A kind of infinite-dimensional Novikov algebras and its realization
Liangyun Chen, Yao Ma, Haijun Yu
TL;DR
This paper introduces a new class of infinite-dimensional Novikov algebras and provides explicit realizations using hyperbolic sine and cosine functions, expanding the understanding of algebraic structures in infinite dimensions.
Contribution
It constructs a novel infinite-dimensional Novikov algebra and offers a concrete realization using hyperbolic functions, which was not previously established.
Findings
New infinite-dimensional Novikov algebra constructed
Explicit realization via hyperbolic functions provided
Advances understanding of algebraic structures in infinite dimensions
Abstract
In this paper, we construct a kind of infinite-dimensional Novikov algebras and give its realization by hyperbolic sine functions and hyperbolic cosine functions.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Logic