On representations of graphs of type A
Autor: | C. Kenneth Fan, J. Chislenko |
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Rok vydání: | 1992 |
Předmět: | |
Zdroj: | Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences. 439:687-690 |
ISSN: | 2053-9177 0962-8444 |
DOI: | 10.1098/rspa.1992.0178 |
Popis: | We investigate the number of orbits in a variety Λ v associated to Dynkin graphs of type A n as defined by G. Lusztig. For n < 4, we show that there is only a finite number of indecomposable representations in Λ v up to isomorphism. This implies that Λ v consists of finitely many orbits for any V . For each n > 4, we show that there exist V for which Λ v contains infinitely many orbits. |
Databáze: | OpenAIRE |
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