A quantized Tits-Kantor-Koecher algebra

Abstract

We propose a quantum analogue of a Tits-Kantor-Koecher algebra with a Jordan torus as an coordinated algebra by looking at the vertex operator construction over a Fock space.

12 pages, to appear in Alg. Represent. Theory

References in corpus (2)

• Quantum vertex representations via finite groups and the McKay correspondence
• $U_q({\widehat{\mathfrak{gl}}}_{{}_N})$ action on ${\widehat{\mathfrak{gl}}}_{{}_N}$ -modules and quantum toroidal algebras

Cited by in corpus (2)

• A Twisted Quantum Toroidal Algebra
• Twisted quantum toroidal algebras $T_q^{-}(\mathfrak{g})$