Visu Makam

activity

20152024

most citedAlgorithms for orbit closure separation for invariants and semi-invariants of matrices

15 citations · 63 across the 17 of their papers we have counts for

collaborators

Showing 2018Show all

5 papers · 1 filter

math.RA2018

The regularity lemma is false over small fields

Harm Derksen, Visu Makam

The regularity lemma is a stringent condition of the possible ranks of tensor blow-ups of linear subspaces of matrices. It was proved by Ivanyos, Qiao and Subrahmanyam when the und…

math.OC2018

Highly entangled tensors

Harm Derksen, Visu Makam

A geometric measure for the entanglement of a unit length tensor $T \in (C^{n})^{\otimes k}$ is given by $- 2 lo g_{2} ∣∣ T ∣ ∣_{σ}$ , where $∣∣.∣ ∣_{σ}$ denotes the spectral norm. A s…

math.RT2018

Weyl's polarization theorem in positive characteristic

Harm Derksen, Visu Makam

Let $V$ be an $n$ -dimensional algebraic representation over an algebraically closed field $K$ of a group $G$ . For $m > 0$ , we study the invariant rings $K [V^{m}]^{G}$ for the diagon…

math.RA2018★ 15 cited

Algorithms for orbit closure separation for invariants and semi-invariants of matrices

Harm Derksen, Visu Makam

We consider two group actions on $m$ -tuples of $n \times n$ matrices. The first is simultaneous conjugation by $GL_{n}$ and the second is the left-right action of $\op…

math.CO2018

On the tensor rank of $3 \times 3$ permanent and determinant

Siddharth Krishna, Visu Makam

The tensor rank and border rank of the $3 \times 3$ determinant tensor is known to be $5$ if characteristic is not two. In this paper, we show that the tensor rank remains $5$ for…

The regularity lemma is false over small fields

Highly entangled tensors

Weyl's polarization theorem in positive characteristic

Algorithms for orbit closure separation for invariants and semi-invariants of matrices

On the tensor rank of 3×3 permanent and determinant

On the tensor rank of $3 \times 3$ permanent and determinant