# Quantization of color Lie bialgebras

**Authors:** Benedikt Hurle, Abdenacer Makhlouf

arXiv: 1812.10561 · 2018-12-31

## TL;DR

This paper extends the quantization framework for Lie bialgebras to the color case, generalizing existing methods and exploring specific structures like triangular and Cartan type color Lie bialgebras.

## Contribution

It introduces a quantization approach for color Lie bialgebras, generalizing Etingof-Kazhdan's method and discussing related structures.

## Key findings

- Developed a quantization method for color Lie bialgebras
- Analyzed Drinfeld categories for color Lie bialgebras
- Quantized triangular and Cartan type color Lie bialgebras

## Abstract

The main purpose of this paper is to study Quantization of color Lie bialgebras, generalizing to color case the approach by Etingof-Kazhdan which were considered for superbialgebras by Geer. Moreover we discuss Drinfeld category, Quantization of Triangular color Lie bialgebras and Simple color Lie bialgebras of Cartan type.

## Full text

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## References

22 references — full list in the complete paper: https://tomesphere.com/paper/1812.10561/full.md

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Source: https://tomesphere.com/paper/1812.10561