6 citations · 11 across the 7 of their papers we have counts for
7 papers
Annihilator of -modules of
Takashi Hashimoto
Let denote the complexified Lie algebra of and a maximal compact subgroup of . In the previous paper, we constructed …
-module of associated with the finite-dimensional representation of
Takashi Hashimoto
The main aim of this paper is to construct irreducible -modules of corresponding to the finite-dimensional representation of o…
The moment map on symplectic vector space and oscillator representation
Takashi Hashimoto
The aim of this paper is to show that the canonical quantization of the moment maps on symplectic vector spaces naturally gives rise to the oscillator representations. More precise…
A twisted moment map and its equivariance
Takashi Hashimoto
Let be a linear connected complex reductive Lie group. The purpose of this paper is to give explicit symplectic isomorphisms from twisted cotangent bundles of the complex gener…
On the principal symbols of -invariant differential operators on Hermitian symmetric spaces
Takashi Hashimoto
Let be one of the following classical irreducible Hermitian symmetric pairs of noncompact type: , or . Let…
Generating function for GL_n-invariant differential operators in the skew Capelli identity
Takashi Hashimoto
Let Alt_n be the vector space of all alternating n-by-n complex matrices, on which the complex general linear group GL_n acts by . The aim of this paper is to sh…