Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sums of squares of Krawtchouk polynomials, Catalan numbers, and some
  algebras over the Boolean lattice   Writing the values of Krawtchouk polynomials as matrices, we consider
weighted partial sums along columns. For the general case, we find an identity
that, in the symmetric case yields a formula for such partial sums. Complete
sums of squares along columns involve "Super Catalan" numbers. We look as well
for particular values (matrix entries) involving the Catalan numbers.
Properties considered and developed in this work are applied to calculations of
various dimensions that describe the structure of some *-algebras over the
Boolean lattice based on inclusion/superset relations expressed algebraically
using zeons [zero-square elements].

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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: cs