Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Faculty Publications Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Pal, Souvik Title A name given to the resource Classification of irreducible Harish-Chandra modules over full toroidal Lie algebras and higher-dimensional Virasoro algebras Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2025 Source A related resource from which the described resource is derived Mathematical Research Letters;Volume;32;Issue;4;pp.1197-1248 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.4310/MRL.251124182522" target="_blank" rel="noreferrer noopener">https://doi.org/10.4310/MRL.251124182522</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105032239576?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105032239576?origin=resultslist</a> Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Pal S., Department of Mathematics, Indian Institute of Science, Karnataka, Bengaluru, 560012, India, Department of Sciences and Humanities, CHRIST University, Bengaluru, 560 074, India Description An account of the resource In this paper, we classify the irreducible Harish-Chandra modules over the full toroidal Lie algebra, which is a natural higherdimensional analogue of the affine-Virasoro algebra. In particular, we complete the classification of irreducible bounded modules studied by Billig for non-zero level modules [Int. Math. Res. Not. 2006]. As a by-product, we also obtain the classification of irreducible Harish-Chandra modules over the higher-dimensional Virasoro algebra, which was introduced by RaoMoody [Comm. Math. Phys. 1994], thereby generalizing the well-known result of O. Mathieu [Invent. Math. 1992] for the classical Virasoro algebra. More precisely, we show that any irreducible Harish-Chandra module over the higher-dimensional Virasoro algebra turns out to be either a quotient of a module of tensor fields on a torus or a highest weight type module up to a twist of an automorphism, as conjectured by Eswara Rao in 2004. 2025, International Press, Inc. All rights reserved. Publisher An entity responsible for making the resource available International Press, Inc. Relation A related resource ISSN: 10732780; Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource All Open Access; Green Open Access Format The file format, physical medium, or dimensions of the resource online