Araştırma Makalesi
BibTex RIS Kaynak Göster

Maximal Antipodal Subgroups and Covering Homomorphisms with Odd Degree

Yıl 2024, Cilt: 17 Sayı: 1, 153 - 156, 23.04.2024

Makiko Tanaka Hiroyuki Tasaki

https://doi.org/10.36890/iejg.1436313

Öz

We show that all of maximal antipodal subgroups in compact Lie groups, which are not necessarily connected, do not change through covering homomorphisms with odd degree.

Anahtar Kelimeler

Antipodal subgroup compact Lie group covering homorphism 2-number

Kaynakça

  • [1] Chen, B.-Y.: Geometry and topology of maximal antipodal sets and related topics, Rom. J. Math. Comput. Sci., 23, 6–25 (2023).
  • [2] Chen, B.-Y., Nagano, T.: A Riemannian geometric invariant and its applications to a problem of Borel and Serre. Trans. Amer. Math. Soc. 308, 273–297 (1988).
  • [3] Tanaka, M. S., Tasaki, H.: Antipodal sets of symmetric R-spaces. Osaka J. Math. 50, 161–169 (2013).
  • [4] Tanaka, M. S., Tasaki, H.: Maximal antipodal subgroups of the automorphism groups of compact Lie algebras. Springer Proceedings in Mathematics & Statistics 203, Y. J. Suh et al. (eds.), "Hermitian-Grassmannian Submanifolds", 39–47 (2017).
  • [5] Tanaka, M. S., Tasaki, H.: Maximal antipodal subgroups of some compact classical Lie groups. J. Lie Theory 27, 801–829 (2017).
  • [6] Tanaka, M. S., Tasaki, H.: Maximal antipodal sets of compact classical symmetric spaces and their cardinalities I. Differ. Geom. Appl. 73 101682 (2020).

Yıl 2024, Cilt: 17 Sayı: 1, 153 - 156, 23.04.2024

Makiko Tanaka Hiroyuki Tasaki

https://doi.org/10.36890/iejg.1436313

Öz

Kaynakça

  • [1] Chen, B.-Y.: Geometry and topology of maximal antipodal sets and related topics, Rom. J. Math. Comput. Sci., 23, 6–25 (2023).
  • [2] Chen, B.-Y., Nagano, T.: A Riemannian geometric invariant and its applications to a problem of Borel and Serre. Trans. Amer. Math. Soc. 308, 273–297 (1988).
  • [3] Tanaka, M. S., Tasaki, H.: Antipodal sets of symmetric R-spaces. Osaka J. Math. 50, 161–169 (2013).
  • [4] Tanaka, M. S., Tasaki, H.: Maximal antipodal subgroups of the automorphism groups of compact Lie algebras. Springer Proceedings in Mathematics & Statistics 203, Y. J. Suh et al. (eds.), "Hermitian-Grassmannian Submanifolds", 39–47 (2017).
  • [5] Tanaka, M. S., Tasaki, H.: Maximal antipodal subgroups of some compact classical Lie groups. J. Lie Theory 27, 801–829 (2017).
  • [6] Tanaka, M. S., Tasaki, H.: Maximal antipodal sets of compact classical symmetric spaces and their cardinalities I. Differ. Geom. Appl. 73 101682 (2020).
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Cebirsel ve Diferansiyel Geometri
Bölüm Araştırma Makalesi
Yazarlar

Makiko Tanaka 0000-0002-0621-4777

Hiroyuki Tasaki Bu kişi benim 0000-0003-2546-0065

Erken Görünüm Tarihi 6 Nisan 2024
Yayımlanma Tarihi 23 Nisan 2024
Gönderilme Tarihi 14 Şubat 2024
Kabul Tarihi 1 Nisan 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 17 Sayı: 1

Kaynak Göster

APA Tanaka, M., & Tasaki, H. (2024). Maximal Antipodal Subgroups and Covering Homomorphisms with Odd Degree. International Electronic Journal of Geometry, 17(1), 153-156. https://doi.org/10.36890/iejg.1436313
AMA Tanaka M, Tasaki H. Maximal Antipodal Subgroups and Covering Homomorphisms with Odd Degree. Int. Electron. J. Geom. Nisan 2024;17(1):153-156. doi:10.36890/iejg.1436313
Chicago Tanaka, Makiko, ve Hiroyuki Tasaki. “Maximal Antipodal Subgroups and Covering Homomorphisms With Odd Degree”. International Electronic Journal of Geometry 17, sy. 1 (Nisan 2024): 153-56. https://doi.org/10.36890/iejg.1436313.
EndNote Tanaka M, Tasaki H (01 Nisan 2024) Maximal Antipodal Subgroups and Covering Homomorphisms with Odd Degree. International Electronic Journal of Geometry 17 1 153–156.
IEEE M. Tanaka ve H. Tasaki, “Maximal Antipodal Subgroups and Covering Homomorphisms with Odd Degree”, Int. Electron. J. Geom., c. 17, sy. 1, ss. 153–156, 2024, doi: 10.36890/iejg.1436313.
ISNAD Tanaka, Makiko - Tasaki, Hiroyuki. “Maximal Antipodal Subgroups and Covering Homomorphisms With Odd Degree”. International Electronic Journal of Geometry 17/1 (Nisan 2024), 153-156. https://doi.org/10.36890/iejg.1436313.
JAMA Tanaka M, Tasaki H. Maximal Antipodal Subgroups and Covering Homomorphisms with Odd Degree. Int. Electron. J. Geom. 2024;17:153–156.
MLA Tanaka, Makiko ve Hiroyuki Tasaki. “Maximal Antipodal Subgroups and Covering Homomorphisms With Odd Degree”. International Electronic Journal of Geometry, c. 17, sy. 1, 2024, ss. 153-6, doi:10.36890/iejg.1436313.
Vancouver Tanaka M, Tasaki H. Maximal Antipodal Subgroups and Covering Homomorphisms with Odd Degree. Int. Electron. J. Geom. 2024;17(1):153-6.
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