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|Type:||Artigo de periódico|
|Title:||Prime representations from a homological perspective|
|Abstract:||We explore the relation between self extensions of simple representations of quantum affine algebras and the property of a simple representation being prime. We show that every nontrivial simple representation has a nontrivial self extension. Conversely, we prove that if a simple representation has a unique nontrivial self extension up to isomorphism, then its Drinfeld polynomial is a power of the Drinfeld polynomial of a prime representation. It turns out that, in the -case, a simple module is prime if and only if it has a unique nontrivial self extension up to isomorphism. It is tempting to conjecture that this is true in general and we present a large class of prime representations satisfying this homological property.|
|Subject:||Quantum affine algebras|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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