OSHIMA, Yoshiki

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Title
Associate Professor
Field
Representation theory
Research interests
Representation theory of Lie groups
Current research

I am interested in representations of Lie groups. In particular, I study induction and restriction of unitary representations of semisimple Lie groups by using D-modules and the method of coadjoint orbits.
Selected publications
  1. Y. Oshima, On the restriction of Zuckerman's derived functor modules A_q(λ) to reductive subgroups, Amer. J. Math. 137, 1099-1138 (2015).
  2. T. Kobayashi and Y. Oshima, Classification of symmetric pairs with discretely decomposable restrictions of (g,K)-modules, J. Reine Angew. Math. 703, 201-223 (2015).
  3. B. Harris and Y. Oshima, Irreducible characters and semisimple coadjoint orbits, J. Lie Theory 30, 715-765 (2020).
  4. Y. Odaka and Y. Oshima, Collapsing K3 surfaces, tropical geometry and moduli compactifications of Satake, Morgan-Shalen type, MSJ Memoirs 40 (2021).

Memberships, Awards and

activities

The Mathematical Society of Japan

MSJ Takebe Katahiro Prise (2021)