
Using the Coherent states of many fermionic degrees of freedom labeled by Gra��mann variables, we introduce the noncommutative (precisely non anticommutative) Gra��mann star product. The covariance of star product under unitary transformations, particularly canonical ones, is studied. The super star product, based on supercoherent states of supersymmetric harmonic oscillator, is also considered.
Deformation quantization, star products, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, covariance, star products, FOS: Physical sciences, Coherent states, Mathematical Physics (math-ph), fermionic coherent states, Mathematical Physics
Deformation quantization, star products, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, covariance, star products, FOS: Physical sciences, Coherent states, Mathematical Physics (math-ph), fermionic coherent states, Mathematical Physics
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