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The KLT Kernel in Twistor Space. [PDF]

Commun Math Phys
Adamo T, Klisch S.
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Lie conformal algebras related to Galilean conformal algebras

Journal of Algebra and Its Applications, 2020
Let [Formula: see text] be a Lie conformal algebra related to Galilean conformal algebras, where [Formula: see text] are complex numbers. All the conformal derivations of [Formula: see text] are shown to be inner. The rank one conformal modules and [Formula: see text]-graded free intermediate series modules over [Formula: see text] are completely ...
Xiu Han, Xiu Han, Dengyin Wang, Chunguang Xia   +3 more
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Extending Structures for Lie Conformal Algebras

Algebras and Representation Theory, 2016
The \(\mathbb {C}[\partial ]\)-split extending structures problem for Lie conformal algebras is studied. In this paper, we introduce the definition of unified product of a given Lie conformal algebra R and a given \(\mathbb {C}[\partial ]\)-module Q. This product includes some other interesting products of Lie conformal algebras such as twisted product,
Yucai Su, Yanyong Hong
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Schrödinger-Virasoro Lie conformal algebra

Journal of Mathematical Physics, 2013
We first construct two new nonsimple conformal algebras associated with the Schrödinger-Virasoro Lie algebra and the extended Schrödinger-Virasoro Lie algebra, respectively. Then we study conformal derivations and free nontrivial rank one conformal modules of these two conformal algebras.
Lamei Yuan, Yucai Su
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Representations of Lie conformal algebras related to Galilean conformal algebras [PDF]

Communications in Algebra, 2021
Chunguang Xia, Dengyin Wang, Xiu Han, Xiu Han   +3 more
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Realizations of conformal current-type Lie algebras

Journal of Mathematical Physics, 2010
In this paper we obtain the realizations of some infinite-dimensional Lie algebras, named “conformal current-type Lie algebras,” in terms of a two-dimensional Novikov algebra and its deformations. Furthermore, Ovsienko and Roger’s loop cotangent Virasoro algebra, which can be regarded as a nice generalization of the Virasoro algebra with two space ...
Yufeng Pei, Chengming Bai
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Lie Conformal Algebras of Planar Galilean Type

Reports on Mathematical Physics, 2018
Motivated by the Lie structure of the planar Galilean conformal algebra, we construct a class of infinite rank Lie conformal algebras C P G ( a , b ) , where a, b are complex numbers. All their conformal derivations are shown to be inner.
Chunguang Xia, Xiu Han, Dengyin Wang
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