講師：名前 (所属) Francis Atta Howard （University of Abomey-Calavi, Republic
of Benin）
題目：タイトル Group-Algebraic Characterization of Spin
Particles:Semi-Simplicity, SO(2N) Structure and Iwasawa Decomposition
日時： 2023年 12月 25日（月） 15:00 〜
場所：中百舌鳥キャンパス A14-305（対面のみ）
概要： In this paper, we focus on the characterization of Lie algebras of
fermionic, bosonic and parastatistic operators of spin particles. We
provide a method to construct a Lie group structure for the quantum spin
particles. We show the semi-simplicity of the Lie algebra for a quantum
spin particle, and extend the results to the Lie group level. Besides,
we perform the Iwasawa decomposition for spin particles at both the Lie
algebra and the Lie group levels. Then, we give a general decomposition
for spin particles. Finally, we investigate the coupling of angular
momenta of spin half particles, and give a general construction for
such a study.
連絡先：名前 (メールアドレス) 会沢成彦（aizawa_AT_omu.ac.jp）
(_AT_は@に置換してください。）