Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal line packings from finite group actions   We provide a general program for finding nice arrangements of points in real
or complex projective space from transitive actions of finite groups. In many
cases, these arrangements are optimal in the sense of maximizing the minimum
distance. We introduce our program in terms of general Schurian association
schemes before focusing on the special case of Gelfand pairs. Notably, our
program unifies a variety of existing packings with heretofore disparate
constructions. In addition, we leverage our program to construct the first
known infinite family of equiangular lines with Heisenberg symmetry.

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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin