Eventual arm and leg widths in cocharacters of P. I. Algebras
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- by Allan Berele PDF
- Proc. Amer. Math. Soc. 134 (2006), 665-671 Request permission
Abstract:
Given a p.i. algebra $A$, we study which partitions $\lambda$ correspond to characters with non-zero multiplicities in the cocharacter sequence of $A$. We define the $\omega _0(A)$, the eventual arm width to be the maximal $d$ so that such $\lambda$ can have $d$ parts arbitrarily large, and $\omega _1(A)$ to be the maximum $h$ so that the conjugate $\lambda ’$ could have $h$ arbitrarily large parts. Our main result is that for any $A$, $\omega _0(A)\ge \omega _1(A)$.References
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Additional Information
- Allan Berele
- Affiliation: Department of Mathematics, DePaul University, Chicago, Illinois 60659
- Email: aberele@condor.depaul.edu
- Received by editor(s): August 6, 2004
- Received by editor(s) in revised form: October 22, 2004
- Published electronically: July 20, 2005
- Communicated by: Martin Lorenz
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 665-671
- MSC (2000): Primary 16R10
- DOI: https://doi.org/10.1090/S0002-9939-05-07999-2
- MathSciNet review: 2180882