Adjoint representations for SU(2), su(2) and sl(2)

Authors

  • Saad Owaid Department of Mathematics, Faculty of Science, Al-Mustansiriyah University, Baghdad
  • Zainab Subhi Department of Mathematics, Faculty of Science, Al-Mustansiriyah University, Baghdad

DOI:

https://doi.org/10.23851/mjs.v27i5.171

Keywords:

unitary matrix, SU(2), Lie group, representation theory

Abstract

This work, presents four kinds of adjoint representations for the special unitary matrix Lie group SU(2) and the special unitary, special linear matrix Lie algebras su(2) and sl(2). In the first two we assume the vector spaces as the matrix Lie algebras su(2) and sl(2), later cases obtained by exploiting the action of su(2) and sl(2)  on themselves. Also, we compute their direct sums. The results have been displayed as Tables in a nice form.

References

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Published

2017-07-06

How to Cite

[1]
S. Owaid and Z. Subhi, “Adjoint representations for SU(2), su(2) and sl(2)”, MJS, vol. 27, no. 5, pp. 74–82, Jul. 2017.

Issue

Section

Mathematics