Description

• Title:
  The fixed point set of the inverse involution on a Lie group
• Creator:
  Duan, Haibao;
  Liu, Shali
• Description:
  The inverse involution on a Lie group $G$ is the periodic $2$ transformation $\gamma $ that sends each element $g\in G$ to its inverse $g^{-1}$. The variety of the fixed point set $\Fix(\gamma )$ is of importance for the relevances with Morse function on the Lie group $G$, and the $G$-representations of the cyclic group $\mathbb{Z}_{2}$. In this paper we develop an approach to calculate the diffeomorphism types of the fixed point sets $\Fix(\gamma)$ for the simple Lie groups.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2023 Haibao Duan, Shali Liu
• Date:
  2023.02.26
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 61, No 1 (March 2023); 21 - 36;
  1230-3429
• Wydawca:
  Nicolaus Copernicus University in Toruń
• Relacja: https://apcz.umk.pl/TMNA/article/view/42810/34962 ;https://apcz.umk.pl/TMNA/article/view/42810/34963
• Temat i słowa kluczowe:
  Lie groups;
  symmetric spaces;
  fixed point theory;
  Primary: 55M20, 22E15;
  Secondary: 53C35
• Identyfikator: https://apcz.umk.pl/TMNA/article/view/42810
• Dostawca danych:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other