# Batalin–Vilkovisky algebra (Q4868564)

algebra arising in the quantization of gauge systems, generated by fields, antifields, ghosts, and antighosts; has the structure of a Gerstenhaber algebra equipped with a degree −1 operator Δ (the BV Laplacian)
• Batalin–Vilkovisky formalism
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Batalin–Vilkovisky algebra
algebra arising in the quantization of gauge systems, generated by fields, antifields, ghosts, and antighosts; has the structure of a Gerstenhaber algebra equipped with a degree −1 operator Δ (the BV Laplacian)
• Batalin–Vilkovisky formalism

## Statements

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${\displaystyle (a,b)=(-1)^{\left|a\right|}\Delta (ab)-(-1)^{\left|a\right|}\Delta (a)b-a\Delta (b)+a\Delta (1)b}$
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