Deformed higher rank Heisenberg-Virasoro algebras
Chengkang Xu
TL;DR
This paper investigates infinitesimal deformations of higher rank Heisenberg-Virasoro algebras, explicitly determining their universal central extensions, derivations, and isomorphism classes to understand their structural variations.
Contribution
It provides a comprehensive classification of deformations and structural properties of higher rank Heisenberg-Virasoro algebras, which was previously unexplored.
Findings
Explicit descriptions of universal central extensions
Classification of derivations and isomorphism classes
Structural insights into deformed higher rank Heisenberg-Virasoro algebras
Abstract
In this paper, we study a class of infinitesimal deformations of the centerless higher rank Heisenberg-Virasoro algebras. Explicitly, the universal central extensions, derivations and isomorphism classes of these algebras are determined.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Topics in Algebra