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Turkish Journal of Physics

Conditionally Invariant Equations from Subsingular Vectors

Authors

V. K. DOBREV

DOI

-

Abstract

We discuss the relation between subsingular vectors of Verma modules over semisimple Lie algebras {\cal G} and differential equations which are conditionally {\cal G}-invariant. We treat the example o the conformal algebra su(2,2) and its complexification sl(4). The conditionally invariant equations are the d'Alembert equation and a new equation arising from a subsingular vector proposed by Bernstein-Gel'fand-Gel'fand.

First Page

368

Last Page

376

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