Uniqueness of Chevalley bases for finite-dimensional modular Lie superalgebras
Uniqueness of Chevalley bases for finite-dimensional modular Lie superalgebras
Let , and let a finite-dimensional Lie algebra or Lie superalgebra have an indecomposable Cartan matrix normalized as in the source. A Chevalley basis uniqueness conjecture. There exists only one analogue of the Chevalley basis, up to signs. The claim concerns the uniqueness of integral-structure-constant bases in the modular setting; the supplied text gives no evidence resolving it.
Sources & referencesView supporting material
Primary source
Sofiane Bouarroudj, Pavel Grozman and Dimitry Leites, “Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix”, arXiv:0710.5149 (2009).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.