Abstract
We prove that the only rational homogeneous varieties with Picard number 1 of the exceptional algebraic groups admitting irreducible equivariant Ulrich vector bundles are the Cayley plane E6/P1 and the E7-adjoint variety E7/P1. From this result,we see that a general hyperplane section F4/P4 of the Cayley plane also has an equivariant but non-irreducible Ulrich bundle.
Funding statement: The authors were supported by IBS-R003-Y1.
Acknowledgements
The authors would like to thank Rosa Maria Miró-Roig and Laurent Manivel for useful discussions and comments. Also, they are grateful to the referee for several helpful suggestions to improve the first draft.
Communicated by: I. Coskun
References
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