Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665275 | Advances in Mathematics | 2015 | 26 Pages |
Abstract
For a simple complex Lie algebra gg we study the space of invariants A=(⋀g⁎⊗g⁎)gA=(⋀g⁎⊗g⁎)g, which describes the isotypic component of type gg in ⋀g⁎⋀g⁎, as a module over the algebra of invariants (⋀g⁎)g(⋀g⁎)g. As main result we prove that A is a free module, of rank twice the rank of gg, over the exterior algebra generated by all primitive invariants in (⋀g⁎)g(⋀g⁎)g, with the exception of the one of highest degree.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Corrado De Concini, Paolo Papi, Claudio Procesi,