Gholamreza Aghamollaei, Shahid Bahonar University of Kerman, Iran
"The numerical range of quaternion matrices with respect to involutions"
In this talk, we study some algebraic and geometrical properties of the quaternionic numerical ranges with respect to involutions. We give a description of these sets for 2 by 2 matrices and also for $\phi$-hermitian and $\phi$-skew hermitian quaternion matrices. Finally, we state some examples and open problems about the numerical range of quaternion matrices with respect to non-standard involutions.