¶Ô³Æº¯ÊýºÍÂó¿ËÌÆÄɶàÏîʽ¡ªÓà´úÊý½á¹¹ÓëKawanakaºãµÈʽ(Ó¢ÎÄ)

1£®Symmetric functions of Littlewood-Richardson type
1£®1£®Symmetric Functions
1£®1£®1£®Partitions
1£®1£®2£®Monomial syrmnetric functions
1£®1£®3£®Plethystic notation
1£®1£®4£®Schur functions
1£®2£®The Umbral Calculus
1£®2£®1£®Coalgebras
1£®2£®2£®Sequences of Binomial Type
1£®3£®The Hall inner-product
1£®3£®1£®Preliminaries
1£®3£®2£®Column operators
1£®3£®3£®Duality
1£®4£®Littlewood-Richardson Bases
1£®4£®1£®Generalized complete symmetric functions
1£®4£®2£®Umbraloperators
1£®4£®3£®Column operators
1£®4£®4£®Generalized elementary symmetric functions
1£®5£®Examples

2£®A generating function identity for Macdonald polynomials
2£®1£®Macdonald Polynomials
2£®1£®1 £®Notation
2£®1£®2£®Operator definition
2£®1£®3£®Characterization using the inner product
2£®1£®4£®Arms and legs
2£®1£®5£®Duality
2£®1£®6£®Kawanaka conjecture
2£®2£®Resultants
2£®2£®1£®Residue calculations
2£®3£®Pieri formula and recurrence
2£®3£®1£®Arms and legs again
2£®3£®2£®Pieri formula
2£®3£®3£®Recurrence
2£®4£®The Proof
2£®4£®1£®The Schur case
2£®4£®2£®Step one
2£®4£®3£®Step two
2£®4£®4£®Step three

References
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