Modular Representations of Finite Groups

卡尔森，98- 70035该项目是对有限特征域上有限群的表示论和上同调的研究。 特别感兴趣的是同调性质的代表强调的基本模块理论，和结构的上同调环的组的行为的基本同调建设。 该提议者计划继续他的计算机代数系统的发展与模块，同态和群上同调的实验。群论领域是数学理论的对称性和互动与许多其他学科，例如物理和化学以外的数学，编码理论，数论和几何数学内。 研究者的特殊领域是表示论、同调代数和计算机技术的使用的融合。

CARLSON, 98-70035The project is an investigation into the representation theory and cohomology of finite groups over fields of finite characteristic. Of particular interest are the homological properties of representations which underline the basic module theory, and the structure of the cohomology ring of the group which acts on the fundamental homological constructions. The proposer plans to continue his development of computer algebra systems for experimentation with modules, homomorphisms and group cohomology.The field of group theory is the mathematical theory of symmetry and interacts with many other disciplines, for example physics and chemistry outside of mathematics, coding theory, number theory and geometry inside mathematics. The investigator's particular area is a meld of representation theory, homological algebra and the use of computer techniques.