Maps on the mirror Heisenberg-Virasoro algebra, II
Xuelian Guo, Ivan Kaygorodov, Liming Tang
TL;DR
This paper investigates binary maps on the mirror Heisenberg-Virasoro algebra, focusing on biderivations and left-symmetric algebra structures, expanding the understanding of algebraic maps in this mathematical framework.
Contribution
It introduces a detailed study of biderivations and left-symmetric algebra structures on the complex mirror Heisenberg-Virasoro algebra, complementing previous unary map analysis.
Findings
Classification of biderivations on the algebra
Construction of new left-symmetric algebra structures
Extension of algebraic map theory in the mirror Heisenberg-Virasoro context
Abstract
This is the second paper in our series of papers dedicated to the study of maps on the mirror Heisenberg-Virasoro algebra. The first paper is dedicated to the study of unary maps and the present paper is dedicated to the study of binary maps. Namely, we describe biderivations and left-symmetric algebra structures on the complex mirror Heisenberg-Virasoro algebra.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models