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1

Traces for Star Products on the Dual of a Lie Algebra

Bieliavsky, Pierre, Gutt, Simone, Bordemann, Martin, Waldmann, Stefan

Journal:

Reviews in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 278 KB

english, 2003

2

Rankin–Cohen brackets and formal quantization

Pierre Bieliavsky, Xiang Tang, Yijun Yao

Journal:

Advances in Mathematics

Year:

2007

Language:

english

File:

PDF, 238 KB

english, 2007

3

Convergent Star Product Algebras on ‘ax+b’

Pierre Bieliavsky, Yoshiaki Maeda

Journal:

Letters in Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 141 KB

english, 2002

4

Deformation quantization for Heisenberg supergroup

Pierre Bieliavsky, Axel de Goursac, Gijs Tuynman

Journal:

Journal of Functional Analysis

Year:

2012

Language:

english

File:

PDF, 427 KB

english, 2012

5

SYMPLECTIC CONNECTIONS

BIELIAVSKY, PIERRE, CAHEN, MICHEL, GUTT, SIMONE, RAWNSLEY, JOHN, SCHWACHHÖFER, LORENZ

Journal:

International Journal of Geometric Methods in Modern Physics

Year:

2006

Language:

english

File:

PDF, 531 KB

english, 2006

6

Non-formal star-exponential on contracted one-sheeted hyperboloids

Bieliavsky, Pierre, de Goursac, Axel, Maeda, Yoshiaki, Spinnler, Florian

Journal:

Advances in Mathematics

Year:

2016

Language:

english

File:

PDF, 1.07 MB

english, 2016

7

Addendum: On deformations of C∗-algebras by actions of Kählerian Lie groups

Bieliavsky, Pierre, Gayral, Victor, Neshveyev, Sergey, Tuset, Lars

Journal:

International Journal of Mathematics

Year:

2019

Language:

english

File:

PDF, 217 KB

english, 2019

8

Parametrizing Equivalence Classes of Invariant Star Products

Mélanie Bertelson, Pierre Bieliavsky, Simone Gutt

Journal:

Letters in Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 75 KB

english, 1998

9

Oscillatory Integral Formulae for Left-invariant Star Products on a Class of Lie Groups

Pierre Bieliavsky, Marc Massar

Journal:

Letters in Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 150 KB

english, 2001

10

Open strings in Lie groups and associative products

Pierre Bieliavsky, Charles Jego, Jan Troost

Journal:

Nuclear Physics B

Year:

2007

Language:

english

File:

PDF, 723 KB

english, 2007

11

ON THE GEOMETRY OF THE CHARACTERISTIC CLASS OF A STAR PRODUCT ON A SYMPLECTIC MANIFOLD

BIELIAVSKY, PIERRE, BONNEAU, PHILIPPE

Journal:

Reviews in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 235 KB

english, 2003

12

Strict Deformation Quantization for Actions of a Class of Symplectic Lie Groups

Bieliavsky, Pierre, Massar, Marc

Journal:

Progress of Theoretical Physics Supplement

Year:

2002

Language:

english

File:

PDF, 224 KB

english, 2002

13

[Trends in Mathematics] Geometric Methods in Physics || On Some Quaternionic Coherent States and Wavelets

Kielanowski, Piotr, Bieliavsky, Pierre, Odzijewicz, Anatol, Schlichenmaier, Martin, Voronov, Theodore

Year:

2015

Language:

english

File:

PDF, 220 KB

english, 2015

14

Star products on extended massive non-rotating BTZ black holes

Bieliavsky, Pierre, Detournay, St ane, Rooman, Marianne, Spindel, Philippe

Journal:

Journal of High Energy Physics

Year:

2004

Language:

english

File:

PDF, 326 KB

english, 2004

15

[Trends in Mathematics] Geometric Methods in Physics || Differential Equations on Complex Manifolds

Kielanowski, Piotr, Bieliavsky, Pierre, Odzijewicz, Anatol, Schlichenmaier, Martin, Voronov, Theodore

Year:

2015

Language:

english

File:

PDF, 314 KB

english, 2015

16

[Trends in Mathematics] Geometric Methods in Physics ||

Kielanowski, Piotr, Bieliavsky, Pierre, Odzijewicz, Anatol, Schlichenmaier, Martin, Voronov, Theodore

Year:

2015

Language:

english

File:

