Young module multiplicities and classifying the indecomposable Young permutation modules

We study the multiplicities of Young modules as direct summands of permutation modules on cosets of Young subgroups. Such multiplicities have become known as the p-Kostka numbers. We classify the indecomposable Young permutation modules, and, applying the Brauer construction for p-permutation modules, we give some new reductions for p-Kostka numbers. In particular we prove that p-Kostka numbers are preserved under multiplying partitions by p, and strengthen a known reduction given by Henke, corresponding to adding multiples of a p-power to the first row of a partition.Comment: 22 page

Art 399 Portfolio

Moving to Kentucky from a small Central American country has definitely shaken a lot about what I thought I knew of the world and painting is a sort of way to express what things are ‘shaking’ currently for me and how it continuously shakes me. My artwork reveals certain key points in a childhood experience unique to Belize. Imagery used and settings are strongly influenced by local art styles from the country. Strong themes of discrimination, marginalization, inner and outer dialogues about interpersonal ideas and society’s violently inflicted and delicately or sloppily treated wounds, all these ideas are set in tropical, real life day to day scenes of the Caribbean region are to speak on them from a native’s queer point of view. Oil & Acrylic on wood panels and canvas are preferred materials for my personal process. A digital collection of references that may not include figures, patterns, textures and prints as well as Belizean history books and records inspire a lot of my art as I can draw a lot from more relatable experiences of my own life and translate it into a universally recognizable moment. As reference and inspiration artists like Francois Boucher from the Rococo period influence my pieces heavily. The themes of Freedom, love and opulence call me to bathe Belizean queers in the love and attention they deserve with my art. More contemporary artists such as Milt Koboyashi, Cheyenne Jackson, and Kehinde Wiley are artists who have certain skills and styles that my work aligns with and can learn from theirs. Certain things are important for the work such as a strong reference to my country of origin (a personal fight against assimilation), as well as a representation of those not seen. I not only want to give voices to my fellow queer peers that I grew up with, but I also want to create an oppurtunity to talk about these things together at the middleground. Figures and bright, saturated colors, not only mimic the style of Belizean artists but as well fakes a dream-like internal surreal scenery that is to insinuate the conversation is happening somewhat within reality.https://digitalcommons.murraystate.edu/art399/1095/thumbnail.jp

Extending BPEL for Interoperable Pervasive Computing

The widespread deployment of mobile devices like PDAs and mobile phones has created a vast computation and communication platform for pervasive computing applications. However, these devices feature an array of incompatible hardware and software architectures, discouraging ad-hoc interactions among devices. The Business Process Execution Language (BPEL) allows users in wired computing settings to model applications of significant complexity, leveraging Web standards to guarantee interoperability. However, BPEL\u27s inflexible communication model effectively prohibits its deployment on the kinds of dynamic wireless networks used by most pervasive computing devices. This paper presents extensions to BPEL that address these restrictions, transforming BPEL into a versatile platform for interoperable pervasive computing applications. We discuss our implementation of these extensions in Sliver, a lightweight BPEL execution engine that we have developed for mobile devices. We also evaluate a pervasive computing application prototype implemented in BPEL, running on Sliver