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The Schur-Weyl duality and Invariants for classical Lie superalgebras

发布时间:2024-11-27 作者: 浏览次数:
Speaker: 罗阳 DateTime: 2024年12月3日(周二)上午10:20—11:20
Brief Introduction to Speaker:

罗阳,国防科技大学讲师,博士毕业于中国科学技术大学,主要从事李代数、量子群以及代数表示论等领域的研究,研究成果发表在《Communications in Mathematical Physics》等国际知名期刊。


Place: 国交2号楼315会议室
Abstract:In this talk, I will provide specific invariants of classical Lie superalgebras gl, osp, p, q from Schur-Weyl duality in a unified way and investigate the explicit relationships between the g-invariant subalgebras of tensor algebra, symmetric algebra and universal enveloping algebra of g. Additionally, I will present an alternative algebraic proof of the triviality of center of periplectic Lie superalgebra. This is a joint work with Yongjie Wang.