Abstract
While in the previous chapter standard tableaux had a purely combinatorial meaning, in the present chapter they will acquire a more algebro-geometric interpretation. This allows one to develop some invariant theory and representation theory in a characteristic-free way. The theory is at the same time a special case and a generalization of the results of Chapter 10, §6. In fact there are full generalizations of this theory to all semisimple groups in all characteristics, which we do not discuss (cf. [L-S], [Lit], [Lit2]).
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© 2007 Springer Science+Business Media, LLC
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(2007). Standard Monomials. In: Lie Groups. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-0-387-28929-8_13
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DOI: https://doi.org/10.1007/978-0-387-28929-8_13
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-26040-2
Online ISBN: 978-0-387-28929-8
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