Quasi-Deformations of sl 2F using twisted derivationsReportar como inadecuado



 Quasi-Deformations of sl 2F using twisted derivations


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In this paper we apply a method devised in \cite{HartLarsSilv1D,LarsSilv1D} to the three-dimensional simple Lie algebra $\sll$. One of the main points of this deformation method is that the deformed algebra comes endowed with a canonical twisted Jacobi identity. We show in the present paper that when our deformation scheme is applied to $\sll$ we can, by choosing parameters suitably, deform $\sll$ into the Heisenberg Lie algebra and some other three-dimensional Lie algebras in addition to more exotic types of algebras, this being in stark contrast to the classical deformation schemes where $\sll$ is rigid. The resulting algebras are quadratic and we point out possible connections to ``geometric quadratic algebras such as the Artin-Schelter regular algebras, studied extensively since the beginning of the 90s in connection with non-commutative projective geometry.



Autor: Daniel Larsson; Sergei D. Silvestrov

Fuente: https://archive.org/







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