Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2023, , 1 - 5, 30.06.2023
https://doi.org/10.29002/asujse.1207235

Öz

Kaynakça

  • [1] V. Reiner, Descents and one-dimensional characters for classical Weyl groups, Discrete Math. 140 (1995) 129-140. DOI: https://doi.org/10.1016/0012-365X(93)E0179-8
  • [2] J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge Studies in Advenced Math., vol. 29, Cambridge University Press. (1990).
  • [3] R. Mantaci, C. Reutenauer, A generalization of Solomon’s algebra for hyperoctahedral groups and other wreath products, Comm. in Algebra. 23(1) (1995) 27–56. DOI: https://doi.org/10.1080/00927879508825205
  • [4] H. Arslan, H. Can, (2020). Generalized Burnside algebra of type . Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 69(1), 252-265. DOI: https://doi.org/10.31801/cfsuasmas.599246
  • [5] C. Hohlweg, (2007). Generalized Descent Algebras. Canadian Mathematical Bulletin, 50(4), 535-546. DOI: https://doi.org/10.4153/CMB-2007-052-4
  • [6] L. Solomon, A Mackey formula in the group ring of a Coxeter group, J. Algebra. 41(2) (1976) 255-264. DOI: https://doi.org/10.1016/0021-8693(76)90182-4
  • [7] G. James, M. Liebeck, Representations and Characters of Groups, Cambridge: Cambridge University Press. (2001).

Determination of the Characteristic Class Functions of the Weyl Group of type G2

Yıl 2023, , 1 - 5, 30.06.2023
https://doi.org/10.29002/asujse.1207235

Öz

In this paper, our main objective is to combinatorially obtain all characteristic class functions of the Weyl group of type G2 with the help of the structure of generalized descent algebra including Solomon’s descent algebra and Mantaci-Reutenauer algebra. We also give an interpretation of the character table of the Weyl group of type G2 in terms of the permutation characters defined on the set of cosets belonging to each of its some special subgroups.

Kaynakça

  • [1] V. Reiner, Descents and one-dimensional characters for classical Weyl groups, Discrete Math. 140 (1995) 129-140. DOI: https://doi.org/10.1016/0012-365X(93)E0179-8
  • [2] J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge Studies in Advenced Math., vol. 29, Cambridge University Press. (1990).
  • [3] R. Mantaci, C. Reutenauer, A generalization of Solomon’s algebra for hyperoctahedral groups and other wreath products, Comm. in Algebra. 23(1) (1995) 27–56. DOI: https://doi.org/10.1080/00927879508825205
  • [4] H. Arslan, H. Can, (2020). Generalized Burnside algebra of type . Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 69(1), 252-265. DOI: https://doi.org/10.31801/cfsuasmas.599246
  • [5] C. Hohlweg, (2007). Generalized Descent Algebras. Canadian Mathematical Bulletin, 50(4), 535-546. DOI: https://doi.org/10.4153/CMB-2007-052-4
  • [6] L. Solomon, A Mackey formula in the group ring of a Coxeter group, J. Algebra. 41(2) (1976) 255-264. DOI: https://doi.org/10.1016/0021-8693(76)90182-4
  • [7] G. James, M. Liebeck, Representations and Characters of Groups, Cambridge: Cambridge University Press. (2001).
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Hasan Arslan 0000-0002-0430-8737

Yayımlanma Tarihi 30 Haziran 2023
Gönderilme Tarihi 20 Kasım 2022
Kabul Tarihi 7 Aralık 2022
Yayımlandığı Sayı Yıl 2023

Kaynak Göster

APA Arslan, H. (2023). Determination of the Characteristic Class Functions of the Weyl Group of type G2. Aksaray University Journal of Science and Engineering, 7(1), 1-5. https://doi.org/10.29002/asujse.1207235
Aksaray J. Sci. Eng. | e-ISSN: 2587-1277 | Period: Biannually | Founded: 2017 | Publisher: Aksaray University | https://asujse.aksaray.edu.tr