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The modular group action on real SL(2){characters of a one-holed torus
one-holed torus group action
2015/9/29
The
action of Γ preserves a Poisson structure de ning a Γ{invariant area form on each
−1(t)\ R3. For t < 2, the action of Γ is properly discontinuous on the four contractible components of &...
Twisted Weyl Group Multiple Dirichlet Series Over the Rational Function Field
Rational Function Field Multiple Dirichlet
2014/12/8
Let K be a global field. For each prime p of K, the p-part of a multiple Dirichlet series defined over K is a generating function in several variables for the p-power coefficients. Let _ be an irreduc...
On Kazhdan's Property (T) for the special linear group of holomorphic functions
Kazhdan's Property (T) special linear group holomorphic functions
2012/3/1
We investigate when the group $SL_n(\mathcal{O}(X))$ of holomorphic maps from a Stein space $X$ to $SL_n (\C)$ has Kazhdan's property (T) for $n\ge 3$. This provides a new class of examples of non-loc...
On an algebraic formula and applications to group action on manifolds
algebraic formula applications group action manifolds
2018/4/19
Inspired by a recent result of Cho-Kim-Park, we consider a purely algebraic result. Then given a circle or cyclic group of prime order action on a manifold, we will use it to estimate the lower bound ...
Rate of convergence of linear functions on the unitary group
Rate of convergence linear functions unitary group
2010/11/29
We study the rate of convergence to a normal random variable of the real and imaginary parts of TrANU, where U is an N ×N random unitary matrix and AN is a deterministic complex matrix.
On Schur-Ostrowski Type Theorems for Group Majorizations
preordering cone preordering majorization group majorization group induced cone ordering convex cone dual cone, isotone function Schur convex function fundamental region reflection group Schur-Ostrowski's condition
2009/1/22
In this paper the problem of the isotonicity of a function with respect to a group majorization is discussed. For a group induced cone ordering the isotonicity is characterized via some conditions of...
Symplectic quotients by a nonabelian group and by its maximal torus
Symplectic quotients nonabelian group maximal torus
2010/10/29
This paper examines the relationship between the symplectic quotient X//G of a Hamiltonian G-manifold X, and the associated symplectic quotient X//T, where T is a maximal torus, in the case in which X...