Invariants of Lie algebras extended over commutative algebras without unit

Details Invariants of Lie algebras extended over commutative algebras without unit Invariants of Lie algebras extended over commutative algebras without unit

2009-01-11

arxiv.org/abs/0901.1395v2

J. Nonlin. Math. Phys. 17 (2010), Suppl. 1, 87-102

Mathematics

Rings and Algebras

14 pages; v2: more thorough explanations concerning derivation algebras; lot of stylistic and some bibliographic changes, corr

Scientific paper

10.1142/S1402925110000817

We establish results about the second cohomology with coefficients in the trivial module, symmetric invariant bilinear forms and derivations of a Lie algebra extended over a commutative associative algebra without unit. These results provide a simple unified approach to a number of questions treated earlier in completely separated ways: periodization of semisimple Lie algebras (Anna Larsson), derivation algebras, with prescribed semisimple part, of nilpotent Lie algebras (Benoist), and presentations of affine Kac-Moody algebras.

Affiliated with

Also associated with

No associations

Rating

Invariants of Lie algebras extended over commutative algebras without unit does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Invariants of Lie algebras extended over commutative algebras without unit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariants of Lie algebras extended over commutative algebras without unit will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-257902