Gradings on simple Jordan and Lie algebras
By Yuri A. Bahturin, I. Shestakov, Mikhail V. Zaicev. 2005
114 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/839aee196b466d5e1a58667140d2160536545c9c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Mikhail Kochetov
- A. Pianzola
- S. Berman
- J. Faulkner
- B. Allison
- Alberto Elduque
- C'andido Mart'in
- C. Draper
In Geometry and Topology
- Mikhail Kochetov
- A. Pianzola
- S. Berman
- J. Faulkner
- B. Allison
- Alberto Elduque
- C'andido Mart'in
- C. Draper
In Mathematical Physics
- Mikhail Kochetov
- Alberto Elduque
- B. Allison
- S. Berman
- A. Pianzola
- J. Faulkner
- C'andido Mart'in
- C. Draper
Citations in the corpus
- Classification of group gradings on simple Lie algebras of types A, B, C and D☆ (2009, unknown): “R A ] 6 A ug 2”
- Group Gradings on Simple Lie Algebras of Type "A" (2005, unknown): “R A ] 7 J un 2”
- Gradings on Finite-Dimensional Simple Lie Algebras (2009, background): “The following lemmas give the canonical forms of involutions when R has an “elementary” grading [3, 13].”
- Fine gradings on simple classical Lie algebras (2009, methodology): “missing fine gradings in this last reference. The complete list appears in our Theorem 6.9. A more conceptual approach to gradings on the simple classical Lie algebras have been considered in [BSZ01], [BShZ05], [BZ06] or [BG08], based on the study of the gradings on associative algebras. (Note that [”
- Gradings on the Albert Algebra and on $f_4$ (2007, background): “The gradings of finite dimensional simple Lie algebras, ruling out al, d4 and the exceptional cases, are described in [7].”
- Multiloop realization of extended affine Lie algebras and Lie tori (2007, methodology): “We expect that the approach will also work for (at least some) other types, using classical and recent results about sequences of commuting automorphisms or gradings (see for example [BFM, BSZ , GP, KS]).”