Singular Virasoro vectors and Lie algebra cohomology
Dmitry Millionschikov
TL;DR
This paper derives explicit formulas for a new family of Virasoro singular vectors and applies these to compute differentials in a specific Lie algebra cohomology resolution, advancing understanding of Virasoro algebra structures.
Contribution
It introduces explicit formulas for Virasoro singular vectors and uses them to compute differentials in a cohomology resolution, providing new tools for Lie algebra cohomology analysis.
Findings
Explicit formulas for Virasoro singular vectors
Formulas for differentials in the Feigin-Fuchs-Rocha-Carridi-Wallach resolution
Enhanced understanding of Virasoro algebra cohomology
Abstract
We present an explicit formula for a new family of Virasoro singular vectors. As a corrolary we get formulas for differentials of Feigin-Fuchs-Rocha-Carridi-Wallach resolution of the the positive nilpotent part of Virasoro (or Witt) algebra .
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons