## Generalized exponents of small representations. I

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- by Bogdan Ion
- Represent. Theory
**13**(2009), 401-426 - DOI: https://doi.org/10.1090/S1088-4165-09-00359-8
- Published electronically: September 10, 2009
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## Abstract:

This is the first paper in a sequence devoted to giving manifestly non-negative formulas for generalized exponents of small representations in all types. The main part of this paper illustrates the overall structure of the argument on root systems of type $A$ and discusses the relationship with the Lascoux-Schützenberger charge formula## References

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## Bibliographic Information

**Bogdan Ion**- Affiliation: Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260; Algebra and Number Theory Research Center, Faculty of Mathematics and Computer Science, University of Bucharest, 14 Academiei St., Bucharest, Romania
- MR Author ID: 645344
- Email: bion@pitt.edu
- Received by editor(s): April 18, 2009
- Received by editor(s) in revised form: June 26, 2009
- Published electronically: September 10, 2009
- © Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Represent. Theory
**13**(2009), 401-426 - MSC (2000): Primary 17B10
- DOI: https://doi.org/10.1090/S1088-4165-09-00359-8
- MathSciNet review: 2540703