Séminaire Lotharingien de Combinatoire, 95B.73 (2026), 12 pp.
Eric Marberg
Classical Double Grothendieck Transitions
Abstract.
Kirillov and Naruse have constructed double Grothendieck polynomials to represent the
equivariant K-theory classes of Schubert varieties in the complete flag manifolds of types B, C, and D.
We derive a recursive formula for these polynomials,
extending certain transition equations known in type A.
As an application, we obtain an identity that expands the K-Stanley symmetric functions in types B, C, and D
into positive linear combinations of K-theoretic
Schur P- and Q-functions.
We use this expansion to resolve some conjectures related
to K-theoretic Schur P- and Q-functions.
Received: November 15, 2025.
Accepted: February 15, 2026.
Final version: April 1, 2026.
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