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Noncommutative Minimal Surfaces

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arxiv 1301.0757 v1 pith:LEIE6GSL submitted 2012-12-30 math.QA math.DG

Joakim Arnlind , Jaigyoung Choe , Jens Hoppe This is my paper · ORCID
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We define noncommutative minimal surfaces in the Weyl algebra, and give a method to construct them by generalizing the well-known Weierstrass-representation.

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  1. Quantization of Algebraic Varieties Defined by Casimir Polynomials via Matrix Regularization: Fuzzy $S^7$ and Beyond

    hep-th 2026-08 conditional novelty 6.0 of 10

    A weak matrix regularization of any single-Casimir level set of a compact semisimple Lie algebra is built from reducible representations whose coadjoint orbits densely fill the variety, with fuzzy S^7 worked out explicitly.

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