Invariants and orbits of the standard (SL4(C) × SL4(C) × SL2(C))-module

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Abstract

We consider the natural linear representation of the group SL4(C) × SL4(C) × SL2(C) on the space C4 C4 C2. Using the embedding of this representation in the adjoint representation of the Lie algebra E7, we classify the orbits and find the generators of the algebra of invariants.

Original languageEnglish
Pages (from-to)1003-1015
Number of pages13
JournalIzvestiya Mathematics
Volume64
Issue number5
DOIs
Publication statusPublished - 2000
Externally publishedYes

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