The Weil representation is an important representation of the Metaplectic group, a double cover of the symplectic group. To study this representation, one can embed the even part into a degenerate principal series representation, which contains a spherical vector. Then one can compute the action of the metaplectic Hecke algebra on this spherical vector by a formula analogous to Macdonald’s formula on p-adic spherical functions. This method might be generalized to the case of loop groups.

5月8日
3:00pm - 4:00pm
地点
https://hkust.zoom.us/j/98697265817 (Passcode: 704828)
讲者/表演者
Mr. Yanze CHEN
主办单位
Department of Mathematics
联系方法
付款详情
对象
Alumni, Faculty and staff, PG students, UG students
语言
英语
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