Volume Introduction Letter

This Conference Proceedings is a collection of outstanding papers submitted to the Academic Program of the International Conference for Free and Open Source Software for Geospatial (FOSS4G), 14th to 19th September 2015 in Seoul, South Korea

Advances in Free Software Geographic Information Systems

ABSTRACT: This paper reports on recent advances in FOSS4G (Free and Open Source Software for Geoinformatics). Features of the new GRASS 6.2.0 release, a major software package among the FOSS4G product family, are summarised in this paper. The new capabilities of GRASS 6 include a new engine for spatial vector data processing as well as an improved user interface with internationalisation efforts and multi-byte font support. Spatial data are crucial for national and local development planning, disaster management and early warning, and environmental monitoring. Compared to other IT sectors

Unique Factorization For Tensor Products of Parabolic Verma Modules

Let $\mathfrak{g}$ be a symmetrizable Kac-Moody Lie algebra with Cartan subalgebra $\mathfrak{h}$. We prove a unique factorization property for tensor products of parabolic Verma modules. More generally, we prove unique factorization for products of characters of parabolic Verma modules when restricted to certain subalgebras of $\mathfrak{h}$. These include fixed point subalgebras of $\mathfrak{h}$ under subgroups of diagram automorphisms of $\mathfrak{g}$ and twisted graph automorphisms in the affine case.Comment: 20 page