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math.QA2004★ 12 cited
A note on quantization operators on Nichols algebra model for Schubert calculus on Weyl groups
Anatol. N. Kirillov, Toshiaki Maeno
We give a description of the (small) quantum cohomology ring of the flag variety as a certain commutative subalgebra in the tensor product of the Nichols algebras. Our main result…
math.QA2004
Exterior differential algebras and flat connections on Weyl groups
Anatol N. Kirillov, Toshiaki Maeno
We study some aspects of noncommutative differential geometry on a finite Weyl group in the sense of S. Woronowicz, K. Bresser {\it et al.}, and S. Majid. For any finite Weyl group…