The Yoneda algebra of a K₂ algebra need not be another K₂ algebra
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algebrayonedakoszulalgebrasanothercaseconstructingcorresponding
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The Yoneda algebra of a Koszul algebra or a D-Koszul algebra is Koszul. K_2 algebras are a natural generalization of Koszul algebras, and one would hope that the Yoneda algebra of a K_2 algebra would be another K_2 algebra. We show that this is not necessarily the case by constructing a monomial K_2 algebra for which the corresponding Yoneda algebra is not K_2.
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