2 problems

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Finiteness conjecture for the scale factors of primitive ideals
Finiteness conjecture. The constancy of $q_I$ on coherent families should hold without any assumption on $\Gamma$ , and the entire set
Conjectureopenfinite-w-algebras goldie-rank primitive-idealsarXiv posted 2 days ago
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Joseph's conjecture on normalized Goldie-rank polynomials
Let $\mathbf c$ be a left cell and let $p_w$ be the polynomial associated with each $w\in\mathbf c$ as in the paper. Joseph's conjecture. For every $w\in\mathbf c$ , there exists a…
Conjectureopengoldie-rank primitive-ideals representation-theoryarXiv posted 2 days ago

Finiteness conjecture for the scale factors of primitive ideals