Séminaire Lotharingien de Combinatoire, 85B.67 (2021), 12 pp.

Eric Marberg and Brendan Pawlowski

Principal Specializations of Schubert Polynomials in Classical Types

Abstract. There is a remarkable formula for the principal specialization of a type A Schubert polynomial as a weighted sum over reduced words. Taking appropriate limits transforms this to an identity for the backstable Schubert polynomials recently introduced by Lam, Lee, and Shimozono. We prove some analogues of the latter formula for principal specializations of Schubert polynomials in classical types B, C, and D. We also derive some more general identities for Grothendieck polynomials.

Received: December 1, 2020. Accepted: March 1, 2021. Final version: April 29, 2021.

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