Abstract:
We describe a construction of the quantum-deformed affine algebras using
vertex operators in the free field theory. We prove the Serre relations for
the Borel subalgebras of quantum affine algebras; in particular, we
consider the ˆsl2 case in detail. We also construct the generators
corresponding to the positive roots of ˆsl2.
Citation:
S. E. Klevtsov, “Toward a vertex operator construction of quantum affine algebras”, TMF, 154:2 (2008), 240–248; Theoret. and Math. Phys., 154:2 (2008), 201–208