Some remarks on quantized Lie superalgebras of classical type

Mathematics – Quantum Algebra

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

This version has minor corrections asked for by the referee

Scientific paper

In this paper we use the Etingof-Kazhdan quantization of Lie bi-superalgebras to investigate some interesting questions related to Drinfeld-Jimbo type superalgebra associated to a Lie superalgebra of classical type. It has been shown that the D-J type superalgebra associated to a Lie superalgebra of type A-G, with the distinguished Cartan matrix, is isomorphic to the E-K quantization of the Lie superalgebra. The first main result in the present paper is to extend this to arbitrary Cartan matrices. This paper also contains two other main results: 1) a theorem stating that all highest weight modules of a Lie superalgebra of type A-G can be deformed to modules over the corresponding D-J type superalgebra and 2) a super version of the Drinfeld-Kohno Theorem.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Some remarks on quantized Lie superalgebras of classical type 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 Some remarks on quantized Lie superalgebras of classical type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some remarks on quantized Lie superalgebras of classical type will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-269373

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.