JournalsprimsVol. 34, No. 2pp. 155–177

Quantum Toroidal Algebras and Their Vertex Representations

  • Yoshihisa Saito

    University of Tokyo, Japan
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Abstract

We construct the vertex representations of the quantum toroidal algebras Uq(SIn+ 1,tor) . In the classical case the vertex representations are not irreducible. However in the quantum case they are irreducible.

Cite this article

Yoshihisa Saito, Quantum Toroidal Algebras and Their Vertex Representations. Publ. Res. Inst. Math. Sci. 34 (1998), no. 2, pp. 155–177

DOI 10.2977/PRIMS/1195144759