Zobrazeno 1 - 10
of 180
pro vyhledávání: '"ITOH, MINORU"'
Autor:
Hidaka, Masaki, Itoh, Minoru
We show that the Schur polynomials in all primitive $n$th roots of unity are $1$, $0$, or $-1$, if $n$ has at most two distinct odd prime factors. This result can be regarded as a generalization of properties of the coefficients of the cyclotomic pol
Externí odkaz:
http://arxiv.org/abs/2403.10817
Autor:
Itoh, Minoru, Shimoyoshi, Jimpei
We discuss the existence of zero coefficients in the powers of the determinant polynomial of order $n$. D. G. Glynn proved that the coefficients of the $m$th power of the determinant polynomial are all nonzero, if $m = p-1$ with a prime $p$. We show
Externí odkaz:
http://arxiv.org/abs/2104.00838
Autor:
Itoh, Minoru
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 "twisted" analogue of the irreducible character of the symmetric grou
Externí odkaz:
http://arxiv.org/abs/1504.04689
Autor:
Itoh, Minoru
This paper presents a $q$-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-Hecke algebra type $A$ of infinite degree. Namely this algebra can be r
Externí odkaz:
http://arxiv.org/abs/1411.4125
Autor:
Itoh, Minoru
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 vector space of square matrices of size $n$, and look at the invariants un
Externí odkaz:
http://arxiv.org/abs/1404.1980
Autor:
Itoh, Minoru
Kyoto University (京都大学)
0048
甲第8120号
理博第2142号
新制||理||1143(附属図書館)
UT51-2000-F24
学位規則第4条第1項該当
0048
甲第8120号
理博第2142号
新制||理||1143(附属図書館)
UT51-2000-F24
学位規則第4条第1項該当
Externí odkaz:
http://hdl.handle.net/2433/181091
Autor:
Itoh, Minoru
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 this extended algebra. These two types of operators satisfy an analogu
Externí odkaz:
http://arxiv.org/abs/0909.5586
Autor:
Itoh, Minoru
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 factorial Schur functions. This generalization satisfies some interes
Externí odkaz:
http://arxiv.org/abs/0710.0268
Autor:
Itoh, Minoru
This paper presents new generators for the center of the universal enveloping algebra of the symplectic Lie algebra. These generators are expressed in terms of the column-permanent, and it is easy to calculate their eigenvalues on irreducible represe
Externí odkaz:
http://arxiv.org/abs/0710.0265
Autor:
Kitaura, Mamoru, Tanaka, Senku, Itoh, Minoru, Ohnishi, Akimasa, Kominami, Hiroko, Hara, Kazuhiko
Publikováno v:
In Journal of Luminescence April 2016 172:243-248