A Twisted Quantum Toroidal Algebra

Abstract

As an analog of the quantum TKK algebra, a twisted quantum toroidal algebra of type A_1 is introduced. Explicit realization of the new quantum TKK algebra is constructed with the help of twisted quantum vertex operators over a Fock space.

12 pages

References in corpus (3)

• 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
• A quantized Tits-Kantor-Koecher algebra

Cited by in corpus (1)

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