Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities


Authors: Allan Berele and Amitai Regev
Journal: Trans. Amer. Math. Soc. 360 (2008), 5155-5172
MSC (2000): Primary 16R10
Published electronically: May 27, 2008
MathSciNet review: 2415069
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ A$ be a p. i. algebra with 1 in characteristic zero, satisfying a Capelli identity. Then the cocharacter sequence $ c_n(A)$ is asymptotic to a function of the form $ an^g\ell^n$, where $ \ell \in \mathbb{N}$ and $ g \in \mathbb{Z}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 16R10

Retrieve articles in all journals with MSC (2000): 16R10


Additional Information

Allan Berele
Affiliation: Department of Mathematics, DePaul University, Chicago, Illinois 60614
Email: aberele@condor.depaul.edu

Amitai Regev
Affiliation: Department of Theoretical Mathematics, Weizmann Institute, Rehovot, Israel
Email: amitai.regev@wisdom.weizmann.ac.il

DOI: http://dx.doi.org/10.1090/S0002-9947-08-04500-5
PII: S 0002-9947(08)04500-5
Keywords: Polynomial identities, cocharacter sequence
Received by editor(s): June 5, 2006
Published electronically: May 27, 2008
Additional Notes: The work of the first author was supported by both the Faculty Research Council of DePaul University and the National Security Agency, under Grant MDA904-500270. The United States Government is authorized to reproduce and distribute reprints notwithstanding any copyright notation herein.
The work of the second author was partially supported by ISF grant 947-04.
Article copyright: © Copyright 2008 American Mathematical Society