Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convex Bases of PBW type for Quantum Affine Algebras   This note has two purposes. First we establish that the map defined in [L,
$\S 40.2.5$ (a)] is an isomorphism for certain admissible sequences. Second we
show the map gives rise to a convex basis of Poincar\'e--Birkhoff--Witt (PBW)
type for $\bup$, an affine untwisted quantized enveloping algebra of
Drinfel$'$d and Jimbo. The computations in this paper are made possible by
extending the usual braid group action by certain outer automorphisms of the
algebra.

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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph