Derivations and invariant forms of Jordan and alternative tori

DOI10.1090/S0002-9947-02-03013-1zbMath1116.17305OpenAlexW1696302491MaRDI QIDQ4787453

Erhard Neher, Yoji Yoshii

Publication date: 7 January 2003

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03013-1

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Structure theory for Jordan algebras (17C10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Division algebras and Jordan algebras (17C60)

Related Items (11)

On conjugacy of Cartan subalgebras in non-FGC Lie tori ⋮ Vertex operator representations for TKK algebras ⋮ Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core ⋮ Structurable Tori ⋮ On conjugacy of Cartan subalgebras in extended affine Lie algebras ⋮ Graded automorphism group of TKK algebra ⋮ Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey ⋮ Tits-Kantor-Koecher Superalgebras of Jordan Superpairs Covered by Grids ⋮ Locally loop algebras and locally affine Lie algebras ⋮ Extension Data and Their Lie Algebras ⋮ Lie tori of type \(B_2\) and graded-simple Jordan structures covered by a triangle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalizations of Witt algebras over a field of characteristic zero
• Derivations and central extensions of finitely generated graded Lie algebras
• Zelmanov's prime theorem for quadratic Jordan algebras
• Simple Lie algebras of Witt type
• TKK algebras and vertex operator representations
• Cohomologies and deformations of right-symmetric algebras
• Coordinate algebras of extended affine Lie algebras of type \(A_1\)
• Classification of division \({\mathbb Z}^n\)-graded alternative algebras.
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• New generalized simple Lie algebras of Cartan type over a field with characteristic 0
• Minimal identities for right-symmetric algebras
• Spiegelungsräume und homogene symmetrische Räume
• Homotopes of alternative algebras
• ROOT-GRADED LIE ALGEBRAS WITH COMPATIBLE GRADING
• Derivations and Invariant Forms of Lie Algebras Graded by Finite Root Systems
• Jordan centroids
• Extended affine Lie algebras and their root systems
• Derivations, isomorphisms, and second cohomology of generalized Witt algebras
• Quantum $n$-space as a quotient of classical $n$-space
• The Alternative Torus and the Structure of Elliptic Quasi-Simple Lie Algebras of Type A 2
• Imbedding of Jordan Algebras into Lie Algebras. I
• Derivations of skew polynomial rings
• The root system and the core of an extended affine Lie algebra.

This page was built for publication: Derivations and invariant forms of Jordan and alternative tori