Nakashima Hideto

論文

Capelli-type identities and $b$-functions of prehomogeneous vector spaces associated with sub-Hankel determinants

Decomposition of gamma matrices of local zeta functions associated with homogeneous cones

Prehomogeneous vector spaces obtained from triangle arrangements

Stieltjes Transforms and R-Transforms Associated with Two-Parameter Lambert–Tsallis Functions

Rings of Invariant Differential Operators on Homogeneous Cones and Capelli-Type Identities

Wigner and Wishart ensembles for sparse Vinberg models

Functional equations of zeta functions associated with homogeneous cones

Basic relative invariants of homogeneous cones and their laplace transforms

A shorter proof of a characterization of symmetric cones by the degrees of the basic relative invariants

Characterization of symmetric cones by means of the basic relative invariants

Basic relative invariants of homogeneous cones

Clans defined by representations of Euclidean Jordan algebras and the associated basic relative invariants

共同研究・競争的資金等の研究課題

Algebraic study of local functional equations