INVESTIGADORES
GRILLO Sergio Daniel
artículos
Título:
Twisting of homogeneous algebras
Autor/es:
SERGIO GRILLO
Revista:
JOURNAL OF PURE AND APPLIED ALGEBRA
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Año: 2004 p. 149 - 166
ISSN:
0022-4049
Resumen:
Twisting process for homogeneous algebras is defined. It consists in a particular kind of actual deformations controlled by a multiplicative cosimplicial quasicomplex C related to each homogeneous algebra. The elements implementing twist transformations are a subclass of the counital 2-cocycles of C. Such transformations are studied by means of their co-homological properties. It is shown they define an equivalence relation between homogeneous algebras, in such a way that cubic Artin-Schelter regular algebras of type S1 (including parafermionic and plactic algebras with two generators) belong to the same class.
