Séminaire Lotharingien de Combinatoire, 95B.42 (2026), 12 pp.
Tao Gui, Yuqi Jia, Xinkai Yu, Zhexi Zhang and Yuchen Zhu
Structure Constants of Peterson Schubert Calculus
Abstract.
We give an explicit, positive, and type-uniform formula for all equivariant structure constants of the Peterson Schubert calculus in arbitrary Lie types, using only the Cartan matrix of the corresponding root system Φ. As an application, we derive a type-uniform formula for the mixed $\Phi$-Eulerian numbers.
Received: November 15, 2025.
Accepted: February 15, 2026.
Final version: April 1, 2026.
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