Classification of irreducible integrable representations for the full toroidal Lie algebras (Q557060)

A full toroidal Lie algebra is the semi-direct product of the algebra of all derivations of the algebra of Laurent polynomials in \(k\) variables and the corresponding toroidal Lie algebra with common extension. In the paper under review the authors present a complete classification of all irreducible integrable representations with finite-dimensional weight spaces for the full toroidal Lie algebras. The arguments are based on the recent results of the first author obtained in [\textit{S. Eswara Rao}, J. Algebra 277, No. 1, 318--348 (2004; Zbl 1106.17001) and J. Math. Phys. 45, No. 8, 3322--3333 (2004; Zbl 1071.17020)].