Journal of Lie Theory

no. 1
Equivalence of Characters in Deformation Quantization and Lie Theory
Journal of Lie Theory, Volume 24 (2014) no. 1, pp. 77-96
Let αf be the Penney distribution associated to an element f in g*, where g is a nilpotent Lie algebra. We prove that the analytical character of αf coincides with the biquantization character of the zero degree cohomology of the Cattaneo-Felder A∞ algebra in the linear case.
DOI: 10.5802/jolt.776
Classification: 53D55, 22E35, 17B15, 16S32
Keywords: Deformation quantization, orbit method, invariant differential operators, nilpotent Lie algebras 
@article{JOLT_2014_24_1_a3,
     author = {P. Batakidis},
     title = {Equivalence of {Characters} in {Deformation} {Quantization} and {Lie} {Theory}},
     journal = {Journal of Lie Theory},
     pages = {77--96},
     year = {2014},
     volume = {24},
     number = {1},
     doi = {10.5802/jolt.776},
     zbl = {1298.53094},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.776/}
}
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P. Batakidis. Equivalence of Characters in Deformation Quantization and Lie Theory. Journal of Lie Theory, Volume 24 (2014) no. 1, pp. 77-96. doi: 10.5802/jolt.776

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