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COHOMOLOGY OF SL(2, C) CHARACTER VARIETIES OF SURFACE GROUPS AND THE ACTION OF THE TORELLI GROUP
SL(2, C) CHARACTER VARIETIES SURFACE GROUPS TORELLI GROUP
2015/12/17
We determine the action of the Torelli group on the equivariant cohomology of the space of flat SL(2, C) connections on a closed Riemann surface. We show that the trivial part of the action contains t...
CYCLES WITH LOCAL COEFFICIENTS FOR ORTHOGONAL GROUPS AND VECTOR-VALUED SIEGEL MODULAR FORMS
CYCLES WITH LOCAL COEFFICIENTS ORTHOGONAL GROUPS VECTOR-VALUED SIEGEL MODULAR FORMS
2015/10/14
The purpose of this paper is to generalize the relation between intersection numbers of cycles in locally symmetric spaces of orthogonal type and Fourier coefficients of Siegel modular forms to the ca...
UNITARY SHIMURA CORRESPONDENCES FOR SPLIT REAL GROUPS
UNITARY SHIMURA CORRESPONDENCES SPLIT REAL GROUPS
2015/9/28
UNITARY SHIMURA CORRESPONDENCES FOR SPLIT REAL GROUPS.
Algorithms for Representation Theory of Real Reductive Groups
Representation Theory Real Reductive Groups
2015/9/28
The irreducible admissible representations of a real reductive group such as GL(n, R) have been classified by work of Langlands, Knapp, Zuckerman and Vogan. This classification is somewhat involved an...
Generalized wordtype pattern for nonregular factorial designs with multiple groups of factors
wordtype pattern nonregular factorial designs multiple groups of factors
2015/3/20
For a regular 2(l1+l2)−k design D containing l1 Group I factors and l2 Group II factors, let Ai1,i2(D) be the number of words in the defining contrast subgroup containing i1 Group I factors and ...
Remarks on modular representations of finite groups of Lie type in non-defining characteristic
Finite groups of Lie type unipotent representations decomposition numbers
2011/8/23
Abstract: Let $G$ be a finite group of Lie type and $\ell$ be a prime which is not equal to the defining characteristic of $G$. In this note we discuss some open problems concerning the $\ell$-modular...
Orderable groups
Orderable groups
2011/2/28
In this work we study orderable groups. We put special attention to Conradian orderings.In Chapter 1 we give the basic background and notations. We also give a new characterization
of the Conrad prop...
Growth Estimates for Orbits of Self Adjoint Groups
Growth Estimates Orbits of Self Adjoint Groups
2011/1/21
Let G denote a closed, connected, self adjoint, noncompact subgroup of GL(n,R), and let dR
and dL denote respectively the right and left invariant Riemannian metrics defined by the canonical inner pr...
We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kaehler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is bo...
Random walks, Kleinian groups, and bifurcation currents
Random walks Kleinian groups bifurcation currents
2010/11/11
Let (\rho_\lambda)_{\lambda\in \Lambda} be a holomorphic family of representations of a finitely generated group G into PSL(2,C), parameterized by a complex manifold \Lambda . We define a notion of b...
Henselian valued quasilocal fields with totally indivisible value groups, II
Henselian valued quasilocal fields value groups, II
2010/11/18
This paper characterizes the quasilocal fields from the class of Henselian valued fields with totally indivisible value groups, over which there exist finite separable extensions of nontrivial defect...
On the Smoothness of Centralizers in Reductive Groups
Smoothness of Centralizers Reductive Groups
2010/11/29
Let G be a connected reductive algebraic group over an algebraically closed field k. In a
recent paper, Bate, Martin, R¨ohrle and Tange show that every (smooth) subgroup of G is separable provided th...
In this paper a secret sharing scheme based on the word prob-lem in groups is introduced. The security of the scheme and possible variations are discussed in section 2. The article concludes with the ...
Inequalities of Hadamard Type for r-Convex Functions in Carnot Groups
r-convex function extended mean values Carnot
2007/12/11
For a Carnot group G, we establish the relationshipbetween extended mean values and r-convex functions which isintroduced in this paper, which is a class of inequalities ofHadamard type for r-convex f...
It is shown how to use a small finite state automaton in two variables in order to carry out the Knuth-Bendix process for rewriting words in a group in shortlex order. The two-variable automaton can ...