Higher-dimensional representations of \(\mathsf {SL}_2\) and its real forms via Plücker embedding

DOI10.1007/S00006-017-0765-3zbMath1385.22003OpenAlexW2591537353MaRDI QIDQ1695151

Danail Brezov

Publication date: 7 February 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-017-0765-3

zbMATH Keywords

Plücker embeddingtwistor correspondencespin groupEuler decompositionsWigner decomposition

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Lie algebras of Lie groups (22E60)

Related Items (3)

On complex kinematics and relativity ⋮ Factorization and generalized roots of dual complex matrices with Rodrigues' formula ⋮ Projective view on motion groups I: Kinematics and relativity

Cites Work

• A decoupled solution to the generalized Euler decomposition problem in \(\mathbb R^3\) and \(\mathbb R^{2, 1}\)
• Geometric phases in classical and quantum mechanics
• Vector parameters in classical hyperbolic geometry
• The split algebras and noncompact Hopf maps
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