Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of apartments in polar Grassmannians   Buildings of types $\textsf{C}_n$ and $\textsf{D}_n$ are defined by rank $n$
polar spaces. The associated building Grassmannians are polar and half-spin
Grassmannians. Apartments in dual polar spaces and half-spin Grassmannians were
characterized in \cite{CKS}. We characterize apartments in all polar
Grassmannians consisting of non-maximal singular subspaces. This
characterization is a partial case of more general results concerning
embeddings of polar Johnson graphs in polar Grassmann graphs.

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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex