[세미나] A Reciprocity Theorem for Sp(2n, C)

– 일시: 2016년 11월 4일 3시 30분,
– 장소: 이학관 514호
– 연사: Professor Soo Teck Lee (National University of Singapore)
– 제목: A reciprocity theorem for the symplectic group

In this talk, we use the theory of skew duality of Howe to show that decomposing tensor products and branching are equivalent for the complex symplectic group. We use this theorem to obtain a skew Pieri rule for the symplectic group, by which we mean a description of how the tensor product of an irreducible representation of the symplectic group with a fundamental representation decomposes.