In mathematics, a quadratic algebra is a filtered algebra generated by degree one elements, with defining relations of degree 2. It was pointed out by Yuri Manin that such algebras play an important role in the theory of quantum groups. The most important class of graded quadratic algebras is Koszul algebras.
It was pointed out by Yuri Manin that quantum algebras play an important role in the theory of quadratic groups.
It's definitely incorrect because he pointed out that quadratic algebras play an important role in the theory of quantum groups, which is not what I wrote. It's difficult because the words look similar and switching them around was enough to confuse the system presumably due to their similarity.
( z1 point-out :ARG0 ( z2 person :name ( z3 name :op "Yuri" :op "Manin" ) ) :ARG1 ( z4 play :ARG0 ( z5 algebrum :mod ( z6 quantum ) ) :ARG1 ( z7 role :ARG1-of ( z8 important ) :topic ( z9 theory :topic ( z10 group :mod ( z11 quadratic ) ) ) ) ) )