Tuesday, December 8, 14:00, 7.527
Paula Carvalho (Porto), The automorphism group and the skew field of
fractions of Noetherian Down-Up algebras.
Down-Up algebras were introduced by G. Benkart and T. Roby in 1998. They are
associative algebras generated by two generators satisfying two relations
depending on three parameters. In the first part of the talk we will revise
some properties of these algebras and describe the automorphism group of
some Noetherian Down-Up algebras. This work is based on a paper with Samuel
Lopes where the automorphism group of a larger class of algebras is studied.
In the second part of the talk the rational equivalence of these algebras is