A NEW FAMILY OF ALGEBRAS WHOSE REPRESENTATION SCHEMES ARE SMOOTH

作者:Ardizzoni Alessandro*; Galluzzi Federica; Vaccarino Francesco
来源:Annales de l'Institut Fourier, 2016, 66(3): 1261-1277.
DOI:10.5802/aif.3037

摘要

We give a necessary and sufficient smoothness condition for the scheme parameterizing the n-dimensional representations of a finitely generated associative algebra over an algebraically closed field. In particular, our result implies that the points M is an element of Rep(A)(n)(k) satisfying Ext(A)(2)(M, M) = 0 are regular. This generalizes well-known results on finite-dimensional algebras to finitely generated algebras.

  • 出版日期2016