FRT Construction and Equipped Quantum Linear Spaces

Details FRT Construction and Equipped Quantum Linear Spaces FRT Construction and Equipped Quantum Linear Spaces

2002-05-31

arxiv.org/abs/math/0205334v2

Mathematics

Quantum Algebra

13 pages

Scientific paper

We show there exists a rigid monoidal category formed out by quantum linear spaces with an additional structure, such that FRT bialgebras and corresponding rectangular generalizations are its internal coEnd and coHom objects, respectively. This enable us to think of them as the coordinate rings of a quantum space of homomorphisms that preserve the mentioned structure. The well known epimorphisms between FRT bialgebras and quantum semigroups (defined by Manin) translate into `inclusions' of quantum spaces, as the space of endomorphisms of a metric linear space V is included in gl(V). Our study is developed for conic quantum spaces.

Affiliated with

Also associated with

No associations

Rating

FRT Construction and Equipped Quantum Linear Spaces 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 FRT Construction and Equipped Quantum Linear Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and FRT Construction and Equipped Quantum Linear Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-75910