Codimensions of polynomial identities of representations of Lie algebras
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Abstract:
Consider a representation $\rho \colon L \to \mathfrak {gl}(V)$ where $L$ is a Lie algebra and $V$ is a finite dimensional vector space. We prove the analog of Amitsur’s conjecture on asymptotic behavior for codimensions of polynomial identities of $\rho$.References
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Additional Information
- A. S. Gordienko
- Affiliation: Memorial University of Newfoundland, St. John’s, NL, Canada
- Email: alexey.gordienko@vub.ac.be
- Received by editor(s): June 17, 2011
- Received by editor(s) in revised form: December 15, 2011
- Published electronically: June 18, 2013
- Additional Notes: This work was supported by postdoctoral fellowships from the Atlantic Association for Research in Mathematical Sciences (AARMS), the Atlantic Algebra Centre (AAC), Memorial University of Newfoundland (MUN), and the Natural Sciences and Engineering Research Council of Canada (NSERC)
- Communicated by: Kailash C. Misra
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 3369-3382
- MSC (2010): Primary 17B01; Secondary 16R10, 17B10, 20C30
- DOI: https://doi.org/10.1090/S0002-9939-2013-11622-9
- MathSciNet review: 3080160