Corpus ID: 195584482

The generating rank of a polar Grassmannian

@article{Cardinali2019TheGR,
  title={The generating rank of a polar Grassmannian},
  author={I. Cardinali and L. Giuzzi and A. Pasini},
  journal={arXiv: Representation Theory},
  year={2019}
}
  • I. Cardinali, L. Giuzzi, A. Pasini
  • Published 2019
  • Mathematics
  • arXiv: Representation Theory
  • In this paper we compute the generating rank of $k$-polar Grassmannians defined over commutative division rings. Among the new results, we compute the generating rank of $k$-Grassmannians arising from Hermitian forms of Witt index $n$ defined over vector spaces of dimension $N > 2n$. We also study generating sets for the $2$-Grassmannians arising from quadratic forms of Witt index $n$ defined over $V(N,{\mathbb F}_q)$ for $q=4,8,9$ and $2n \leq N \leq 2n+2$. We prove that for $N >6$ they can be… CONTINUE READING
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