Kontsevich and Takhtajan construction of star product on the Poisson Lie group GL(2)

6533b859fe1ef96bd12b82df

RESEARCH PRODUCT

Kontsevich and Takhtajan construction of star product on the Poisson Lie group GL(2)

Nadia Bel Baraka

subject

[MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA][ MATH.MATH-QA ] Mathematics [math]/Quantum Algebra [math.QA][PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph][ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]FOS: Physical sciences Mathematical Physics (math-ph)Astrophysics::Cosmology and Extragalactic Astrophysics [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph][MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]Mathematics::Quantum Algebra Mathematics - Quantum Algebra FOS: Mathematics [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA]Quantum Algebra (math.QA)Astrophysics::Solar and Stellar Astrophysics [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph]Astrophysics::Earth and Planetary Astrophysics [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]Astrophysics::Galaxy Astrophysics Mathematical Physics

description

Comparing the star product defined by Takhtajan on the Poisson-Lie group GL(2) and any star product calculated from the Kontsevich's graphs (any ''K-star product'') on the same group, we show, by direct computation, that the Takhtajan star product on GL(2) can't be written as a K-star product.

year	journal	country	edition	language
2001-11-27

https://hal.science/hal-00012907

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