Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Horn recursion for Schur P- and Q- functions: Extended Abstract   A consequence of work of Klyachko and of Knutson-Tao is the Horn recursion to
determine when a Littlewood-Richardson coefficient is non-zero. Briefly, a
Littlewood-Richardson coefficient is non-zero if and only if it satisfies a
collection of Horn inequalities which are indexed by smaller non-zero
Littlewood-Richardson coefficients. There are similar Littlewood-Richardson
numbers for Schur P- and Q- functions. Using a mixture of combinatorics of root
systems, combinatorial linear algebra in Lie algebras, and the geometry of
certain cominuscule flag varieties, we give Horn recursions to determine when
these other Littlewood-Richardson numbers are non-zero. Our inequalities come
from the usual Littlewood-Richardson numbers, and while we give two very
different Horn recursions, they have the same sets of solutions. Another
combinatorial by-product of this work is a new Horn-type recursion for the
usual Littlewood-Richardson coefficients.

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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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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: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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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: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: funct-an