Standard Complex for Quantum Lie Algebras

Details Standard Complex for Quantum Lie Algebras Standard Complex for Quantum Lie Algebras

2000-10-06

arxiv.org/abs/math/0010060v1

Mathematics

Quantum Algebra

10 pages, LaTeX. Report given at XXIII Int. Colloquium on Group Theoretical Methods in Physics, July 31 - August 05, 2000, Dub

Scientific paper

10.1134/1.1432906

For a quantum Lie algebra $\Gamma$, let $\Gamma^\wedge$ be its exterior extension (the algebra $\Gamma^\wedge$ is canonically defined). We introduce a differential on the exterior extension algebra $\Gamma^\wedge$ which provides the structure of a complex on $\Gamma^{\wedge}$. In the situation when $\Gamma$ is a usual Lie algebra this complex coincides with the "standard complex". The differential is realized as a commutator with a (BRST) operator $Q$ in a larger algebra $\Gamma^\wedge[\Omega]$, with extra generators canonically conjugated to the exterior generators of $\Gamma^{\wedge}$. A recurrent relation which defines uniquely the operator $Q$ is given.

Affiliated with

Also associated with

No associations

Rating

Standard Complex for Quantum Lie Algebras 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 Standard Complex for Quantum Lie Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Standard Complex for Quantum Lie Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-300502