Quasi-Deformations of sl2(F) Using Twisted Derivations

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Abstract

In this article we apply a method devised in Hartwig, Larsson, and Silvestrov (2006) and Larsson and Silvestrov (2005a) to the simple 3-dimensional Lie algebra sl2(F). 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 article that when our deformation scheme is applied to sl2(F) we can, by choosing parameters suitably, deform sl2(F) into the Heisenberg Lie algebra and some other 3-dimensional Lie algebras in addition to more exotic types of algebras, this being in stark contrast to the classical deformation schemes where sl2(F) is rigid.

Detaljer

Författare
  • Sergei Silvestrov
  • Daniel Larsson
Enheter & grupper
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Sidor (från-till)4303-4318
TidskriftCommunications in Algebra
Volym35
Utgåva nummer12
StatusPublished - 2007
PublikationskategoriForskning
Peer review utfördJa