Advances in Algebraic Structures: Representation Theory and Lie Groups

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 21 April 2025 | Viewed by 13

Special Issue Editor


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Guest Editor
Department of Mathematics, Georgia College & State University, Milledgeville, GA, USA
Interests: lie algebras; leibniz algebras and their representations; leibniz algebra cohomology

Special Issue Information

Dear Colleagues,

Understanding the structure of Lie groups using representation theory has become an important topic of research in modern mathematics with a wide variety of applications in many fields, ranging from differential geometry, algebraic geometry, or Riemannian geometry to mechanics, robotics, or gauge theory in physics. Consequently, authors publishing papers in these areas may be better served by a platform that tracks recent development and applications of Lie groups and their representations.

This Special Issue aims to collect reviews and original research papers on various topics concerning the recent progress in the theory of Lie groups, Lie algebras, and their representation. This includes research on other disciplines that involves information of and relationship with Lie groups.

Dr. Guy Biyogmam
Guest Editor

Manuscript Submission Information

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Keywords

  • algebraic structures
  • algebraic groups
  • lie groups
  • lie algebras
  • representation theory
  • root systems
  • coxeter groups
  • characteristic classes
  • flag varieties
  • quantum groups
  • holonomy
  • variational methods

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Published Papers

This special issue is now open for submission.
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