The No Gap Conjecture for tame hereditary algebras
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DOI: 10.1016/j.jpaa.2018.05.013
Abstract: The "No Gap Conjecture" of Br\"ustle-Dupont-P\'erotin states that the set of lengths of maximal green sequences for hereditary algebras over an algebraically closed field has no gaps. This follows from a stronger conjecture that any… read more here.
Keywords: tame hereditary; conjecture tame; gap conjecture; conjecture ... See more keywords
Aldous’s spectral gap conjecture for normal sets
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DOI: 10.1090/tran/8155
Abstract: Let $G$ be a finite group and $\Sigma\subseteq G$ a symmetric subset. Every eigenvalue of the adjacency matrix of the Cayley graph $Cay\left(G,\Sigma\right)$ is naturally associated with some irreducible representation of $G$. Aldous' spectral gap… read more here.
Keywords: normal sets; gap conjecture; spectral gap; conjecture ... See more keywords