3 citations · 4 across the 5 of their papers we have counts for
7 papers
A condition for the existence of zero coefficients in the powers of the determinant polynomial
Minoru Itoh, Jimpei Shimoyoshi
We discuss the existence of zero coefficients in the powers of the determinant polynomial of order . D. G. Glynn proved that the coefficients of the th power of the determina…
Twisted immanant and matrices with anticommuting entries
Minoru Itoh
This article gives a new matrix function named "twisted immanant," which can be regarded as an analogue of the immanant. This is defined for each self-conjugate partition through a…
A -analogue of derivations on the tensor algebra and the -Schur-Weyl duality
Minoru Itoh
This paper presents a -analogue of an extension of the tensor algebra given by the same author. This new algebra naturally contains the ordinary tensor algebra and the Iwahori-H…
Invariant theory in exterior algebras and Amitsur-Levitzki type theorems
Minoru Itoh
This article discusses invariant theories in some exterior algebras, which are closely related to Amitsur-Levitzki type theorems. First we consider the exterior algebra on the vect…
Extensions of the tensor algebra and their applications
Minoru Itoh
This article presents a natural extension of the tensor algebra. In addition to "left multiplications" by vectors, we can consider "derivations" by covectors as basic operators on…
Schur type functions associated with polynomial sequences of binomial type
Minoru Itoh
We introduce a class of Schur type functions associated with polynomial sequences of binomial type. This can be regarded as a generalization of the ordinary Schur functions and the…