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.
2005
Computer Algebra and Geometric Algebra with Applications
239
257
A. Brini, F. Regonati, A. Teolis (2005). Combinatorics and Representation Theory of Lie Superalgebras over Letterplace Superalgebras. NEW YORK : Springer.
A. Brini; F. Regonati; A. Teolis
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/9776
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