5 citations · 5 across the 13 of their papers we have counts for
13 papers
The classification of thick representations of the symmetric group
Kazunori Nakamoto, Shingo Okuyama, Yasuhiro Omoda
We give the classification of thick representations and dense representations of the symmetric group over a field of characteristic zero.
Hochschild cohomology of the quadratic monomial algebra
Tomohiro Itagaki, Kazunori Nakamoto, Takeshi Torii
Let ${\rm N}_m(R) = \{ (a_{ij}) \in {\rm M}_m(R) \mid a_{11} = a_{22} = \cdots = a_{mm} \mbox{ and } a_{ij} = 0 \mbox{ for any } i > j \}$ for a commutative ring . Then ${\rm N}…
A novel statistical approach for two-sample testing based on the overlap coefficient
Atsushi Komaba, Hisashi Johno, Kazunori Nakamoto
Here we propose a new nonparametric framework for two-sample testing, named as the OVL- (). This can be regarded as a natural extension of the Smirnov test, wh…
Decision tree-based estimation of the overlap of two probability distributions
Hisashi Johno, Kazunori Nakamoto
A new nonparametric approach, based on a decision tree algorithm, is proposed to calculate the overlap between two probability distributions. The devised framework is described ana…
The classification of thick representations of simple Lie groups
Kazunori Nakamoto, Yasuhiro Omoda
We characterize finite-dimensional thick representations over of connected complex semi-simple Lie groups by irreducible representations which are weight multiplicity-fr…
Applications of Hochschild cohomology to the moduli of subalgebras of the full matrix ring
Kazunori Nakamoto, Takeshi Torii
Let be the moduli of rank subalgebras of over . For , let be the…
Special classes of irreducible representations I
Kazunori Nakamoto, Yasuhiro Omoda
We introduce special classes of irreducible representations of groups: thick representations and dense representations. Denseness implies thickness, and thickness implies irreducib…
Remarks on kernel Bayes' rule
Hisashi Johno, Kazunori Nakamoto, Tatsuhiko Saigo
Kernel Bayes' rule has been proposed as a nonparametric kernel-based method to realize Bayesian inference in reproducing kernel Hilbert spaces. However, we demonstrate both theoret…
Virtual Hodge polynomials of the moduli spaces of representations of degree 2 for free monoids
Kazunori Nakamoto, Takeshi Torii
In this paper we study the topology of the moduli spaces of representations of degree for free monoids. We calculate the virtual Hodge polynomials of the character varieties fo…
Triple Root Systems, Quasi-determinantal Quivers and Linear Free Divisors
K. Nakamoto, A. Sharland, M. Tosun
We start by constructing a new root system for rational triple singularities and determine the number of roots for each rational triple singularity. Then we show that, for each roo…
The moduli of representations of degree 2
Kazunori Nakamoto
There are 6 types of 2-dimensional representations in general. For any groups and any monoids, we can construct the moduli of 2-dimensional representations for each type: the modul…
A new construction of -singularities and generalization of Slodowy slices
K. Nakamoto, M. Tosun
Any simple elliptic singularity of type can be obtained by taking the intersection of the nilpotent variety and the 4-dimensional "good slices" in the semi-simple Lie…
The moduli of representations with Borel mold
Kazunori Nakamoto
The author constructs the moduli of representations whose images generate the subalgebra of upper triangular matrices (up to inner automorphisms) of the full matrix ring for any gr…