Author: Nadia Bel Baraka

0000000001051202

AUTHOR

Nadia Bel Baraka

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

2001

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.

[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 sciencesMathematical 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 AlgebraMathematics - Quantum AlgebraFOS: 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 AstrophysicsMathematical Physics

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