Grassmann and Weyl embeddings of orthogonal Grassmannians

DOI10.1007/s10801-013-0429-xzbMath1297.14053arXiv1303.5609OpenAlexW2109804260MaRDI QIDQ2435035

Antonio Pasini, Ilaria Cardinali

Publication date: 3 February 2014

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5609

zbMATH Keywords

universal embeddingGrassmann embeddingorthogonal GrassmannianWeyl embedding

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Buildings and the geometry of diagrams (51E24) Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)

Related Items

Enumerative coding for line polar Grassmannians with applications to codes, The generating and embedding ranks of hyperplanes of Grassmannians, Veronesean embeddings of dual polar spaces of orthogonal type, On transparent embeddings of point-line geometries, Line polar Grassmann codes of orthogonal type, Codes and caps from orthogonal Grassmannians, The generating rank of a polar Grassmannian, Minimum distance of orthogonal line-Grassmann codes in even characteristic, Grassmann embeddings of polar Grassmannians, Embeddings of Line-Grassmannians of Polar Spaces in Grassmann Varieties, On the generation of some Lie-type geometries

Cites Work

• Unnamed Item
• Unnamed Item
• Veronesean embeddings of dual polar spaces of orthogonal type
• Projective subgrassmannians of polar Grassmannians
• Highest weight modules and polarized embeddings of shadow spaces
• Generalized polygons
• The generating rank of the symplectic Grassmannians: hyperbolic and isotropic geometry
• A geometric description of the spin-embedding of symplectic dual polar spaces of rank 3
• On the nucleus of the Grassmann embedding of the symplectic dual polar space DSp\((2n,\mathbb F)\), char(\(\mathbb F) = 2\)
• Generating symplectic and Hermitian dual polar spaces over arbitrary fields nonisomorphic to \(\mathbb F_{2}\)
• Buildings of spherical type and finite BN-pairs
• On the geometry of the adjoint representation of a Chevalley group
• Spanning point-line geometries in buildings of spherical type
• On the generation of dual polar spaces of symplectic type over finite fields
• Generating long root subgroup geometries of classical groups over finite prime fields
• Frames and bases of Lie incidence geometries
• On absolutely universal embeddings
• The generating rank of the symplectic line-Grassmannian
• The universal embedding dimension of the binary symplectic dual polar space
• Embeddings and expansions
• Generalized Veronesean embeddings of projective spaces
• On symplectic polar spaces over non-perfect fields of characteristic 2
• Introduction to Lie Algebras and Representation Theory
• Absolute embeddings of point-line geometries
• On the universal embedding of the \(Sp_{2n}(2)\) dual polar space