thermodynamic...
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A note on the normal complement problem in semisimple group algebras
Let FG be the semisimple group algebra of a finite group G over a finite field F . In this article, we obtain a sufficient condition for which G does...
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The Temperley-Lieb Algebra and the Artin Braid Group
The Temperley-Lieb algebra was originally described in the work of two physicists; Temperley and Lieb. However, this algebra has deep connections to...
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Algebraic Structures in Group-theoretical Fusion Categories
It was shown by Ostrik (Int. Math. Res. Not. 2003 (27), 1507–1520
2003 ) and Natale (SIGMA Symmetry Integrability Geom. Methods Appl. 13 , 0422017 )...
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Rokhlin-Type Properties of Group Actions on Operator Algebras
We give a survey of Rokhlin-type properties of group actions on operator algebras. Though we briefly review the classification of group actions on...
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Tracing the orbitals of the quantum permutation group
Using a suitably noncommutative flat matrix model, it is shown that the quantum permutation group has free orbitals: that is, a monomial in the...
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Modeling Both Pairwise Interactions and Group Effects in Polarization on Interaction Networks
The study of polarization has gained increasing attraction in the past decades. Since observing both opinions and interactions is challenging,...
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Nested Group Testing Procedure
We investigated the false-negative, true-negative, false-positive, and true-positive predictive values from a general group testing procedure for a...
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Discrete quantum walks on the symmetric group
Both the transient and limiting dynamical behavior of classical random walks on non-abelian groups have a well-developed theory utilizing...
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The Riordan Group
The group of Riordan arrays was introduced in 1991 by Shapiro, Getu, Woan, and Woodson [15], with the aim of defining a class of infinite lower...
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A Semi-Markov Approach to Study a Group of Kinesin Motors
We propose a general mathematical and computational approach to study cellular transport driven by a group of kinesin motors. It is a framework for...
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Linear Algebra and Group Theory for Physicists and Engineers
This textbook demonstrates the strong interconnections between linear algebra and group theory by presenting them simultaneously, a pedagogical...
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Stability Analysis and Group Consensus Tracking Predictive Control of Multi-Agent Systems
The issue of stability and group consensus tracking is investigated for the discrete-time heterogeneous networked multi-agent systems with...
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A Database of Group Actions on Riemann Surfaces
The automorphism group of a Riemann surface is an important object in a number of different mathematical fields. An algorithm of Thomas Breuer...