Polyhedral Realizations of Crystal Bases and Braid-type Isomorphisms

Details Polyhedral Realizations of Crystal Bases and Braid-type Isomorphisms Polyhedral Realizations of Crystal Bases and Braid-type Isomorphisms

1999-06-15

arxiv.org/abs/math/9906100v1

Mathematics

Quantum Algebra

LaTeX(2e), 19 pages

Scientific paper

We review the polyhedral realizations of crystal bases in the former half and in the latter half, we introduce braid-type isomorphisms for some rank 2 finite type crystals. Using this isomorphisms, for semi-simple Lie algebra we can show that polyhedral realizations can be obtained in the lattice of finite rank which coincides with the length of the longest element in the associated Weyl group.

Affiliated with

Also associated with

No associations

Rating

Polyhedral Realizations of Crystal Bases and Braid-type Isomorphisms 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 Polyhedral Realizations of Crystal Bases and Braid-type Isomorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polyhedral Realizations of Crystal Bases and Braid-type Isomorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-383806