Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isometry groups of generalized Stiefel manifolds   A generalized Stiefel manifold is the manifold of orthonormal frames in a
vector space with a non-degenerated bilinear or hermitian form. In this
article, the Isometry group of the generalized Stiefel manifolds are computed
at least up to connected components in an explicit form. This is done by
considering a natural non-associative algebra $\mathfrak{m}$ associated to the
affine structure of the Stiefel manifold, computing explicitly the automorphism
group $Aut(\mathfrak{m})$ and inducing this computation to the Isometry group.

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The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas