26 citations · 47 across the 5 of their papers we have counts for
5 papers
Katz's middle convolution and Yokoyama's extending operation
Toshio Oshima
We give a concrete relation between Katz's middle convolution and Yokoyama's extension and show the equivalence of both algorithms using these operations for the reduction of Fuchs…
Classification of Fuchsian systems and their connection problem
Toshio Oshima
We review the Deligne-Simpson problem, a combinatorial structure of middle convolutions and their relation to a Kac-Moody root system discoverd by Crawley-Boevey. We show with exam…
Commuting differential operators with regular singularities
Toshio Oshima
We study a system of partial differential equations defined by commuting family of differential operators with regular singularities. We construct ideally analytic solutions depend…
A classification of subsystems of a root system
Toshio Oshima
We classify isomorphic classes of the homomorphisms of a root system to a root system which do not change Cartan integers. We examine several types of isomorphic classes de…
Minimal polynomials and annihilators of generalized Verma modules of the scalar type
Hiroshi Oda, Toshio Oshima
Let g be a complex reductive Lie algebra and U(g) the universal enveloping algebra of g. Associated to a faithful irreducible finite dimensional representation of g, a square matri…