A quantum octonion algebra

DOI10.1090/S0002-9947-99-02415-0zbMath0931.17011arXivmath/9801141OpenAlexW1875832200MaRDI QIDQ4699621

José María Pérez-Izquierdo, Georgia M. Benkart

Publication date: 17 November 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9801141

zbMATH Keywords

representationsquantum groupsquantum Clifford algebraquantum octonion algebraquantum para-Hurwitz algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Composition algebras (17A75)

Related Items (4)

Models of the octonions and \(G_2\). ⋮ Spin angular momentum of proton spin puzzle in complex octonion spaces ⋮ Hopf algebras in non-associative Lie theory ⋮ Skew Clifford algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
• \(R\)-commutative geometry and quantization of Poisson algebras
• The melikyan algebras as lie algebras of the type G₂
• Algebras with nondegenerate associative symmetric bilinear forms permitting composition
• Algebras with nondegenerate associative symmetric bilinear forms permitting composition, II
• Quantum octonions
• Composition algebras with associative bilinear form

This page was built for publication: A quantum octonion algebra