Arijit Mukherjee

collaborators

3 papers

math.OC2025

Gram-like matrix preserving extensions and completions of noncommutative polynomials

Arijit Mukherjee, Arindam Sutradhar

Given a positive noncommutative polynomial $f$ , equivalently a sum of Hermitian squares (SOHS), there exists a positive semidefinite Gram matrix that encrypts all the structural es…

math.AG2024

A representation theoretic classification of multiprojective spaces

Arijit Mukherjee

For a partition $(n_{1}, \dots, n_{r})$ of a positive integer $n$ , consider the associated multiprojective space $P^{n_{1}} \times \dots \times P^{n_{r}}$ . That multiprojecti…

math.RA2024

Dynamics of two by two symmetric matrices of trace zero

Arijit Mukherjee

In this paper, we describe the entire structure of the vector space $S y m_{2}^{0}$ of all symmetric matrices of size $2$ having trace zero. This is motivated by the geometrical interpre…