Author

Rui Zhou

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Preprint Sep 2026

Compactness Principles for CSPs and the Axiom of Chocie

We can associate a compactness principle $\mathcal K_{\mathcal{D}}$ to the Constraint Satisfaction Problem (CSP) with constraint library $\mathcal{D}$. These principles were studied by Kat\'ay, T\'oth, and Vidny\'anszky and by Rorabaugh, Tardif, and Wehlau. We expand their work comparing the strength of $K_{\mathcal{D}...

Anthony Li, Ishin Shan, Matthew Snodgrass et al. · 0 citations

Preprint Oct 2026

Parabolic induction for Takiff algebras and character formulas in Chari's category $\widetilde{\mathcal{O}}$

Let $\mathfrak{g}$ be a finite-dimensional complex semisimple Lie algebra, and let $\mathcal{C}_N\mathfrak{g}=\mathfrak{g}\otimes (\mathbb{C}[t]/t^{N+1}\mathbb{C}[t])$ denote the $N$-th Takiff algebra of $\mathfrak{g}$. We introduce a notion of parabolic subalgebras of $\mathcal{C}_N\mathfrak{g}$ and classify them in t...

Fu-Lin Chen, Xin Huang, Rui Zhou · 0 citations