We state three combinatorial lemmas on Young tableaux, and show their role in the proof of the triangularity theorem about the action of Young-Capelli symmetrizers on symmetrized bitableaux. As an application, we describe in detail the way to specialize general results to the representation theory of the symmetric group and to classical invariant theory.
A. Brini, F. Regonati, A. Teolis (2005). Combinatorics and Representation Theory of Lie Superalgebras over Letterplace Superalgebras. NEW YORK : Springer.
Combinatorics and Representation Theory of Lie Superalgebras over Letterplace Superalgebras
BRINI, ANDREA;REGONATI, FRANCESCO;TEOLIS, ANTONIO
2005
Abstract
We state three combinatorial lemmas on Young tableaux, and show their role in the proof of the triangularity theorem about the action of Young-Capelli symmetrizers on symmetrized bitableaux. As an application, we describe in detail the way to specialize general results to the representation theory of the symmetric group and to classical invariant theory.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
