Deformation quantization of a hessian KV- structure on R²

Q: What type of study is this?

This is a Quantitative Study study.

Herguey MOPENG; Prosper Rosaire Mama Assandje; Joseph Dongho; Armand TSIMI

doi:10.48550/arxiv.2509.23228

September 27, 2025Open Access

Deformation quantization of a hessian KV- structure on R²

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Key Points

The study shows how deformation quantization preserves geometric properties of hessian structures.
Key findings include the establishment of relationships between deformation theory and hessian geometry.
This research employs techniques from koszul-vinberg algebras to investigate quantum structures.
The implications may extend to broader applications in quantum geometry and algebraic structures.

Implication

Analysis of deformation quantization in hessian structures using koszul-vinberg algebras, suggesting links to quantum geometry.

Abstract

This paper studies the quantization of the deformation of Hessian structures on a two-dimensional vector space, in the framework of Koszul-Vinberg algebras. We analyze how Hessian structures can be deformed to obtain quantum structures while preserving certain geometric and algebraic properties. The aim of the paper is to establish links between deformation theory and Hessian geometry.

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Cite This Study

MOPENG et al. (2025) studied this question.

synapsesocial.com/papers/68f6196ee0bbbc94fac36575 https://doi.org/10.48550/arxiv.2509.23228

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Deformation quantization of a hessian KV- structure on R²

Key Points

Implication

Abstract

Discussion

Cite This Study

Deformation quantization of a hessian KV- structure on R²

Key Points

Implication

Abstract

Discussion

Cite This Study

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