An evolution in six stages based on triality: A mathematical memoir
DOI10.1142/S0129167X2140005XzbMath1495.22006OpenAlexW3153867029MaRDI QIDQ5021418
Publication date: 13 January 2022
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x2140005x
trialityrepresentationprojective spacecurvaturesymmetric spacequaternionsdiscrete seriesJordan algebraoctonionsdivision algebraparabolic subgroupWhittaker vector
Differential geometry of homogeneous manifolds (53C30) Exceptional Jordan structures (17C40) Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Research exposition (monographs, survey articles) pertaining to topological groups (22-02) Skew fields, division rings (12E15) Nonassociative division algebras (17A35)
Cites Work
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