Owaid, S., Subhi, Z. (2016). Adjoint representations for SU(2), su(2) and sl(2). Alustath, 27(5), 74-82.
Saad Owaid; Zainab Subhi. "Adjoint representations for SU(2), su(2) and sl(2)". Alustath, 27, 5, 2016, 74-82.
Owaid, S., Subhi, Z. (2016). 'Adjoint representations for SU(2), su(2) and sl(2)', Alustath, 27(5), pp. 74-82.
Owaid, S., Subhi, Z. Adjoint representations for SU(2), su(2) and sl(2). Alustath, 2016; 27(5): 74-82.

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

Al-Mustansiriyah Journal of Science
Article 1, Volume 27, Issue 5, December 2016, Pages 74-82
Authors
Saad Owaid; Zainab Subhi
Abstract
This work, presents four kinds of adjoint representations〖 Ad〗_(1 ), 〖 Ad〗_2, 〖 ad〗_1 and 〖 ad〗_2for 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〖〖 Ad〗_1⊕Ad〗_2 and 〖〖 ad〗_1⊕ad〗_2.The results have been displayed as Tables in a nice form.
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