Christian Ikenmeyer

collaborators

4 papers

cs.CC2026

Kronecker products and iterated matrix multiplication

Christian Ikenmeyer

We observe that the Kronecker product of tensors is the operation that converts the determinant polynomial into Cayley's first hyperdeterminant. We apply the Kronecker product to i…

math.RT2026

Field-independent Kronecker-plethysm isomorphisms

Christian Ikenmeyer, Heidi Omar, Dimitrios Tsintsilidas

We construct an explicit field-independent SL $_{2}$ -equivariant isomorphism between an invariant space of tensors and a plethysm space. The existence of such an isomorphism was only…

cs.CC2025

On the gradient of the coefficient of the characteristic polynomial

Christian Ikenmeyer

We prove the bivariate Cayley-Hamilton theorem, a powerful generalization of the classical Cayley-Hamilton theorem. The bivariate Cayley-Hamilton theorem has three direct corollari…

math.MG2025

Fractional Divisibility of Spheres with Partially Generic Sets of Rotations

Jan GrebÃk, Christian Ikenmeyer, Oleg Pikhurko

We say that an r-tuple $(g_{1}, ..., g_{r})$ of special orthogonal $d \times d$ matrices fractionally divides the $(d - 1)$ -dimensional sphere $S$ if there is a non-constant function in $L^…