does any one offer me a simple book to learn lie algebra in physics easily?especialy g2 algebra and its applications?
This is a good question with lots of possible answers.
A good introduction to Lie algebras in physics is
M. Boer, Lie Algebras and the Transitionto Affine Lie Algebras in 2 Dimensional Maximal Supergravity, B.Sc. thesis, University of Groningen, 2013:
http://thep.housing.rug.nl/sites/default/files/theses/PhD%20thesis_Mark%20Boer.pdf
SeePart II on Lie Algebras in Physics, starting on page 26.
Just to give another example:
http://mural.uv.es/rusanra/Lie%20Algebras%20in%20Particle%20Physics%202%C2%AA%20ed%20-%20From%20Isospin%20to%20Unified%20Theories%20(Georgi,%201999).pdf
(Lie algebras in particle physics by H. Georgi)
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