New Singular Gelfand-Tsetlin gl(n)-Modules of Index 2

Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

New Singular Gelfand-Tsetlin gl(n)-Modules of Index 2

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Author(s):	Futorny, Vyacheslav ; Grantcharov, Dimitar ; Ramirez, Luis Enrique Total Authors: 3
Document type:	Journal article
Source:	Communications in Mathematical Physics; v. 355, n. 3, p. 1209-1241, NOV 2017.
Web of Science Citations:	8
Abstract
Singular Gelfand-Tsetlin modules of index 2 are modules whose tableaux bases may have singular pairs but no singular triples of entries on each row. In this paper we construct singular Gelfand-Tsetlin modules for arbitrary singular character of index 2. Explicit bases of derivative tableaux and the action of the generators of gl(n) are given for these modules. Our construction leads to new families of irreducible Gelfand-Tsetlin modules and also provides tableaux bases for some simple Verma modules. (AU)

FAPESP's process:	14/09310-5 - Algebraic structures and their representations
Grantee:	Vyacheslav Futorny
Support Opportunities:	Research Projects - Thematic Grants

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