Collections > Electronic Theses and Dissertations > A Comparison of Eigencones Under Certain Diagram Automorphisms

In this work, we consider the eigencones (and the related saturated tensor cones) for simple complex algebraic groups of types G2, D4, F4, and E6. We compare the cones for two embeddings G2 → D4 and F4 → E6 arising from symmetries of Dynkin diagrams. For our comparison, we utilize the deformed product in cohomology of Belkale and Kumar which is calculated with the aid of a computer following results by Haibao Duan.