Schur P-functions and representations of affine Lie algebras
被引:0
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作者:
Leclerc, B
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Leclerc, B
Leidwanger, S
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Leidwanger, S
机构:
来源:
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
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1997年
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324卷
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02期
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暂无
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We define by means of the affine Lie algebras a(infinity) and b(infinity) a linear operator on the algebra Sym of symmetric functions sending Schur S-functions to Schur P-functions. This operator is then expressed as a differential operator of infinite order, using an involution of Sym related to <(sl)over cap>(2).
机构:
Carleton Univ, Sch Math & Stat, 1125 Colonel By Dr, Ottawa, ON K1S 5B6, CanadaCarleton Univ, Sch Math & Stat, 1125 Colonel By Dr, Ottawa, ON K1S 5B6, Canada
Billig, Yuly
Futorny, Vyacheslav
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机构:
Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP, BrazilCarleton Univ, Sch Math & Stat, 1125 Colonel By Dr, Ottawa, ON K1S 5B6, Canada