Work

Some examples of quantum groups in higher genus

Year: 1998

Type: preprint

Abstract: This is a survey of our construction of current algebras, associated with complex curves and rational differentials. We also study in detail two classes of examples. The first is the case of a rational curve with differentials $z^n dz$; these algebras are ``building blocks'' for the quantum current algebras introduced in our earlier work. The second is the case of a genus $>1$ curve $X$, endowed with a regular differential having only double zeroes.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/9801037

Authors: Enriquez, B., Rubtsov, V.

Institutions: École Polytechnique, Centre de Mathématiques Laurent Schwartz, Centre de Mathématiques Appliquées de l'École polytechnique, Université d'Angers

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1547023150

Cites: 16

Cited by: 1

Related to: 10