M. Kitagawa

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math.RT2025

Lower semicontinuity of bounded property in the branching problem and sphericity of flag variety

Masatoshi Kitagawa

Vinberg--Kimel'fel'd [Funct. Anal. Appl., 1978] established that a quasi-projective normal $G$ -variety $X$ is spherical if and only if $G$ -modules on the spaces $Γ (X, L)$ …

math.RT2024

Construction of Irreducible $U (g)^{G^{'}}$ -Modules and Discretely Decomposable Restrictions

Masatoshi Kitagawa

In this paper, we study the irreducibility of $U (g)^{G^{'}}$ -modules on the spaces of intertwining operators in the branching problem of reductive Lie algebras, a…

math.RT2024

Cartan subalgebras for restrictions of $g$ -modules

Masatoshi Kitagawa

In this paper, we deal with the $U (g)$ -action on a $g$ -module on which a larger algebra $A$ acts irreducibly. Under a mild condition, we w…

math.RT2024

$D$ -modules on the basic affine space and large $g$ -modules

Masatoshi Kitagawa

In this paper, we treat $D$ -modules on the basic affine space $G / U$ and their global sections for a semisimple complex algebraic group $G$ . Our aim is to prepare basic re…

Lower semicontinuity of bounded property in the branching problem and sphericity of flag variety

Construction of Irreducible U(g)G′-Modules and Discretely Decomposable Restrictions

Cartan subalgebras for restrictions of g-modules

D-modules on the basic affine space and large g-modules

Construction of Irreducible $U (g)^{G^{'}}$ -Modules and Discretely Decomposable Restrictions

Cartan subalgebras for restrictions of $g$ -modules

$D$ -modules on the basic affine space and large $g$ -modules