A note on free bosonic vertex algebra and its conformal vectors
Atsushi Matsuo (The University of Tokyo), Kiyokazu Nagatomo (Osaka, University)
TL;DR
This paper classifies all Heisenberg and conformal vectors in the free bosonic vertex algebra without gradation and determines its full automorphism group, introducing the concept of inner automorphisms.
Contribution
It provides a complete classification of conformal structures and automorphisms for the free bosonic vertex algebra, including a new notion of inner automorphisms.
Findings
Classification of all Heisenberg vectors
Classification of all conformal vectors
Determination of the automorphism group
Abstract
We classify all the Heisenberg and conformal vectors and determine the full automorphism group of the free bosonic vertex algebra without gradation. To describe it we introduce a notion of inner automorphisms of a vertex algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Tensor decomposition and applications