International Research Fellow Awards: Gauge Supergroups, Indecomposable Representations of Semidirect Product Lie Groups

小行星9703942 国际研究员奖励计划使美国科学家和工程师能够在国外进行三到二十四个月的研究。该计划的奖项提供了联合研究的机会，以及使用国外独特或互补的设施，专业知识和实验条件。 该奖项将支持查尔斯H博士为期12个月的博士后研究访问。德克萨斯大学丹顿分校的康利博士与法国第戎戎的勃艮第大学的摩西·弗拉托博士合作。 Flato博士是一位著名的数学物理专家。 康利博士将研究规范超群的不可约酉表示。 他正试图将它们推广到超群和超流形的情形。 此外，他还将完成半直接投影李群的不可分解表示的研究。 他将使用的实现，他已经发现，表明顺利不可分解的表示与preunitary组成系列可能会完成的表示有界运营商在希尔伯特空间。 除了与Flato博士的合作外，PI还将能够与仿射Kac-Moody李代数，量子群和星星表示中的活动群一起工作。 ***

9703942 Conley The International Research Fellow Awards Program enables U.S. scientists and engineers to conduct three to twentyfour months of research abroad. The program's awards provide opportunities for joint research, and the use of unique or complementary facilities, expertise and experimental conditions abroad. This award will support a twelve-month postdoctoral research visit by Dr. Charles H. Conley, of the University of Texas, Denton, to work with Dr. Moshe Flato at the Universite de Bourgogne in Dijon, France. Dr. Flato is a well-known expert in mathematical physics. Dr. Conley will study irreducible unitary representations of gauge supergroups. He is trying to generalize them to the setting of supergroups and supermanifolds. In addition, he will complete a study on indecomposable representations of semidirect project Lie groups. He will use the realizations he has found to show that the smooth indecomposable representations with a preunitary composition series may be completed to representations acting by bounded operators in a Hilbert space. In addition to his work with Dr. Flato, the PI will also be able to work with active groups in affine Kac-Moody Lie algebras, quantum groups, and star representations. ***