What are the relations between the notation in Lusztig's book (<http: http://books.google.com/books?id=HKPjCUiOUQ0C&printsec=frontcover&dq=introduction+to+quantum+groups+lusztig&hl=en&ei=UrWtTeeNKIfZgQewic3sCw&sa=X&oi=book_result&ct=result&resnum=1&ved=0CCwQ6AEwAA#v=onepage&q&f=false> "introduction to quantum groups") and the usual notation about quantum groups. For example, $v$ in Lusztig's book corresponds to the usual $q$. Are $E, F, K$ in Lusztig's book the same as the usual ones? I think ${}^{'}U$ and $U$ are quantum groups. What are the algebras ${}^'f$ and $f$ used for? What are the relations between $f$ and $U$? Thank you.