info:eu-repo/semantics/article
On the representation theory of the Drinfeld Double of the Fomin-Kirillov Algebra FK 3
Fecha
2018-09-13Registro en:
Pogorelsky, Barbara; Vay, Cristian Damian; On the representation theory of the Drinfeld Double of the Fomin-Kirillov Algebra FK 3; Springer; Algebras and Representation Theory; 13-9-2018; 1-28
1386-923X
1572-9079
CONICET Digital
CONICET
Autor
Pogorelsky, Barbara
Vay, Cristian Damian
Resumen
Let D be the Drinfeld double of FK3#S3 . We have described the simple D-modules in Pogorelsky and Vay (Adv. Math. 301, 423-457, 2016). In the present work, we describe the indecomposable summands of the tensor products between them. We classify the extensions of the simple modules and show that D is of wild representation type. We also investigate the projective modules and their tensor products.