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The Fundamental Group
We keep on writing I to denote the closed unit interval...
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The Drinfeld–Lusztig Double of a Group Algebra
The following definition is a particular case of a general construction due to Drinfeld [21], which applies to any Hopf k-algebra (see Section 18.3...
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Loops on schemes and the algebraic fundamental group
In this note we give a re-interpretation of the algebraic fundamental group for proper schemes that is rather close to the original definition of the...
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Enumeration Under Group Action
A group \((G,*)\) Group consists of a set G together with a...
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A multiphase eigenvalue problem on a stratified Lie group
We consider a multiphase spectral problem on a stratified Lie group. We prove the existence of an eigenfunction of (2, q )-eigenvalue problem on a...
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A New Boundary of the Map** Class Group
Based on the action of the map** class group on the space of measured foliations, we construct a new boundary of the map** class group and study...
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Topics in group schemes and surfaces in positive characteristic
This paper is based on a series of talks that the author gave at the University of Edinburgh in March 2023 on surfaces in positive characteristic. In...
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Group LASSO for Change-points in Functional Time Series
Multiple change-points estimation for functional time series is studied in this paper. The change-point problem is first transformed into a...
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Group ring valued Hilbert modular forms
In this paper, we study the action of diamond operators on Hilbert modular forms with coefficients in a general commutative ring. In particular, we...
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Operator Group Generated by a One-Dimensional Dirac System
AbstractIn this paper, we construct a strongly continuous operator group generated by a one-dimensional Dirac operator acting in the space
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Group Action on Fuzzy Ideals of Near Rings
In this paper, we introduce the group action on a near ring \(\mathcal {N}\)...
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On the Group Classification of Ideal Gas-Dynamic Relaxing Media
The group analysis of differential equations of ideal gas dynamics is most developed. Earlier, the state equations for thermodynamic parameters were...
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Equicontinuity and Sensitivity of Group Actions
Let ( X, G ) be a dynamical system ( G -system for short), that is, X is a topological space and G is an infinite topological group continuously acting...
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Nonlinear reduction using the extended group finite element method
In this paper, we develop a nonlinear reduction framework based on our recently introduced extended group finite element method. By interpolating...
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Probability of Net Superiority for Comparing Two Groups or Group Means
AbstractThis paper proposes a probabilistic measure for the net superiority of one group (or group mean) over another group (or group mean), named...
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Dimensions of Level-1 Group-Based Phylogenetic Networks
Phylogenetic networks represent evolutionary histories of sets of taxa where horizontal evolution or hybridization has occurred. Placing a Markov...
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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.