6 citations · 11 across the 7 of their papers we have counts for
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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…
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…
A central element in the universal enveloping algebra of type D_n via minor summation formula of Pfaffians
Takashi Hashimoto
It is known that the universal enveloping algebra of the orthogonal Lie algebra of size even has a central element expressed in terms of Pfaffian of a certain matrix alternating al…