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arXiv · 1210.2679

Generalised Cartan invariants of symmetric groups

Anton Evseev
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Abstract

K\"ulshammer, Olsson, and Robinson developed an l-analogue of modular representation theory of symmetric groups where l 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 conjecture due to Bessenrodt and Hill.

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Anton Evseev. 2012-10-09. Generalised Cartan invariants of symmetric groups. https://arxiv.org/abs/1210.2679

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