Poverty and Buffalo: Beyond the Headlines

DataDemographicsHistory__Poverty_and_Buffalo.pdf: 32 downloads, before Oct. 1, 2020

The Geography of Urban Poverty

The Census Bureau reports poverty statistics annually based on American Community Survey (ACS) data. For the past two years this has included listing the ten places with the highest poverty rates and the ten with the lowest poverty rates. This study considers the interpretation of these statistics when different geographies form the analytical framework. As expected, interpretation of these statistics is influenced by the Modifiable Areal Unit Problem (MAUP) in geography

Maximal Subalgebras for Modular Graded Lie Superalgebras of Odd Cartan Type

The purpose of this paper is to determine all maximal graded subalgebras of the four infinite series of finite-dimensional graded Lie superalgebras of odd Cartan type over an algebraically closed field of characteristic $p>3$. All maximal graded subalgebras consist of three types (\MyRoman{1}), (\MyRoman{2}) and (\MyRoman{3}). Maximal graded subalgebras of type (\MyRoman{3}) fall into reducible maximal graded subalgebras and irreducible maximal graded subalgebras. In this paper we classify maximal graded subalgebras of types (\MyRoman{1}), (\MyRoman{2}) and reducible maximal g raded subalgebras.The classification of irreducible maximal graded subalgebras is reduced to that of the irreducible maximal subalgebras of the classical Lie superalgebra $\mathfrak{p}(n)$.Comment: For the final version, see Transformation Groups 20(4)(2015)1075--110

Cohomology of Heisenberg Lie Superalgebras

Suppose the ground field to be algebraically closed and of characteristic different from $2$ and $3$. All Heisenberg Lie superalgebras consist of two super versions of the Heisenberg Lie algebras, $\frak{h}_{2m,n}$ and $\frak{ba}_n$ with $m$ a nonnegative integer and $n$ a positive integer. The space of a "classical" Heisenberg Lie superalgebra $\frak{h}_{2m,n}$ is the direct sum of a superspace with a non-degenerate anti-supersymmetric even bilinear form and a one-dimensional space of values of this form constituting the even center. The other super analog of the Heisenberg Lie algebra, $\frak{ba}_n$, is constructed by means of a non-degenerate anti-supersymmetric odd bilinear form with values in the one-dimensional odd center. In this paper, we study the cohomology of $\frak{h}_{2m,n}$ and $\frak{ba}_n$ with coefficients in the trivial module by using the Hochschild-Serre spectral sequences relative to a suitable ideal. In characteristic zero case, for any Heisenberg Lie superalgebra, we determine completely the Betti numbers and associative superalgebra structure for their cohomology. In characteristic $p>3$ case, we determine the associative superalgebra structures for the divided power cohomology of $\frak{ba}_n$ and we also make an attempt to determine the cohomology of $\frak{h}_{2m,n}$ by computing it in a low-dimensional case.Comment: 19 page

The Role of US Higher Education in the Global E-Learning Market

This paper analyzes system and institutional level responses to the growing demand for e-learning in the US in comparison with a number of other countries\ud and regions. It reviews the external forces and factors that are driving institutions to introduce and use ICT in this area and investigates in particular the role of globalisation and increasing competition. The responses of institutions to the changing (global) environment are discussed with respect to e-learning models and international strategies. Finally, a number of future scenarios are presented as well as an outline for research on the strategic pathways institutions may choose in planning for the future