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Cohomology ring of grassmannian and Pieri rule

I am sorry if this question is not for mathoverflow. I asked the same question on stackexchange (https://math.stackexchange.com/questions/4203667/cohomology-ring-of-grassmannian-and-pieri-rule), but I …
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Cohomology ring of grassmannian and Pieri rule

The equation $\tau_2^{2}-2\tau_{3}\tau_{1}-\tau_{4}$ (obtained by Pieri rule) is incorrect. It should be $$\tau_2^{2}-2\tau_{3,1}-\tau_{4},$$ so there is no problem for such computations.
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