Yoshiki Oshima

activity

20112026

most citedClassification of discretely decomposable A_q(λ) with respect to reductive symmetric pairs

38 citations · 105 across the 16 of their papers we have counts for

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Showing 2012Show all

4 papers · 1 filter

math.RT2012★ 7 cited

Restriction of some unitary representations of O(1,N) to symmetric subgroups

Jan Möllers, Yoshiki Oshima

We find the complete branching law for the restriction of certain unitary representations of $O (1, n + 1)$ to the subgroups $O (1, m + 1) \times O (n - m)$ , $0 \leq m \leq n$ . The unitary repre…

math.RT2012★ 3 cited

On orbits in double flag varieties for symmetric pairs

Xuhua He, Kyo Nishiyama, Hiroyuki Ochiai +1

Let $G$ be a connected, simply connected semisimple algebraic group over the complex number field, and let $K$ be the fixed point subgroup of an involutive automorphism of $ G…

math.RT2012

Localization of cohomological induction

Yoshiki Oshima

We give a geometric realization of cohomologically induced (g,K)-modules. Let (h,L) be a subpair of (g,K). The cohomological induction is an algebraic construction of (g,K)-modules…

math.RT2012★ 27 cited

Classification of symmetric pairs with discretely decomposable restrictions of (g,K)-modules

Toshiyuki Kobayashi, Yoshiki Oshima

We give a complete classification of reductive symmetric pairs (g, h) with the following property: there exists at least one infinite-dimensional irreducible (g,K)-module X that is…