Strongly Split Poisson Algebras

DOI10.1007/978-3-319-32902-4_11zbMath1390.17032OpenAlexW2553069355MaRDI QIDQ5738739

Diouf Mame Cheikh, Antonio Jesús Calderón Martín

Publication date: 12 June 2017

Published in: Non-Associative and Non-Commutative Algebra and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-32902-4_11

zbMATH Keywords

direct limitroot spacerootstructure theorystrongly graded algebralocally finite algebrasplit Poisson algebra

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Poisson algebras (17B63)

Cites Work

• Projective geometry from Poisson algebras
• Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras
• On split Lie algebras with symmetric root systems
• Gradings on finite-dimensional simple Lie algebras
• Finite-dimensional non-commutative Poisson algebras
• Non-commutative Poisson algebra structures on affine Kac-Moody algebras
• The structure of locally finite split Lie algebras
• Integrable roots in split graded Lie algebras
• FINITE-DIMENSIONAL NON-COMMUTATIVE POISSON ALGEBRAS. II
• Hilbert Space Methods in the Theory of Lie Algebras
• Boundary Lax pairs from non-ultra-local Poisson algebras
• Jacobson radicals and maximal ideals of normalizing extensions applied toZ-graded rings
• On involutive Lie algebras having a Cartan decomposition
• On the structure of split non-commutative Poisson algebras
• Simple Systems of Roots in L ∗ -Algebras

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