Araştırma Makalesi

Note on the permutation group associated to E-polynomials

Cilt: 9 Sayı: 1 15 Ocak 2022
  • Hirotaka Imamura
  • Masashi Kosuda
  • Manabu Oura *
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EN

Note on the permutation group associated to E-polynomials

Abstract

This is a continuation of our project which focuses on E-polynomials and the related combinatorics. A pair of groups appearing in the definition of E-polynomials yields the permutation group. In this paper, we determine the multi-matrix structures of the centralizer algebras of the tensor representations of this permutation group.

Keywords

Kaynakça

  1. [1] E. Bannai, T. Ito, Algebraic combinatorics I: association schemes, The Benjamin/Cummings Publishing Co, California (1984).
  2. [2] W. Bosma, J. Cannon, C. Playoust, The Magma algebra system I: the user language, J. Symbolic Comput. 24(3-4) (1997) 235–265.
  3. [3] M. Broué, M. Enguehard, Polynômes des poids de certains codes et fonctions thêta de certains réseaux, Ann. Sci. École Norm. Sup. 5(1) (1972) 157–181.
  4. [4] W. Duke, On codes and Siegel modular forms, Internat. Math. Res. Notices 5 (1993) 125–136.
  5. [5] A. Hanaki, http://math.shinshu-u.ac.jp/ hanaki/as/.
  6. [6] M. Kosuda, M. Oura, On the centralizer algebras of the primitive unitary reflection group of order 96, Tokyo J. Math. 39(2) (2016) 469–482.
  7. [7] M. Kosuda, M. Oura, Centralizer algebras of the group associated to Z4-codes, Discrete Math. 340(10) (2017) 2437–2446.
  8. [8] T. Motomura, M. Oura, E-polynomials associated to Z_4-codes, Hokkaido Math. J. 47(2) (2018) 339–350.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Hirotaka Imamura Bu kişi benim
Japan

Yayımlanma Tarihi

15 Ocak 2022

Gönderilme Tarihi

10 Mayıs 2020

Kabul Tarihi

4 Kasım 2021

Yayımlandığı Sayı

Yıl 2022 Cilt: 9 Sayı: 1

Kaynak Göster

APA
Imamura, H., Kosuda, M., & Oura, M. (t.y.). Note on the permutation group associated to E-polynomials. Journal of Algebra Combinatorics Discrete Structures and Applications, 9(1), 1-7. https://doi.org/10.13069/jacodesmath.1056485
AMA
1.Imamura H, Kosuda M, Oura M. Note on the permutation group associated to E-polynomials. Journal of Algebra Combinatorics Discrete Structures and Applications. 9(1):1-7. doi:10.13069/jacodesmath.1056485
Chicago
Imamura, Hirotaka, Masashi Kosuda, ve Manabu Oura. t.y. “Note on the permutation group associated to E-polynomials”. Journal of Algebra Combinatorics Discrete Structures and Applications 9 (1): 1-7. https://doi.org/10.13069/jacodesmath.1056485.
EndNote
Imamura H, Kosuda M, Oura M Note on the permutation group associated to E-polynomials. Journal of Algebra Combinatorics Discrete Structures and Applications 9 1 1–7.
IEEE
[1]H. Imamura, M. Kosuda, ve M. Oura, “Note on the permutation group associated to E-polynomials”, Journal of Algebra Combinatorics Discrete Structures and Applications, c. 9, sy 1, ss. 1–7, doi: 10.13069/jacodesmath.1056485.
ISNAD
Imamura, Hirotaka - Kosuda, Masashi - Oura, Manabu. “Note on the permutation group associated to E-polynomials”. Journal of Algebra Combinatorics Discrete Structures and Applications 9/1 (t.y.): 1-7. https://doi.org/10.13069/jacodesmath.1056485.
JAMA
1.Imamura H, Kosuda M, Oura M. Note on the permutation group associated to E-polynomials. Journal of Algebra Combinatorics Discrete Structures and Applications.;9:1–7.
MLA
Imamura, Hirotaka, vd. “Note on the permutation group associated to E-polynomials”. Journal of Algebra Combinatorics Discrete Structures and Applications, c. 9, sy 1, ss. 1-7, doi:10.13069/jacodesmath.1056485.
Vancouver
1.Hirotaka Imamura, Masashi Kosuda, Manabu Oura. Note on the permutation group associated to E-polynomials. Journal of Algebra Combinatorics Discrete Structures and Applications. 9(1):1-7. doi:10.13069/jacodesmath.1056485