On conjugacy of Cartan subalgebras in non-fgc Lie tori
Vladimir Chernousov, Erhard Neher, Arturo Pianzola
TL;DR
This paper proves that all Cartan subalgebras in generic Lie tori of type A are conjugate, solving a longstanding open problem in the structure theory of Extended Affine Lie Algebras.
Contribution
It establishes the conjugacy of Cartan subalgebras in generic Lie tori of type A, addressing a key open problem in the field.
Findings
Proves conjugacy of Cartan subalgebras in generic Lie tori of type A
Completes the classification problem related to Extended Affine Lie Algebras
Solves an open problem in the structure theory of Lie tori
Abstract
We establish the conjugacy of Cartan subalgebras for generic Lie tori "of type A". This is the only conjugacy problem of Lie tori related to Extended Affine Lie Algebras that remained open.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry