On representations of graphs of type A

Autor: C. Kenneth Fan, J. Chislenko
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