Free resolutions of orbit closures for the representations associated to gradings on Lie algebras of type E6, F4 and G2

@inproceedings{Galetto2012FreeRO,
  title={Free resolutions of orbit closures for the representations associated to gradings on Lie algebras of type E6, F4 and G2},
  author={Federico Galetto},
  year={2012}
}
  • Federico Galetto
  • Published 2012
  • Mathematics
  • The irreducible representations of complex semisimple algebraic groups with finitely many orbits are parametrized by graded simple Lie algebras. For the exceptional Lie algebras, Kraśkiewicz and Weyman exhibit the Hilbert polynomials and the expected minimal free resolutions of the normalization of the orbit closures. We present an interactive method to construct explicitly these and related resolutions in Macaulay2. The method is then used in the cases of the Lie algebras of type E6, F4, and… CONTINUE READING
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    References

    SHOWING 1-10 OF 17 REFERENCES
    Geometry of orbit closures for the representations associated to gradings of Lie algebras of types $E_6$, $F_4$ and $G_2$
    • 15
    • Highly Influential
    • PDF
    THE WEYL GROUP OF A GRADED LIE ALGEBRA
    • 196
    Resolutions of orthogonal and symplectic analogues of determinantal ideals
    • 4
    • PDF
    The Projective Geometry of Freudenthal's Magic Square
    • 110
    • PDF
    Geometry of the Lagrangian Grassmannian LG(3,6) with applications to Brill-Noether Loci
    • 25
    • PDF
    Cohomology of Vector Bundles and Syzygies
    • 314
    • PDF
    On Spinor Varieties and Their Secants
    • 25
    • PDF
    Discriminants, Resultants, and Multidimensional Determinants
    • 1,809
    • PDF