Siegel and Clifford elements and finitary orthogonal groups

Key Points

• The research aims to investigate the relationship between orthogonal geometry and associated algebraic structures in odd characteristic.
• Examined orthogonal geometry in various dimensions, including infinite cases.
• Analyzed relationships between finitary orthogonal groups and their corresponding Lie algebras.
• Identified key interrelations between orthogonal geometry and algebraic structures.
• Established properties of finitary orthogonal groups in odd characteristic dimensions.