TY - JOUR ID - TI - Adjoint representations for SU(2), su(2) and sl(2) AU - Saad Owaid AU - Zainab Subhi PY - 2016 VL - 27 IS - 5 SP - 74 EP - 82 JO - Al-Mustansiriyah Journal of Science مجلة علوم المستنصرية SN - 1814635X 25213520 AB - 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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