报告时间：2025年9月24日 （周三）下午14:30-17:30

报告地点：7号楼7106

报告人：Alexander Molev 悉尼大学

摘要：The Yangians form a remarkable family of quantum groups with a deep and substantive representation theory and numerous connections in mathematical physics.  The Yangians admit at least three different presentations, including the R-matrix presentation going back to work of Faddeev’s school in the 1980s.  The classification problem for simple finite-dimensional modules over the Yangians associated with the orthosymplectic Lie superalgebras osp(N|2m) with N=1,2,3 has been solved recently. We will discuss the solution which describes the representations in terms of their highest weights. Key arguments rely on Yangian odd reflections and an explicit construction of a family of elementary modules of the Yangian for osp(1|2).