勷勤数学•专家报告

题      目：The Jucys-Murphy method and fusion procedure for the Sergeev superalgebra 

报  告  人：Iryna Kashuba 副教授  (邀请人：张泽锐)

                                      南方科技大学

时      间： 1月2日  16：00-17:00

地     点：数科院东楼401

报告人简介:

       Iryna Kashuba got her Bachelor degree from Taras Shevchenko Kyiv University in 1997, master degree from Kaiserslautern University in 2000,and her PhD degree from São Paulo university in 2004.She did her postdoc at Centre de Recherches Mathematiques of University of Montreal and at the University of California, Berkeley. For more than 15 years Iryna worked at University of São Paulo in Brazil and now she is working at the International Center for Mathematics at SUSTech, China. Her mathematical interests are in structure and representation theory of Lie and Jordan algebras and superalgebras.

摘      要：

      We use the Jucys-Murphy elements to construct a complete set of primitive idempotents for the Sergeev superalgebra. We apply them to give a version of the seminormal form for the irreducible modules with an explicit construction of basis vectors. We show that the idempotents can be also obtained from a new version of the fusion procedure. This is joint work with A. Molev and V. Serganova.

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