On Schrödinger-Virasoro type Lie conformal algebras

2015/08/13 by Hong, Yanyong
#FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1508.03210

Abstract

In this paper, two new classes of Schrödinger-Virasoro type Lie conformal algebras TSV(a,b) and TSV(c) which are non-simple are introduced for some a, b, c∈ ℂ. Moreover, central extensions, conformal derivations and free conformal modules of rank 1 of TSV(a,b) and TSV(c) are determined.

Related

• Extensions of finite irreducible modules of Lie conformal algebras W(a,b) and some Schrödinger-Virasoro type Lie conformal algebras
• Loop Schrödinger-Virasoro Lie conformal algebra
• Finite irreducible modules of Lie conformal algebras W(a,b) and some Schrödinger-Virasoro type Lie conformal algebras
• Two classes of Lie conformal superalgebras related to the Heisenberg--Virasoro Lie conformal algebra
• Cohomology of the extended Schrödinger-Virasoro conformal algebra