The Lie Conformal Algebra of a Block Type Lie Algebra

DOI10.1142/S1005386715000322zbMath1394.17054arXiv1210.6160OpenAlexW2139944984WikidataQ115244729 ScholiaQ115244729MaRDI QIDQ2949730

Ming Gao, Xiao Qing Yue, Ying Xu

Publication date: 2 October 2015

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6160

zbMATH Keywords

Lie conformal algebrasBlock type Lie algebrasfree intermediate series modulesmodules over Lie conformal algebras

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (8)

Central extensions and conformal derivations of a class of Lie conformal algebras ⋮ Loop Heisenberg-Virasoro Lie conformal algebra ⋮ A class of graded conformal algebras which is induced by Heisenberg-Virasoro conformal algebra ⋮ Unnamed Item ⋮ Another class of simple graded Lie conformal algebras that cannot be embedded into general Lie conformal algebras ⋮ Loop Virasoro Lie conformal algebra ⋮ Loop Schrödinger–Virasoro Lie conformal algebra ⋮ Loop W(a,b) Lie conformal algebra

Cites Work

• Quasifinite modules of a Lie algebra related to Block type
• Cohomology of conformal algebras
• Classification of finite simple Lie conformal superalgebras.
• Quasifinite representations of a Lie algebra of Block type
• Generalizations of the Block algebras
• STRUCTURE OF THE LIE ALGEBRAS RELATED TO THOSE OF BLOCK
• Infinite-dimensional Lie algebras of generalized Block type
• Representations of the virasoro-like algebra and itsq-Analog
• Theory of finite pseudoalgebras

This page was built for publication: The Lie Conformal Algebra of a Block Type Lie Algebra