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On the generation of polar grassmannians. (English) Zbl 07844517

Ivanov, Alexander A. (ed.), Algebraic combinatorics and the monster group. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 487, 327-368 (2024).
Summary: In this chapter we discuss grassmannians of classical polar spaces of finite rank defined over commutative division rings. We offer an up-to-date overview on the state of the art regarding their generation and the properties of their projective embeddings.
For the entire collection see [Zbl 1530.20002].

MSC:

13-XX Commutative algebra
05Exx Algebraic combinatorics
14M15 Grassmannians, Schubert varieties, flag manifolds
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