Initiated in Oxford in 1968, Study Groups with Industry provide a forum for industrial scientists to work alongside academic mathematicians on problems of direct industrial relevance. They are an internationally recognized method of technology and knowledge transfer between academic mathematicians and industry, usually lasting one week.
The representation theory of complex semisimple Lie algebras, developed by É. Cartan and H. Weyl, is a well-known and classical theory with numerous books describing it. This theory had a colossal impact on various branches of mathematics such as differential geometry or number theory and has many applications in other sciences such as physics and chemistry.
However, the representation theory of real semisimple Lie algebras presents a series of additional technical difficulties and does not have many references which address it. This is precisely the topic dealt with in A. Onishchik's book: Lectures on Real Semisimple Lie Algebras and Their Representations, which we have been studying since fall 2021.
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