TECHNION DEPARTMENT OF MATHEMATICS ALGEBRA SEMINAR SPEAKER: Eli Aljadeff, Technion TOPIC: On Hilbert series of relatively free G-graded algebras DATE: Thursday, January 26, 2012 TIME: 13:30 PLACE: Amado 619 ABSTRACT: Read it below, or you can also see a pdf file of the abstract at: <http://www.math.technion.ac.il/~techm/temp/20120126ALJA.pdf> (It will be available for up to a month after the date of the activity.) Let G= {g_1,g_2,...,g_s} be a finite group (order s) and let U=F< x_{g_1},...,x_{g_s}> be the free algebra (over F) generated by variables indexed by elements of G. Here F is any field of characteristic zero. We consider a certain type of equivalence relations among monomials (which we call informally ``rules'') and let J be the ideal in U generated by a set of ``rules''. We show that the Hilbert series of U/J is a rational function. (Recall that the Hilbert series of U/J is the series whose n-th coefficient is the dimension of the subspace of U/J spanned by monomials of degree at most n. (Joint work with A. Kanel-Belov) --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> To see today's activities and other future and past activities go to <http://www.math.technion.ac.il/~techm/today.html> Announcement from: Shlomo Gelaki <gelaki@math.technion.ac.il> ----------