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The representation dimension of Hecke algebras and symmetric groups     Hecke algebras  symmetric groups       font style='font-size:12px;'> 2010/11/22
We establish a lower bound for the representation dimension of all the classical Hecke algebras of types A, B and D. For all the type A algebras, and most of the algebras of types B and D, we also es...
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...
We consider plane-symmetric spacetimes satisfying Einstein’s field equations with positive cosmological constant, when the matter is a fluid whose pressure is equal to its mass-energy density (i.e. a ...
We establish a Feynman-Kac-type formula to define fractional Schr\"odinger operators for fractional Kato-decomposable potentials as self-adjoint operators. In this functional integral representation ...
We characterize the image of the Poisson transform on each boundary component of a Riemannian symmetric space of the noncompact type by a system of differential equations. The system corresponds to a...
Symmetric Criticality in Classical Field Theory      Symmetric Criticality  Classical Field Theory        font style='font-size:12px;'> 2010/12/21
This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais’ Principle of Symmet...
We classify homotopes of classical symmetric spaces (studied in Part I of this work). Our classification uses the fibered structure of homotopes: they are fibered as symmetric spaces, with flat fibers...
In a recent paper, Kiessling and Tahvildar-Zadeh proved that any spherically symmetric classical solution of the attractive relativistic Vlasov-Poisson equation launched by sufficiently regular initi...
There are two approaches to projective representation theory of symmetric and alternating groups, which are powerful enough to work for modular representations. One is based on Sergeev duality, which...
A homogeneous symmetric structure on an associative superalgebra A is a non-degenerate, supersymmetric, homogeneous (i.e. even or odd) and associative bilinear form on A. In this paper, we show that ...
We consider the minimization of a p-Ginzburg-Landau energy functional over the class of radially symmetric functions of degree one. We prove the existence of a unique minimizer in this class, and sho...
We propose the method of investigation of radial motions for charged and neutral test particles in the Reissner-Nordstr¨om field by means of mass potential. In this context we analyze special features...
The radial motion of a self-graviting charged dust and stability condition of the static charged dust spheres are considered. The stability is possible for the bound states of the weakly charged laye...
Two-symmetric Lorentzian manifolds     Two-symmetric Lorentzian manifolds  math       font style='font-size:12px;'> 2010/11/22
The local form of all two-symmetric Lorentzian manifolds is found. To do this, the methods of the theory of the holonomy groups is used.
Let X be a Riemannian symmetric space of the noncompact type. We prove that the solution of the time-dependent Schr\"odinger equation on X with square integrable initial condition f is identically ze...

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