D ec 2 00 5 MIXED EXPANSION FORMULA FOR THE RECTANGULAR SCHUR FUNCTIONS AND THE AFFINE LIE ALGEBRA
نویسندگان
چکیده
Formulas are obtained that express the Schur S-functions indexed by Young diagrams of rectangular shape as linear combinations of “mixed” products of Schur’s Sand Q-functions. The proof is achieved by using representations of the affine Lie algebra of type A (1) 1 . A realization of the basic representation that is of “D (2) 2 ”-type plays the central role.
منابع مشابه
0 A pr 2 00 7 MIXED EXPANSION FORMULA FOR THE RECTANGULAR SCHUR FUNCTIONS AND THE AFFINE LIE ALGEBRA
Formulas are obtained that express the Schur S-functions indexed by Young diagrams of rectangular shape as linear combinations of “mixed” products of Schur’s Sand Q-functions. The proof is achieved by using representations of the affine Lie algebra of type A (1) 1 . A realization of the basic representation that is of “D (2) 2 ”-type plays the central role.
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Formulas are obtained that express the Schur S-functions indexed by Young diagrams of rectangular shape as linear combinations of “mixed” products of Schur’s Sand Q-functions. The proof is achieved by using representations of the affine Lie algebra of type A (1) 1 . A realization of the basic representation that is of “D (2) 2 ”-type plays the central role.
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