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The Geometric Surgery Obstruction Group and Surgery Obstruction
This chapter is the equivalent to Chapter 9 inWall’s book [414].We give a geometric approach to the L-groups and the surgery obstruction based on...
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The Galois action on the lower central series of the fundamental group of the Fermat curve
Information about the absolute Galois group G K of a number field K is encoded in how it acts on the étale fundamental group π of a curve X defined...
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Galois and the simple group of order 60
In his testamentary letter to Auguste Chevalier, Évariste Galois states that, in modern terminology, the smallest simple group has order 60. No proof...
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Differential Operator Approach to ıquantum Groups and Their Oscillator Representations
For a quasi-split Satake diagram, we define a modified q -Weyl algebra, and show that there is an algebra homomorphism between it and the...
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Frames with Several Generators Associated with Weyl–Heisenberg Group and Extended Affine Group
We study the construction of Gabor frames and wavelet frames for Weyl–Heisenberg group and extended affine group by using contraction between the...
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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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Racah Coefficients for the Group SL(2,ℝ)
The paper is devoted to the derivation of a universal integral representation for 6 j -symbols, or Racah coefficients, for the tensor product of three...
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Recognizing nullhomotopic maps into the classifying space of a Kac–Moody group
This paper extends certain characterizations of nullhomotopic maps between p -compact groups to maps with target the p -completed classifying space of...
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New and explicit constructions of unbalanced Ramanujan bipartite graphs
The objectives of this article are threefold. Firstly, we present for the first time explicit constructions of an infinite family of unbalanced ...
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Explicit Equations for Exterior Square of the General Linear Group
Several explicit systems of equations defining the exterior square of the general linear group ⋀ 2 GL n as affine group scheme are presented. Algebraic...
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The Martin boundary of an extension by a hyperbolic group
We prove uniform Ancona—Gouëzel—Lalley inequalities for an extension by a hyperbolic group G of a Markov map which allows to deduce that the visual...
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Group schemes and motivic spectra
By a theorem of Mandell, May, Schwede and Shipley [21] the stable homotopy theory of classical S 1 -spectra is recovered from orthogonal spectra. In...
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Some unexpected phenomena in the Franke filtration of the space of automorphic forms of the general linear group
In his famous paper [11], J. Franke has defined a certain finite filtration of the space of automorphic forms of a general reductive group, which...
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On Jacobi forms, and explicit evaluations of some trigonometric sums
We prove a generalized distribution identity for the powers of some Jacobi forms, with applications to the theory of trigonometric sums.
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Dispersion and Group Analysis of Dusty Burgers Equations
AbstractWe investigate the system of non-stationary one-dimensional equations consisting of a parabolic Burgers equation for the velocity of a...
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An Example of Length Computation for a Group Algebra of a Noncyclic Abelian Group in the Modular Case
We demonstrate that the technique for calculating the length of two-block matrix algebras, developed by the author earlier, can be used to calculate...
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Solving orthogonal group synchronization via convex and low-rank optimization: tightness and landscape analysis
Group synchronization aims to recover the group elements from their noisy pairwise measurements. It has found many applications in community...
