M. Kitagawa

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math.RT2025

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.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 $Î(X, \mathcal{L})…

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…

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…

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

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

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

Cartan subalgebras for restrictions of g-modules

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

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

Cartan subalgebras for restrictions of $g$ -modules