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BibTex RIS Kaynak Göster
Yıl 2020, Cilt: 3 Sayı: 1, 61 - 69, 10.06.2020
https://doi.org/10.33401/fujma.691602

Öz

Kaynakça

  • [1] A. Khammash, The pseudoblocks of endomorphism algebras, Int. Math. Forum, 4(48) (2009), 2363-2368.
  • [2] J. Alperin, Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups, Cambridge University Press, 1986.
  • [3] A. Khammash, Brauer-fitting correspondence on tensor algebra, Int. J. Algebra, 8(19) (2014), 895-901.
  • [4] K. Erdmann, T. Holm, Algebras and Representation Theory, Springer, 2018.
  • [5] J. Humphreys, Modular Representations of Finite Groups of Lie Type, Cambridge University Press, 2006.
  • [6] L. Dornhoff, Group Representation Theory: Modular Representation Theory, M. Dekker, 1972.
  • [7] D. Craven, Maximal psl2 subgroups of exceptional groups of lie type, (2019), arXiv:1610.07469.

Pseudoblocks of Finite Dimensional Algebras

Yıl 2020, Cilt: 3 Sayı: 1, 61 - 69, 10.06.2020
https://doi.org/10.33401/fujma.691602

Öz

The notion of pseudoblocks is borrowed from [1] and introduced to finite-dimensional algebras. We determine the pseudoblocks for several known algebras such as the triangular algebra and the cyclic group algebra. Also, we determine the pseudoblocks for the group algebra of the special linear group $SL(2,p)$ in the natural characteristic being the only finite group of Lie type of finite representation type.

Kaynakça

  • [1] A. Khammash, The pseudoblocks of endomorphism algebras, Int. Math. Forum, 4(48) (2009), 2363-2368.
  • [2] J. Alperin, Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups, Cambridge University Press, 1986.
  • [3] A. Khammash, Brauer-fitting correspondence on tensor algebra, Int. J. Algebra, 8(19) (2014), 895-901.
  • [4] K. Erdmann, T. Holm, Algebras and Representation Theory, Springer, 2018.
  • [5] J. Humphreys, Modular Representations of Finite Groups of Lie Type, Cambridge University Press, 2006.
  • [6] L. Dornhoff, Group Representation Theory: Modular Representation Theory, M. Dekker, 1972.
  • [7] D. Craven, Maximal psl2 subgroups of exceptional groups of lie type, (2019), arXiv:1610.07469.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Afaf Alharthi 0000-0001-5313-5919

Ahmed Khammash 0000-0001-9404-1732

Yayımlanma Tarihi 10 Haziran 2020
Gönderilme Tarihi 21 Ocak 2020
Kabul Tarihi 27 Ocak 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 3 Sayı: 1

Kaynak Göster

APA Alharthi, A., & Khammash, A. (2020). Pseudoblocks of Finite Dimensional Algebras. Fundamental Journal of Mathematics and Applications, 3(1), 61-69. https://doi.org/10.33401/fujma.691602
AMA Alharthi A, Khammash A. Pseudoblocks of Finite Dimensional Algebras. FUJMA. Haziran 2020;3(1):61-69. doi:10.33401/fujma.691602
Chicago Alharthi, Afaf, ve Ahmed Khammash. “Pseudoblocks of Finite Dimensional Algebras”. Fundamental Journal of Mathematics and Applications 3, sy. 1 (Haziran 2020): 61-69. https://doi.org/10.33401/fujma.691602.
EndNote Alharthi A, Khammash A (01 Haziran 2020) Pseudoblocks of Finite Dimensional Algebras. Fundamental Journal of Mathematics and Applications 3 1 61–69.
IEEE A. Alharthi ve A. Khammash, “Pseudoblocks of Finite Dimensional Algebras”, FUJMA, c. 3, sy. 1, ss. 61–69, 2020, doi: 10.33401/fujma.691602.
ISNAD Alharthi, Afaf - Khammash, Ahmed. “Pseudoblocks of Finite Dimensional Algebras”. Fundamental Journal of Mathematics and Applications 3/1 (Haziran 2020), 61-69. https://doi.org/10.33401/fujma.691602.
JAMA Alharthi A, Khammash A. Pseudoblocks of Finite Dimensional Algebras. FUJMA. 2020;3:61–69.
MLA Alharthi, Afaf ve Ahmed Khammash. “Pseudoblocks of Finite Dimensional Algebras”. Fundamental Journal of Mathematics and Applications, c. 3, sy. 1, 2020, ss. 61-69, doi:10.33401/fujma.691602.
Vancouver Alharthi A, Khammash A. Pseudoblocks of Finite Dimensional Algebras. FUJMA. 2020;3(1):61-9.

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