Resilience is defined as the ability and capacity to recover quickly from difficulties or adapt successfully in face of adversity social transformation (Barrios 2016; Hall Lamont 2013; ...

We present explicit examples finite tensor categories that are C2-graded extensions of the corepresentation category of certain finite-dimensional non-semisimple Hopf algebras. Mathematics Subject Classification (2010): 18D10, 16W30, 19D23.

The quantum general linear supergroup GL q (m|n) is defined and its structure is studied systematically. Quantum homogeneous supervector bundles are introduced following Connes' theory, and applied to develop the representation theory of GL q (m|n). Quantum Frobenius reciprocity is proven, and a Borel-Weil theorem is established for the covariant and contravariant tensor irreps.