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THE BASE CHANGE FUNDAMENTAL LEMMA FOR CENTRAL ELEMENTS IN PARAHORIC HECKE ALGEBRAS
PARAHORIC HECKE Algebra
2015/9/29
Let G be an unramified group over a p-adic field F, and let E/F be a finite
unramified extension field. Let θ denote a generator of Gal(E/F). This paper concerns the
ma...
SPLITTING FIELDS OF CHARACTERISTIC POLYNOMIALS OF RANDOM ELEMENTS IN ARITHMETIC GROUPS
SPLITTING FIELDS CHARACTERISTIC POLYNOMIALS RANDOM ELEMENTS ARITHMETIC GROUPS
2015/8/26
We discuss rather systematically the principle, implicit in earlier works, that for a “random” element in an arithmetic subgroup of a (split, say) reductive algebraic group over a number field, the sp...
Abstract: Using the method of commutative algebra, we show that the set $\mathfrak{R}$ of nilpotent elements of a vertex algebra $V$ forms an ideal, and $V/\mathfrak{R}$ has no nonzero nilpotent eleme...
Arithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four
monomial ideal, arithmetical rank, projective dimension
2011/8/24
Abstract: Let $I$ be a squarefree monomial ideal of a polynomial ring $S$. In this paper, we prove that the arithmetical rank of $I$ is equal to the projective dimension of $S/I$ when one of the follo...
Jucys-Murphy elements for partition algebras
Partition algebras Jucys–Murphy elements central elements presentation
2010/12/3
An inductive formula is given for a family of elements which are shown to play a role in the partition algebras which is analogous to that played by classical Jucys–Murphy elements in the group algebr...
Modular and lower-modular elements of lattices of semigroup varieties
Semigroup variety lattice of varieties commutative variety
2010/12/3
The paper contains three main results. First, we show that if a commutative semigroup variety is a modular element of the lattice Com of all commutative semigroup varieties then it is either the varie...
We present a method to determine Frobenius elements in arbitrary Galois extensions of global fields, which may be seen as a generalisation of Euler’s criterion. It is a part of the general question ho...
QUADRILATERAL FINITE ELEMENTS FOR PLANAR LINEAR ELASTICITY PROBLEM WITH LARGE LAM$\{'E}$ CONSTANT
Planar linear elasticity optimal error estimates large Lam\'{e} constant locking phenomenon
2007/12/12
In this paper, we discuss the quadrilateral finite element approximation
to the two-dimensional linear elasticity problem associated with a
homogeneous isotropic elastic material. The optimal conver...
PRECONDITIONING HIGHER ORDER FINITE ELEMENTSYSTEMS BY ALGEBRAICMULTIGRID METHOD OF LINEAR ELEMENTS
2007/12/12
We present and analyze a robust preconditioned conjugate gradient
method for the higher order Lagrangian finite element systems of
a class of elliptic problems. An auxiliary linear element
stiffnes...
We examine a simple averaging formula for the gradient
of linear finite elements in $R^d$ whose interpolation order
in the $L^q$-norm is $\Cal O(h^2)$ for $d<2q$ and nonuniform
triangulations. For ...
We introduce a finite element scheme which yields the O(h~4)-superconvergence at nodes when solving a second order elliptic problem. Finite element functions used are globally continuous and bilinear ...
Extreme Points of Certain Subsets of Hermitian Elements in Banach Algebras
Extreme points hermitian elements
2010/2/26
We consider the real Banach spaces H(A) of all hermitian elements of a complex Banach algebra A. We prove that if an even power of a \in N(A) is hermitian, then a is an extreme point of the unit ball ...
Conjugacy Classes of Elliptic Elements in the Picard Group
Conjugacy Classes Elliptic Elements Picard Group
2010/3/1
The Picard group \mathbf{P} is a discrete subgroup of PSL(2,\Bbb{C}) with Gaussian integer coefficients. Here it is shown that the total number of conjugacy classes of elliptic elements of order 2 and...
In this study, we consider the normal subgroups of H'(lq), where H(lq) denotes the Hecke groups. After recalling some results from [2], particularly on the group structure and on the relations with th...