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math.RT2026
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…
math.RT2026
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…
math.RT2025
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,…