Infinite rank Schrödinger-Virasoro type Lie conformal algebras

Fan, Guangzhe; Su, Yucai; Xia, Chunguang

doi:10.1063/1.4960820

Cited by 8 publications

(2 citation statements)

References 20 publications

(44 reference statements)

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“…Due to these reasons, the general Lie conformal algebra gc N and its subalgebras have been studied by many authors (e.g., [3,4,6,9,10,21,25,29]). Recently, some interesting examples of infinite Lie conformal algebras associated with infinite-dimensional loop Lie algebras were constructed and studied (e.g., [12,13,26]).…”

Section: Introductionmentioning

confidence: 99%

Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type

Xia

Yuan

2018

Journal of Algebra

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We classify finite irreducible conformal modules over a class of infinite Lie conformal algebras B(p) of Block type, where p is a nonzero complex number. In particular, we obtain that a finite irreducible conformal module over B(p) may be a nontrivial extension of a finite conformal module over Vir if p = −1,where Vir is a Virasoro conformal subalgebra of B(p). As a byproduct, we also obtain the classification of finite irreducible conformal modules over a series of finite Lie conformal algebras b(n) for n ≥ 1.

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Section: Introductionmentioning

confidence: 99%

Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type

Xia

Yuan

2018

Journal of Algebra

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“…For example, the finite irreducible conformal modules over gc N were classified by Kac, Radul and Wakimoto, see also [2,9]; the finite growth modules over subalgebras of gc N containing Virasoro conformal subalgebras were classified in [2]; certain low dimensional cohomologies of gc N were computed in [10]. Recent years, some infinite rank loop * -Virasoro type Lie conformal algebras were constructed and studied, such as the loop Virasoro type [15], Heisenberg-Virasoro type [7] and Schrödinger-Virasoro type [8].…”

Section: Introductionmentioning

confidence: 99%