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arXiv · 1504.04886

Ideals in deformation quantizations over $\mathbb{Z}/p^n\mathbb{Z}$

Akaki Tikaradze
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Abstract

Let $X$ be a smooth affine symplectic variety over $\mathbb{Z}/p\mathbb{Z},$ and let $A_1$ be an Azumaya algebra over $X.$ In this note we show that if $A$ is a deformation quantization of $A_1$ over $\mathbb{Z}/p^n\mathbb{Z}$, then any two-sided $\mathbb{Z}/p^n\mathbb{Z}$-flat ideal in $A$ is generated by central elements.

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BibTeXRIS

Akaki Tikaradze. 2015-04-19. Ideals in deformation quantizations over $\mathbb{Z}/p^n\mathbb{Z}$. https://arxiv.org/abs/1504.04886

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