Výsledky vyhledávání - "Kosuda, Masashi"

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Centralizer algebras of the group associated to ${\mathbb Z}_4$-codes

The purpose of this paper is to investigate the finite group which appears in the study of the Type II $\mathbf{Z}_4$-codes. To be precise, it is characterized in terms of generators and relations, and we determine the structure of the centralizer al

Externí odkaz: http://arxiv.org/abs/1608.08731

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Centralizer algebras of the primitive unitary reflection group of order $96$

Autor: Kosuda, Masashi, Oura, Manabu

Among the unitary reflection groups, the one on the title is singled out by its importance in, for example, coding theory and number theory. In this paper we start with describing the irreducible representations of this group and then examine the sem

Externí odkaz: http://arxiv.org/abs/1505.00318

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Coxeter elements of the symmetric groups whose powers afford the longest

Autor: Kosuda, Masashi

In this article, we first show that in case $n$ is even which Coxeter element in $\mathfrak{S}_{n}$ affords the longest by taking its power to $n/2$. We also show that in case $n$ is odd which Coxeter element affords the longest in $\mathfrak{S}_{n}$

Externí odkaz: http://arxiv.org/abs/1411.5761

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Partition Algebra, its Characterization and Representations

Autor: Kosuda, Masashi

In this note we give representations for the partition algebra A_3(Q) in Young's seminormal form. For this purpose, we also give characterizations of A_n(Q) and$A_{n-1/2}(Q).
Comment: 30 pages, 21 figures

Externí odkaz: http://arxiv.org/abs/1002.0396

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Akademický článek

Centralizer algebras of the group associated to [formula omitted]-codes

Autor: Kosuda, Masashi ^a, Oura, Manabu ^{b, *}

Publikováno v: In Discrete Mathematics October 2017 340(10):2437-2446

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Akademický článek

Extending Muirhead's Inequality.

Autor: Kato, Mitsuo¹ (AUTHOR), Kosuda, Masashi² (AUTHOR), Tokushige, Norihide¹ (AUTHOR) hide@edu.u-ryukyu.ac.jp

Publikováno v: Graphs & Combinatorics. Sep2021, Vol. 37 Issue 5, p1923-1941. 19p.

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Note on Symmetric Group and Classical Invariant Theory (Research on algebraic combinatorics, related groups and algebras)

Autor: Hamid, Nur, Kosuda, Masashi, Oura, Manabu

Publikováno v: 数理解析研究所講究録. 2148:43-46

In this paper, we construct the analogue theory of Eisenstein series in classical invariant theory. The groups appearing from the construction are also investigated.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::40a3cec0d6a5f587a2f226b7de278980
http://hdl.handle.net/2433/255027

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Certain subrings in classical invariant theory

Autor: Hamid, Nur, Kosuda, Masashi, Oura, Manabu

Publikováno v: Toyama mathematical journal. 41:33-44

We have studied E-polynomials which are combinatorial analogue of Eisenstein series. In this paper, we apply this approach to classical invariant theory. The corresponding subrings to E-polynomials are investigated.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::1eb0618eda0a6c88b0ad256ca840a972
http://hdl.handle.net/10110/00020827

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Akademický článek

REPRESENTATION OF q-ANALOGUE OF RATIONAL BRAUER ALGEBRAS

Autor: Kosuda, Masashi

Publikováno v: Tsukuba Journal of Mathematics, 1997 Dec 01. 21(3), 707-728.

Externí odkaz: https://www.jstor.org/stable/43686041

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