Mathematics – Quantum Algebra
Scientific paper
2005-08-23
Mathematics
Quantum Algebra
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
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.
Profile ID: LFWR-SCP-O-269373