报告人:Hiroyoshi Tamori (University of Hokkaido)

时间:2021/9/28  15:00-16:00 (Beijing time)

Zoom Meeting ID: 951 4860 9959

Passcode: 086103


报告摘要:

     If g is a simple Lie algebra not of type A, the enveloping algebra U(g) has a unique completely prime primitive ideal whose associated variety equals the closure of the minimal nilpotent orbit. The ideal is called the Joseph Ideal. An irreducible admissible representation of a simple Lie group is called minimal if the annihilator of the underlying (g,k)-modules is given by the Joseph ideal. Minimal representations are known to have simple k-type decompositions (called pencil), and a simple Lie group has at most two minimal representations up to complex conjugate.

      In this talk, we consider the type A analogues for the above statements.

 

 

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邀请人:白占强, 董超平