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20102025
most citedInfinite rank Schrodinger-Virasoro type Lie conformal algebras

11 citations · 14 across the 10 of their papers we have counts for

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6 papers · 1 filter

math.RA2019

Structure of a class of Lie conformal algebras of Block type

Wei Wang, Chunguang Xia, Li Liu

Let be a nonzero complex number. Recently, a class of infinite rank Lie conformal algebras was introduced in [13]. In this paper, we study the structure theor…

math.RA2017★ 1 cited

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

Yucai Su, Chunguang Xia, Lamei Yuan

We classify finite irreducible conformal modules over a class of infinite Lie conformal algebras of Block type, where is a nonzero complex number. In particula…

math.RA2016★ 11 cited

Infinite rank Schrodinger-Virasoro type Lie conformal algebras

Guangzhe Fan, Yucai Su, Chunguang Xia

Motivated by the structure of certain modules over the loop Virasoro Lie conformal algebra and the Lie structures of Schrodinger-Virasoro algebras, we construct a class of infinite…

math.RA2014

Simple Deformed Witt Algebras

Guang'ai Song, Chunguang Xia

For any factorization domain and an algebra endomorphism of , there exists a non-associative algebra with multiplication satisfyin…

math.RA2011

Structure of a class of Lie algebras of Block type

Chunguang Xia, Taijie You, Liji Zhou

Let $\BB$ be a class of Lie algebras of Block type with basis $\{L_{\a,i}|\a,i\in\Z, i\geq 0\}$ and relations $[L_{\a,i},L_{\b,j}]=(\b(i+q)-\a(j+q))L_{\a+\b,i+j}$, where is a p…

math.RA2010

Derivations and automorphisms of a Lie algebra of Block type

Chunguang Xia, Wei Wang

Let $\BB$ be the Lie algebra of Block type with basis $\{L_{\a,i}|\,\a,i\in\Z, i\geq0\}$ and relations $[L_{\a,i},L_{\b,j}]=\left((\a-1)(j+1)-(\b-1)(i+1)\right)L_{\a+\b,i+j}$. In t…