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4 results for “EIII”

Plücker Coordinates and the Rosenfeld Planesmath.AG

Introduces Plücker coordinates for a complex projective octonion plane, solving an overdetermined system of relations.

problem Understanding the complex projective octonion plane and its quotient space EIII.

method Introduces Plücker coordinates and uses Clifford algebra to solve the overdetermined system of relations.

result Shows that EIII can be decomposed into F4-orbits and provides detailed analysis near the subvariety X∞.

Plücker coordinates octonion plane EIII E6 Spin(10)

2024-01-15abs ↗pdf ↗

On the 32-dimensional Rosenfeld projective planemath.AT

Study of a 32D Rosenfeld projective plane, a symmetric space.

problem Understanding the properties of a specific symmetric space.

method Detailed study and analysis of the geometric structure.

result Comprehensive understanding of the 32D Rosenfeld projective plane.

Rosenfeld projective plane symmetric space EIII Cartan's list compact symmetric spaces

2023-11-05abs ↗pdf ↗

The even Clifford structure of the fourth Severi varietymath.DG

The Hermitian symmetric space $M=\mathrm{EIII}$ appears in the classification of complete simply connected Riemannian manifolds carrying a parallel even Clifford structure. This means the existence of a real oriented Euclidean vector bundle $E$ over it together with an algebra bundle morphism $\varphi:\mathrm{Cl}^0(E) …

2015-06-15abs ↗pdf ↗

The classical topological invariants of homogeneous spacesmath.AT

Study K-theory of homogeneous spaces of Lie groups.

problem Classifying and understanding the topological invariants of homogeneous spaces.

method Apply K-theory to homogeneous spaces of simply connected, compact Lie groups.

result Detailed analysis of four symmetric spaces, revealing their topological properties.

K-theory homogeneous spaces Lie groups symmetric spaces topological invariants

2023-10-22abs ↗pdf ↗