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COMBINATORICS
2002

Linearly Independent Products of Rectangularly Complementary Schur Functions

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Linearly Independent Products of Rectangularly Complementary Schur Functions
Fix a rectangular Young diagram R, and consider all the products of Schur functions ssc , where and c run over all (unordered) pairs of partitions which are complementary with respect to R. Theorem: The self-complementary products, s2 where = c, are linearly independent of all other ssc . Conjecture: The products ssc are all linearly independent.
Michael Kleber
Added 17 Dec 2010
Updated 17 Dec 2010
Type Journal
Year 2002
Where COMBINATORICS
Authors Michael Kleber
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