A Comparison of Eigencones Under Certain Diagram Automorphisms Public Deposited

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Last Modified
  • March 20, 2019
Creator
  • Lee, Brandyn
    • Affiliation: College of Arts and Sciences, Department of Mathematics
Abstract
  • 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.
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  • In Copyright
Advisor
  • Wahl, Jonathan
  • Eberlein, Patrick
  • Kumar, Shrawan
  • Rimanyi, Richard
  • Belkale, Prakash
Degree
  • Doctor of Philosophy
Graduation year
  • 2012
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