Binet-Cauchy Identity

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1990 ◽  
Vol 53 (2) ◽  
pp. 209-238 ◽  
Author(s):  
Sheila Sundaram
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2014 ◽  
Vol 90 (7) ◽  
pp. 87-91 ◽  
Author(s):  
Alain Lascoux ◽  
Hiroshi Naruse




Author(s):  
Daniel Bump
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2014 ◽  
Vol DMTCS Proceedings vol. AT,... (Proceedings) ◽  
Author(s):  
Sarah Mason ◽  
Elizabeth Niese

International audience We introduce a quasisymmetric generalization of Berele and Regev's hook Schur functions and prove that these new quasisymmetric hook Schur functions decompose the hook Schur functions in a natural way. In this paper we examine the combinatorics of the quasisymmetric hook Schur functions, providing analogues of the Robinson-Schensted-Knuth algorithm and a generalized Cauchy Identity.



10.37236/1088 ◽  
2006 ◽  
Vol 13 (1) ◽  
Author(s):  
Piotr Šniady

In this series of articles we study connections between combinatorics of multidimensional generalizations of the Cauchy identity and continuous objects such as multidimensional Brownian motions and Brownian bridges. In Part I of the series we present a bijective proof of the multidimensional generalizations of the Cauchy identity. Our bijection uses oriented planar trees equipped with some linear orders.



2017 ◽  
Vol 21 (6) ◽  
pp. 1381-1394
Author(s):  
Seung-Il Choi ◽  
Jae-Hoon Kwon
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Author(s):  
Daniel Bump
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1996 ◽  
Vol 157 (1-3) ◽  
pp. 363-374
Author(s):  
D Jackson
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