Linearly Independent Products of Rectangularly Complementary Schur Functions
نویسنده
چکیده
Fix a rectangular Young diagram R, and consider all the products of Schur functions sλsλc , where λ and λ c run over all (unordered) pairs of partitions which are complementary with respect to R. Theorem: The self-complementary products, s2λ where λ = λ , are linearly independent of all other sλsλc . Conjecture: The products sλsλc are all linearly independent.
منابع مشابه
A Theorem and a Conjecture on Rectangles and Schur Functions
Fix a rectangular Young diagram R, and consider all the products of Schur functions sλsλc , where λ and λ c run over all (unordered) pairs of partitions which are complementary with respect to R. Theorem: The self-complementary products, s λ where λ = λ, are linearly independent of all other sλsλc . Conjecture: The products sλsλc are all linearly independent.
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عنوان ژورنال:
- Electr. J. Comb.
دوره 9 شماره
صفحات -
تاریخ انتشار 2002