Post-Lie Algebra Structures on the Lie Algebragl(2,C)

L∞ algebra structures of Lie algebra deformations

In this paper,we will show how to kill the obstructions to Lie algebra deformations via a method which essentially embeds a Lie algebra into Strong homotopy Lie algebra or L∞ algebra. All such obstructions have been transfered to the revelvant L∞ algebras which contain only three terms.

PostLie algebra structures on the Lie Algebra SL(2,Ca)

Biquaternions Lie Algebra and Complex-Projective Spaces

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On Lie algebra obstructions

A basic problem in the theory of Lie algebra extensions concerns a given homomorphism x of a Lie algebra L into the Lie algebra of outer derivations of a Lie algebra B . In analogy with the theory of group extensions, Mori and HochschiId developed the concept of an obstruction to x being the homomorphism defined by some Lie algebra extension of B by L . This note considers an alternative approa...

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.