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Universal Enveloping Algebras in Julia

Advisor

Wang Zhihong ([email protected])

Description

The project aims to implement the Universal Enveloping Algebra of Lie algebras in Julia. Key features of this project:

  • Implementation of Universal Enveloping Algebra from given Lie algebras
  • Allowing basic operations and manipulations on the algebras
  • Integrating with existing Computer Algebra Systems (CAS)

Requirements

  • Interest in computer algebra systems and symbolic computation
  • Basic knowledge in Lie algebras and their classifications
  • Basic knowledge in Julia programming language

Reference