搜索结果: 31-45 共查到“数学 Algebra”相关记录171条 . 查询时间(0.024 秒)
Noncommutative spectral synthesis for the involutive Banach algebra associated with a topological dynamical system
Involutive Banach algebra crossed product structure of ideals spectral synthesis topological dynamical system
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2012/6/12
If X is a compact Hausdorff space, supplied with a homeomorphism, then a crossed product involutive Banach algebra is naturally associated with these data. If X consists of one point, then this algebr...
A New Graded Algebra Structure on Differential Polynomials: Level Grading and its Application to the Classification of Scalar Evolution Equations in 1+1 Dimension
New Graded Algebra Structure Differential Polynomials Level Grading Classification of Scalar Evolution Equations 1+1 Dimension
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2012/4/26
We define a new grading, that we call the "level grading", on the algebra of polynomials generated by the derivatives $u_{k+i}=\partial^{k+i}u/\partial x^{k+i}$ over the ring $K^{(k)}$ of $C^{\infty}$...
Loewy filtration and quantum de Rham cohomology over quantum divided power algebra
quantum divided power algebra Loewy filtration socle radical rigidity q-differentials
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2012/4/18
As a continuation of \cite{HU}, we explore the submodule structures of the quantum divided power algebra $\mathcal{A}_q(n)$ introduced in \cite{HU} and its truncated objects $\mathcal{A}_q(n, \bold m)...
On the Commuting variety of a reductive Lie algebra and other related varieties
polynomial algebra complex commuting variety desingularization Gorenstein Cohen-Macaulay rational singularities cohomology
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2012/4/18
In this note, one discusses about some varieties which are constructed analogously to the isospectral commuting varieties. These varieties are subvarieties of varieties having very simple desingulariz...
The C*-algebra of an affine map on the 3-torus
C*-algebra affine map 3-torus Operator Algebras
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2012/4/17
We study the C*-algebra of an affine map on a compact abelian group and give necessary and sufficient conditions for strong transitivity when the group is a torus. The structure of the C*-algebra is c...
Smale's Fundamental Theorem of Algebra reconsidered
Smale's Fundamental Theorem Algebra reconsidered Numerical Analysis Algebraic Geometry
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2012/4/17
In his 1981 Fundamental Theorem of Algebra paper Steve Smale initiated the complexity theory of finding a solution of polynomial equations of one complex variable by a variant of Newton's method. In t...
清华大学博士后张杰: On the cluster category of a marked surface&On the cluster algebra of a marked surface
清华大学 博士后张杰 cluster category marked surface&On cluster algebra
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2012/1/5
This is a joint work with Thomas Brustle. We study the cluster category C(S,M) of a marked surface (S,M). We explicitly describe the indecomposable objects in C(S,M) as homotopy classes of curves in (...
Modulation and natural valued quiver of an algebra
Modulation natural valued quive algebra
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2018/4/19
The concept of modulation is generalized to pseudo-modulation and its subclassesincluding pre-modulation, generalized modulation and regular modulation. The moti-
vation is to deˉne the valued analog...
Randomized Communication Complexity for Linear Algebra Problems over Finite Fields
communication complexity streaming, matrix singularity determinant
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2012/12/3
Finding the singularity of a matrix is a basic problem in linear algebra. Chu and Schnitger first considered this problem in the communication complexity model, in which Alice holds the first half of ...
The Hopf algebra of odd symmetric functions
odd symmetric functions Hopf algebra Quantum Algebra
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2011/9/22
Abstract: We consider a q-analogue of the standard bilinear form on the commutative ring of symmetric functions. The q=-1 case leads to a Z-graded Hopf superalgebra which we call the algebra of odd sy...
A survey of quantum Teichmüller space and Kashaev algebra
shear coordinate quantum Teichmuller space Kashaev coordinates generalized Kashaev algebra
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2011/9/20
Abstract: In this chapter, we survey the algebraic aspects of quantum Teichm\"uller space, generalized Kashaev algebra and a natural relationship between the two algebras.
Affine SU(N) algebra from wall-crossings
wall-crossings SU(N) algebra High Energy Physics - Theory
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2011/10/9
Abstract: We study the relation between the instanton counting on ALE spaces and the BPS state counting on a toric Calabi-Yau three-fold. We put a single D4-brane on a divisor isomorphic to A_{N-1}-AL...
Ext algebra of Nichols algebras of type $A_2$
Nichols algebra Ext algebra Quantum Algebra
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2011/9/19
Abstract: We give the full structure of the Ext algebra of a Nichols algebra of type $A_2$ by using the Hochschild-Serre spectral sequence. As an application, we show that the pointed Hopf algebras $u...
The algebra of factorial polynomials
factorial polynomials Analysis of PDEs
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2011/9/15
Abstract: We discuss the formal aspects of the factorial polynomials and of the associated series. We develop the theory using the formalism of quasi-monomials and prove the usefulness of the method f...
Esparsidade, Estrutura, Escalamento e Estabilidade em Algebra Linear Computacional
Algebra Linear Computacional Computation
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2011/9/21
Abstract: Sparsity, Structure, Scaling and Stability in Computational Linear Algebra - Textbook from the IX School of Computer Science, held on July 24-31 of 1994 at Recife, Brazil. Esparsidade, Estru...