The moduli stack of principal $\rho$-sheaves and Gieseker-Harder-Narasimhan filtrations

Tomás L. Gómez, Andres Fernandez Herrero, Alfonso Zamora

Let X be a smooth projective variety and let G be a connected reductive group, both defined over a field of characteristic 0. Given a faithful representation $\rho$ of G into a produc…