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No isomorphism between the affine algebra and the N=2 superconformal algebras
Beatriz Gato-Rivera
Since 1999 it became obvious that the would be `isomorphism' between the affine algebra and the N=2 superconformal algebras, proposed by some authors, simply does not…
The Adapted Ordering Method for the Representation Theory of Lie Algebras and Superalgebras and their Generalizations
Beatriz Gato-Rivera
In 1998 the Adapted Ordering Method was developed for the study of the representation theory of the superconformal algebras in two dimensions. It allows: to determine the maximal d…
The Adapted Ordering Method for Lie Algebras and Superalgebras and their Generalizations
Beatriz Gato-Rivera
In 1998 the Adapted Ordering Method was developed for the representation theory of the superconformal algebras in two dimensions. It allows: to determine maximal dimensions for a g…
The Adapted Ordering Method in Representation Theory
Beatriz Gato-Rivera
In 1998 the Adapted Ordering Method was developed for the representation theory of the superconformal algebras. This method, which proves to be very powerful, can be applied to mos…
Recent Results on N=2 Superconformal Algebras
Beatriz Gato-Rivera
In the last six years remarkable developments have taken place concerning the representation theory of N=2 superconformal algebras. Here we present the highlights of such developme…
A Note concerning Subsingular Vectors and Embedding Diagrams of the N=2 Superconformal Algebras
Beatriz Gato-Rivera
Subsingular vectors of the N=2 superconformal algebras were discovered, and examples given, in 1996. Shortly afterwards Semikhatov and Tipunin claimed to have obtained a complete c…