Tridiagonal pairs of Krawtchouk type arising from finite-dimensional irreducible 𝖘𝖔₄-modules

• 主要作者: Pagaygay, Aaron
• 格式: text
• 語言: English
• 出版: Animo Repository 2025
• 主題: Lie algebras; Physical Sciences and Mathematics
• 在線閱讀: https://animorepository.dlsu.edu.ph/etdd_math/5; https://animorepository.dlsu.edu.ph/context/etdd_math/article/1005/viewcontent/2025_Pagaygay_Tridiagonal_pairs_of_Krawtchouk_type_arising_from_finite_dimensio.pdf
• 機構: De La Salle University

Let 𝔽 denote an algebraically closed field with characteristic 0. One of the well-studied Lie algebras over 𝔽 is the special linear algebra 𝖘𝖑2 which has a Chevalley basis {e,h,f}. Since the special orthogonal algebra 𝖘𝖔4 is the Lie algebra over 𝔽 isomorphic to 𝖘𝖑2⨁𝖘𝖑2, 𝖘𝖔4 has a Chevalley basis {e1...