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W(a, b) Lie Conformal Algebra and Its Conformal Module of Rank One 被引量:3

W(a, b) Lie Conformal Algebra and Its Conformal Module of Rank One
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摘要 For any complex parameters a, b, let W(a, b) be the Lie algebra with basis {Li, Hi|i ∈ Z} and relations [Li,Lj] = (j - i)Li+j, [Li,Hj] = (a + j + bi)Hi+j and [Hi, Hi] = 0. In this paper, we construct the W(a, b) conformal algebra for some a, b and its conformal module of rank one. For any complex parameters a, b, let W(a, b) be the Lie algebra with basis {Li, Hi|i ∈ Z} and relations [Li,Lj] = (j - i)Li+j, [Li,Hj] = (a + j + bi)Hi+j and [Hi, Hi] = 0. In this paper, we construct the W(a, b) conformal algebra for some a, b and its conformal module of rank one.
出处 《Algebra Colloquium》 SCIE CSCD 2015年第3期405-412,共8页 代数集刊(英文版)
关键词 W(a b) algebra Virasoro algebra Lie conformal algebras formal distribution Lie algebras modules over Lie conformal algebras W(a, b) algebra, Virasoro algebra, Lie conformal algebras, formal distribution Lie algebras, modules over Lie conformal algebras
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