The centroid of extended affine and root graded Lie algebras
By Georgia Benkart, E. Neher. 2005
65 citations recorded by the source corpus.
We develop general results on centroids of Lie algebras and apply them to determine the centroid of extended affine Lie algebras, loop-like and Kac-Moody Lie algebras, and Lie algebras graded by finite root systems.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/738be20c3bebe0996dda4c9e6160d7f941233dbc
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- On δ-derivations of Lie algebras and superalgebras (2010, result): “When taking M = L and V = A, this generalizes the corresponding statement for ordinary derivations in [Z1, Corollary 2.2], and numerous results about the centroid of some particular current Lie algebras scattered over the literature ([ BN , Corollary 2.23], [G, Remark 2.19(1)], [Kr, Lemma 5.1], [M, ”
- Biderivations and Commuting Linear Maps on Lie Algebras (2018, unknown): “M belongs to Cent ( M ) if (cid:13) ([ x; y ]) = x (cid:1) (cid:13) ( y ) for all x; y 2 L: If F is a field, and M = L , this is the usual centroid of L , which can be often computed by using known results (e.g., [1] and [8]).”