Institute of Mathematics for Industry

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Rankin-Cohen Operators for Symmetric Pairs


Hold Date 2013-05-08 15:00~2013-05-08 16:00

Place Seminar Room 1, Faculty of Mathematics building, Ito Campus

Object person  

Speaker Michael Pevzner (Reims University)

Abstract:
The celebrated Rankin-Cohen brackets can be interpreted as intertwining operators between different unitary representations of the Lie group SL(2,R). We present their analogue arising in the setting of breaking symmetries for six different complex geometries and explain in a systematic way why such differential operators are related to Jacobi polynomials in one variable.