Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor invariants, Saturation problems, and Dynkin automorphisms   Let G be a connected almost simple algebraic group with a Dynkin automorphism
{\sigma}. Let G_{\sigma} be the connected almost simple algebraic group
associated to G and {\sigma}. We prove that the dimension of the tensor
invariant space of G_{\sigma} is equal to the trace of {\sigma} on the
corresponding tensor invariant space of G. We prove that if G has the
saturation property then so does G{\sigma}. As a consequence, we show that the
spin group Spin(2n + 1) is of saturation property with factor 2, which
strengthens the results of Belkale-Kumar and Sam in the case of type B_n.

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The categories of this paper are: eess
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int