The Role of the Canonical Element in the Quantized Algebra of Differential Operators $\A\rtimes\U$

Details The Role of the Canonical Element in the Quantized Algebra of Differential Operators $\A\rtimes\U$ The Role of the Canonical Element in the Quantized Algebra of Differential Operators $\A\rtimes\U$

1993-10-15

arxiv.org/abs/hep-th/9310100v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LBL-33274 and UCB-PTH-92/42

Scientific paper

We review the construction of the cross product algebra $\A\rtimes\U$ from two dually paired Hopf algebras $\U$ and $\A$. The canonical element in $\U \otimes \A$ is then introduced, and its properties examined. We find that it is useful for giving coactions on $\A\rtimes\U$, and it allows the construction of objects with specific invariance properties under these coactions. A ``vacuum operator'' is found which projects elements of $\A\rtimes\U$ onto said objects. We then discuss bicovariant vector fields in the context of the canonical element.

Affiliated with

Also associated with

No associations

Rating

The Role of the Canonical Element in the Quantized Algebra of Differential Operators $\A\rtimes\U$ 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 The Role of the Canonical Element in the Quantized Algebra of Differential Operators $\A\rtimes\U$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Role of the Canonical Element in the Quantized Algebra of Differential Operators $\A\rtimes\U$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-619071