activity
20152021
most citedRegular irreducible characters of a hyperspecial compact group

2 citations · 3 across the 8 of their papers we have counts for

collaborators

8 papers

math.RT2021

On certain supercuspidal representations of associated with tamely ramified extensions: the formal degree conjecture and the root number conjecture

Koichi Takase

Based upon the general theory, developed by the author, on the parametrization of the irreducible representations of the hyper special compact groups corresponding to the regular a…

math.RT2021

On certain supercuspidal representations of symplectic groups associated with tamely ramified extensions : the formal degree conjecture and the root number conjecture

Koichi Takase

The formal degree conjecture and the root number conjecture are verified with respect to supercuspidal representations of and -parameters associated with tamely ram…

math.NT2019

Regular irreducible represntations of classical groups over finite quotient rings

Koichi Takase

A parametrization of irreducible representations associated with a regular adjoint orbit of a classical group over finite quotient rings of the ring of integer of a non-dyadic non-…

math.NT2018

On supercuspidal representations of associated with tamely ramified extensions

Koichi Takase

We will give an explicit construction of irreducible suparcuspidal representations of the special linear group over a non-archimedean local field and will speculate its Langlands p…

math.NT2017

On generic supercuspidal representations of

Koichi Takase

We will construct a family of irreducible generic supercuspidal representations of the symplectic groups over non-archimedian local field of odd residual characteristic. The su…

math.RT2017★ 2 cited

Regular irreducible characters of a hyperspecial compact group

Koichi Takase

A parametrization of irreducible unitary representations associated with the regular adjoint orbits of a hyperspecial compact subgroup of a reductive group over a non-dyadic non-ar…

math.RT2015★ 1 cited

Regular characters of and Weil representations over finite fields

Koichi Takase

In this paper, we will point out a gap in the proof of a theorem of G.Hill (J. Algebra, 174 (1995), 610-635) and will give new arguments to give a remedy in the non-dyadic case mod…

math.GR2015

Regular irreducible characters of a hyperspecial compact group and Weil representations over finite fields

Koichi Takase

A method to construct irreducible unitary representations of a hyperspecial compact subgroup of a reductive group over p-adic field with odd p is presented. Our method is based upo…