## Generalised Cartan invariants of symmetric groups

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- by Anton Evseev PDF
- Trans. Amer. Math. Soc.
**367**(2015), 2823-2851 Request permission

## Abstract:

Külshammer, Olsson, and Robinson developed an $\ell$-analogue of modular representation theory of symmetric groups where $\ell$ is not necessarily a prime. They gave a conjectural combinatorial description for invariant factors of the Cartan matrix in this context. We confirm their conjecture by proving a more precise blockwise version of the conjecture due to Bessenrodt and Hill.## References

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## Additional Information

**Anton Evseev**- Affiliation: School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom
- Email: A.Evseev@bham.ac.uk
- Received by editor(s): October 15, 2012
- Received by editor(s) in revised form: May 1, 2013, and May 7, 2013
- Published electronically: December 3, 2014
- Additional Notes: The author was supported by the EPSRC Postdoctoral Fellowship EP/G050244/1.
- © Copyright 2014
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc.
**367**(2015), 2823-2851 - MSC (2010): Primary 20C30
- DOI: https://doi.org/10.1090/S0002-9947-2014-06176-X
- MathSciNet review: 3301883