Grassmann embeddings of polar Grassmannians

@article{Cardinali2020GrassmannEO,
  title={Grassmann embeddings of polar Grassmannians},
  author={Ilaria Cardinali and Luca Giuzzi and Antonio Pasini},
  journal={J. Comb. Theory, Ser. A},
  year={2020},
  volume={170}
}
  • Ilaria Cardinali, Luca Giuzzi, Antonio Pasini
  • Published 2020
  • Mathematics, Computer Science
  • J. Comb. Theory, Ser. A
  • In this paper we compute the dimension of the Grassmann embeddings of the polar Grassmannians associated to a possibly degenerate Hermitian, alternating or quadratic form with possibly non-maximal Witt index. Moreover, in the characteristic $2$ case, when the form is quadratic and non-degenerate with bilinearization of minimal Witt index, we define a generalization of the so-called Weyl embedding (see [I. Cardinali and A. Pasini, Grassmann and Weyl embeddings of orthogonal Grassmannians. J… CONTINUE READING

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