3 citations · 3 across the 3 of their papers we have counts for
9 papers
Square root crystals and the square root of
Eric Marberg, Travis Scrimshaw
We introduce a general monoidal category of -root crystals and then study the special case of square root -crystals. The latter objects include Yu's cr…
Brion atoms for classical types
Eric Marberg
Let be a classical group defined over the complex numbers with a Borel subgroup . Choose a holomorphic involution of and let be its set of fixed points. The group $K…
Key and Lascoux polynomials for symmetric orbit closures
Eric Marberg, Travis Scrimshaw
We introduce shifted analogues of key polynomials related to symplectic and orthogonal orbit closures in the complete flag variety. Our definitions are given by applying isobaric d…
Positive specializations of K-theoretic Schur P- and Q-functions
Eric Marberg
Yeliussizov has classified the positive specializations of symmetric Grothendieck functions, defined in several different ways, providing a K-theoretic lift of the classical Edrei-…
Classical double Grothendieck transitions
Eric Marberg
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,…
Atoms for signed permutations
Zachary Hamaker, Eric Marberg
There is a natural analogue of weak Bruhat order on the involutions in any Coxeter group. The saturated chains of intervals in this order correspond to reduced words for a certain…