Structure of the Enveloping Algebras

Authors

  • Č. Burdík
  • O. Navrátil
  • S. Pošta

DOI:

https://doi.org/10.14311/926

Keywords:

adjoint representation, enveloping algebra, Lie algebra

Abstract

The adjoint representations of several small dimensional Lie algebras  on their universal enveloping algebras  are explicitly decomposed. It is shown that commutants of raising operators are generated as polynomials in several basic elements. The explicit form of these elements is given and the general method for obtaining  these elements is described. 

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Author Biographies

  • Č. Burdík
  • O. Navrátil
  • S. Pošta

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Published

2007-01-02

Issue

Vol. 47 No. 2-3 (2007)

Section

Articles

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How to Cite

Burdík, Č., Navrátil, O., & Pošta, S. (2007). Structure of the Enveloping Algebras. Acta Polytechnica, 47(2-3). https://doi.org/10.14311/926