PDF, 3.69 MB

english, 2015

17

[Trends in Mathematics] Geometric Methods in Physics || Examples of Hamiltonian Systems on the Space of Deformed Skew-symmetric Matrices

Kielanowski, Piotr, Bieliavsky, Pierre, Odzijewicz, Anatol, Schlichenmaier, Martin, Voronov, Theodore

Year:

2015

Language:

english

File:

PDF, 204 KB

english, 2015

18

[Trends in Mathematics] Geometric Methods in Physics || Supersymmetric Vector Coherent States for Systems with Zeeman Coupling and Spin-Orbit Interactions

Kielanowski, Piotr, Bieliavsky, Pierre, Odzijewicz, Anatol, Schlichenmaier, Martin, Voronov, Theodore

Year:

2015

Language:

english

File:

PDF, 269 KB

english, 2015

19

On deformations of C∗-algebras by actions of Kählerian Lie groups

Bieliavsky, Pierre, Gayral, Victor, Neshveyev, Sergey, Tuset, Lars

Journal:

International Journal of Mathematics

Year:

2016

Language:

english

File:

PDF, 348 KB

english, 2016

20

[Trends in Mathematics] Geometric Methods in Physics || Representations of Nilpotent Lie Groups via Measurable Dynamical Systems

Kielanowski, Piotr, Ali, S. Twareque, Bieliavsky, Pierre, Odzijewicz, Anatol, Schlichenmaier, Martin, Voronov, Theodore

Year:

2016

Language:

english

File:

PDF, 241 KB

english, 2016

21

[Trends in Mathematics] Geometric Methods in Physics || A New Proof of the Helton–Howe–Carey–Pincus Trace Formula

Kielanowski, Piotr, Ali, S. Twareque, Bieliavsky, Pierre, Odzijewicz, Anatol, Schlichenmaier, Martin, Voronov, Theodore

Year:

2016

Language:

english

File:

PDF, 247 KB

english, 2016

22

[Trends in Mathematics] Geometric Methods in Physics || Painlevé Equations and Supersymmetric Quantum mechanics

Kielanowski, Piotr, Ali, S. Twareque, Bieliavsky, Pierre, Odzijewicz, Anatol, Schlichenmaier, Martin, Voronov, Theodore

Year:

2016

Language:

english

File:

PDF, 527 KB

english, 2016

23

[Trends in Mathematics] Geometric Methods in Physics ||

Kielanowski, Piotr, Ali, S. Twareque, Bieliavsky, Pierre, Odzijewicz, Anatol, Schlichenmaier, Martin, Voronov, Theodore

Year:

2016

Language:

english

File:

PDF, 5.24 MB

english, 2016

24

[Trends in Mathematics] Geometric Methods in Physics || Time-dependent Pais–Uhlenbeck Oscillator and Its Decomposition

Kielanowski, Piotr, Ali, S. Twareque, Bieliavsky, Pierre, Odzijewicz, Anatol, Schlichenmaier, Martin, Voronov, Theodore

Year:

2016

Language:

english

File:

PDF, 143 KB

english, 2016

25

[Trends in Mathematics] Geometric Methods in Physics || Science and its Constraints (an unfinished story)

Kielanowski, Piotr, Ali, S. Twareque, Bieliavsky, Pierre, Odzijewicz, Anatol, Schlichenmaier, Martin, Voronov, Theodore

Year:

2016

Language:

english

File:

PDF, 153 KB

english, 2016

26

Noncommutative Principal Bundles Through Twist Deformation

Aschieri, Paolo, Bieliavsky, Pierre, Pagani, Chiara, Schenkel, Alexander

Journal:

Communications in Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 1.04 MB

english, 2017

27

Obstructions for twist star products

Bieliavsky, Pierre, Esposito, Chiara, Waldmann, Stefan, Weber, Thomas

Journal:

Letters in Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 399 KB

english, 2018

28

Noncommutative field theory on rank one symmetric spaces

Bieliavsky, Pierre, Gurau, Razvan, Rivasseau, Vincent

Journal:

Journal of Noncommutative Geometry

Year:

2009

Language:

english

File:

PDF, 259 KB

english, 2009

29

Addendum: On deformations of C∗-algebras by actions of Kählerian Lie groups

Bieliavsky, Pierre, Gayral, Victor, Neshveyev, Sergey, Tuset, Lars

Journal:

International Journal of Mathematics

Year:

2019

File:

PDF, 217 KB

2019