A duality between non-compact semisimple symmetric pairs and commutative compact semisimple symmetric triads and its general theory
| Autor: | Atsumu Sasaki, Kurando Baba, Osamu Ikawa |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Mathematics - Differential Geometry
Pure mathematics Generalization 010102 general mathematics Duality (mathematics) Type (model theory) 01 natural sciences Differential Geometry (math.DG) Computational Theory and Mathematics General theory 0103 physical sciences FOS: Mathematics Irreducibility 010307 mathematical physics Geometry and Topology Representation Theory (math.RT) 0101 mathematics 22E60 (Primary) 17B05 53C35 (Secondary) Commutative property Analysis Mathematics - Representation Theory Mathematics |
| Popis: | The present paper investigates a natural generalization of the duality between Riemannian symmetric pairs of compact type and those of non-compact type \`a la \'E. Cartan. The main result of this paper is to construct an explicit description of a one-to-one correspondence between non-compact pseudo-Riemannian semisimple symmetric pairs and commutative compact semisimple symmetric triads, which is called the duality theorem. Further, we develop a general theory of the duality theorem. Comment: 50 pages |
| Databáze: | OpenAIRE |
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