搜索结果: 1-15 共查到“代数学 complex”相关记录28条 . 查询时间(0.153 秒)
For a compact 3-manifold M with arbitrary (possibly empty) boundary, we give a
parametrization of the set of conjugacy classes of boundary-unipotent representations of π1(M)
into SL(n, C). Our param...
Several results point to deep relations between noncommutative geometry and class eld theory ([3],
[10], [20], [22]). In [3] a quantum statistical mechanical system (BC) is exhibited, with partition...
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties
Artin groups,projective arrangements fundamental groups smooth complex algebraic varieties
2015/10/14
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties.
THE HODGE CONJECTURE AND ARITHMETIC QUOTIENTS OF COMPLEX BALLS
HODGE CONJECTURE ARITHMETIC QUOTIENTS COMPLEX BALLS
2015/10/14
Let S be a closed Shimura variety uniformized by the complex n-ball. The Hodge conjecture predicts that every Hodge class in H2k(S, Q), k = 0, . . . , n, is algebraic. We show that this holds for all ...
Henon Mappings in the Complex Domain II:projective and inductive limits of polynomials
Henon Mappings Complex Domain projective and inductive limits
2015/8/26
Henon Mappings in the Complex Domain II:projective and inductive limits of polynomials.
In this paper we consider both the dynamical and parameter planes for the complex exponential family Eλ(z) = λez where the parameter λ is complex. We show that there are infinitely many curves or “hai...
How to find all roots of complex polynomials by Newton’s method
complex polynomials Newton’s method
2015/8/26
We investigate Newton’s method to find roots of polynomials of fixed degree d, appropriately normalized: we construct a finite set of points such that, for every root of every such polynomial, at leas...
Imprimitive Complex Reflection Groups G(m,p,n)
imprimitive complex reflection groups strongly congruence map automorphism groups
2011/9/28
We describe the group Aut(m,p,n) of all the reflection-preserving automorphisms of G(m,p,n). The results are obtained in the cases of p=1, p=m and p\in [2,m-1], separately. Then we study some structur...
Hyperbolicity of the complex of free factors
Hyperbolicity of the complex free factors Group Theory
2011/9/13
Abstract: We prove that the complex of free factors of a free group of finite rank is hyperbolic.
Integrable invariant almost complex structures are introduced in the setting of Lie-Hopf
superalgebras. This leads to a convenient description of the subsheaf of holomorphic
superfunctions in the sh...
Homology computations for complex braid groups
Homology computations complex braid groups
2010/11/23
Complex braid groups are the natural generalizations of braid groups associated to arbitrary (finite) complex reflection groups. We investigate several methods for computing the homology of these gro...
A group has a planar Cayley complex if and only if it has a VAP-free Cayley graph
planar Cayley complex VAP-free Cayley graph
2010/11/23
We prove that a group has a planar Cayley complex if and only if it has a Cayley graph that can be embedded in the euclidean plane without accumulation points of vertices.
Category O for the rational Cherednik algebra associated to the complex reflection group G_12
the rational Cherednik algebra the complex reflection group G_12
2010/11/23
In this paper, we describe the irreducible representations in category O of the rational Cherednik algebra H_c(G_12,h) associated to the complex reflection group G_12 with reflection representation h ...
We show that the Grothendieck-Witt and Witt groups of a smooth complex cellular variety can be identified with its topological KO-groups. As an application, we deduce the values of the Witt groups of...
Deformed diagonal harmonic polynomials for complex reflection groups
Deformed diagonal harmonic polynomials reflection groups
2010/11/22
We introduce deformations of the space of (multi-diagonal) harmonic polynomials for any finite complex reflection group of the form W=G(m,p,n), and give supporting evidence that this space seems to al...