搜索结果: 1-15 共查到“代数学 Rank”相关记录17条 . 查询时间(0.125 秒)
Kac's Theorem for equipped graphs and for maximal rank representations
Kac's Theorem maximal rank representations Representation Theory
2011/9/22
Abstract: We give two generalizations of Kac's Theorem on representations of quivers. One is to representations of equipped graphs by relations, in the sense of Gelfand and Ponomarev. The other is to ...
K-Theories for Certain Infinite Rank Bundles
K-theory Chern Character Pseudodifferential Operator
2011/9/20
Abstract: Several authors have recently constructed characteristic classes for classes of infinite rank vector bundles appearing in topology and physics. These include the tangent bundle to the space ...
Lusztig's $a$ function for Coxeter groups of rank 3
Lusztig's $a$ function Coxeter groups of rank 3 Quantum Algebra
2011/9/1
Abstract: We show that Lusztig's $a$-function of a Coxeter group is bounded if the rank of the Coxeter group is 3.
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...
We study the linear syzygies of a homogeneous ideal I ⊆ S =Symk(V ), focussing on the graded betti numbers bi,i+1 = dimk Tori(S/I, k)i+1.
Constructions of surface bundles with rank two fundamental groups
Heegaard genus 2-generator group surface bundle
2011/2/28
We give a construction of hyperbolic 3-manifolds with rank two fundamental groups and report an experimental search to find such manifolds.Our manifolds are all surface bundles over the circle with ge...
Homotopy invariance for homology of linear groups: reductions and the rank two case
linear groups the rank two case
2010/11/24
We discuss the problem of homotopy invariance for homology of linear groups. Some reductions we are able to make show that homotopy invariance for linear groups follows from contractibility of a cert...
Grothendieck inequalities for semidefinite programs with rank constraint
Grothendieck inequalities semidefinite programs
2010/11/12
Grothendieck inequalities are fundamental inequalities which are frequently used in many areas of mathematics and computer science. They can be interpreted as upper bounds for the integrality gap betw...
Rank of Projection-Algebraic Representations of Some Differential Operators
Rank of Projection-Algebraic Differential Operators
2010/11/22
The Lie-algebraic method approximates differential operators that are formal polynomials of {1,x,d/dx} by linear operators acting on a finite dimensional space of polynomials. In this paper we prove ...
On positive definite preserving linear transformations of rank $r$ on real symmetric matrices
positive definite linear transformations
2010/11/22
We study on what conditions on $B_k,$ \ a linear transformation of rank $r$ \label{form} T(A)=\sum_{k=1}^r\tr(AB_k)U_k where $U_k,\ k=1,2,..., r$ are linear independent and all positive definite; is p...
Affine cellularity of affine Hecke algebras of rank two
Affine cellularity affine Hecke algebras
2010/11/15
We show that affine Hecke algebras of rank two with generic parameters are affine cellular in the sense of Koenig-Xi.
The Generalized Schur Decomposition and the rank-$R$ set of real $I\times J\times 2$ arrays
The Generalized Schur Decomposition the rank-$R$ set
2010/11/22
It is known that a best low-rank approximation to multi-way arrays or higher-order tensors may not exist. This is due to the fact that the set of multi-way arrays with rank at most $R$ is not closed....
A Jordan decomposition for groups of finite Morley rank
Jordan decomposition groups of finite Morley rank
2010/12/8
We prove a Jordan decomposition theorem for minimal connected simple groups of finite Morley rank with non-trivial Weyl group. From this,we deduce a precise structural description of Borel subgroups o...
We construct a vertex algebra of central charge 26 from a lattice orbifold vertex operator algebra of central charge 12. The BRST-cohomology group of this vertex algebra is a new generalized Kac-Moody...
Enveloping algebras of Slodowy slices and Goldie rank
Enveloping algebras Slodowy slices Goldie rank
2010/12/8
Let U(g, e) be the finite W-algebra associated with a nilpotent element e in a complex simple Lie algebra g = Lie(G) and let I be a primitive ideal of the enveloping algebra U(g) whose associated vari...
