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scholarly journals Spin foam models and the Duflo map

2019 ◽  
Vol 37 (1) ◽  
pp. 015010 ◽  
Author(s):  
Marco Finocchiaro ◽  
Daniele Oriti
Keyword(s):  
Spin Foam Models ◽  
Spin Foam ◽  
Duflo Map

scholarly journals Noncommutative Fourier transform for the Lorentz group via the Duflo map

2019 ◽  
Vol 99 (10) ◽  
Author(s):  
Daniele Oriti ◽  
Giacomo Rosati
Keyword(s):  
Fourier Transform ◽  
Lorentz Group ◽  
Duflo Map

scholarly journals Extensions of the Duflo map and Chern–Simons expectation values

2017 ◽  
Vol 121 ◽  
pp. 297-308 ◽  
Author(s):  
Hanno Sahlmann ◽  
Thomas Zilker
Keyword(s):  
Expectation Values ◽  
Duflo Map ◽  
Chern Simons

scholarly journals ON THE ⋆-PRODUCT QUANTIZATION AND THE DUFLO MAP IN THREE DIMENSIONS

2012 ◽  
Vol 27 (35) ◽  
pp. 1250207 ◽  
Author(s):  
LUIGI ROSA ◽  
PATRIZIA VITALE
Keyword(s):  
Quantum Mechanics ◽  
Hydrogen Atom ◽  
Lie Algebra ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Moyal Product ◽  
Product Quantization ◽  
Algebra Of Functions ◽  
Duflo Map

We analyze the ⋆-product induced on ℱ(ℝ3) by a suitable reduction of the Moyal product defined on ℱ(ℝ4). This is obtained through the identification ℝ3≃𝔤*, with 𝔤 a three-dimensional Lie algebra. We consider the 𝔰𝔲(2) case, exhibit a matrix basis and realize the algebra of functions on 𝔰𝔲(2)* in such a basis. The relation to the Duflo map is discussed. As an application to quantum mechanics we compute the spectrum of the hydrogen atom.

scholarly journals Chern–Simons theory, Stokes’ theorem, and the Duflo map

2011 ◽  
Vol 61 (6) ◽  
pp. 1104-1121 ◽  
Author(s):  
Hanno Sahlmann ◽  
Thomas Thiemann
Keyword(s):  
Simons Theory ◽  
Duflo Map ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity

2008 ◽  
Vol 25 (4) ◽  
pp. 045006 ◽  
Author(s):  
Laurent Freidel ◽  
Shahn Majid
Keyword(s):  
Quantum Gravity ◽  
Harmonic Analysis ◽  
Sampling Theory ◽  
Duflo Map
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