Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-04-07
Physics
High Energy Physics
High Energy Physics - Theory
28 pages
Scientific paper
We show that some factors of the universal R-matrix generate a family of twistings for the standard Hopf structure of any quantized contragredient Lie (super)algebra of finite growth. As an application we prove that any two isomorphic superalgebras with different Cartan matrices have isomorphic q-deformations (as associative superalgebras) and their standard comultiplications are connected by such twisting. We present also an explicit relation between the generators of the second Drinfeld's realization and Cartan-Weyl generators of quantized affine nontwisted Kac-Moody algebras. Further development of the theory of quantum Cartan-Weyl basis, closely related with this isomorphism, is discussed. We show that Drinfeld's formulas of a comultiplication for the second realization are a twisting of the standard comultiplication by factors of the universal R-matrix. Finally, properties of the Drinfeld's comultiplication are considered.
Khoroshkin Sergei
Tolstoy Valeriy N.
No associations
LandOfFree
Twisting of quantum (super)algebras. Connection of Drinfeld's and Cartan-Weyl realizations for quantum affine algebras 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 Twisting of quantum (super)algebras. Connection of Drinfeld's and Cartan-Weyl realizations for quantum affine algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Twisting of quantum (super)algebras. Connection of Drinfeld's and Cartan-Weyl realizations for quantum affine algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-85031