Extensions and contractions of the Lie algebra of q-pseudodifferential symbols (original) (raw)

The algebra of q-pseudodifferential symbols and the q-WKP(n) algebra

Javier Mas

Journal of Mathematical Physics, 1996

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Star products, quantum groups, cyclic cohomology and pseudodifferential calculus

Daniel Sternheimer

Contemporary Mathematics, 1994

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V ect ( S 1 ) Action on Pseudodifferential Symbols on S 1 and (Noncommutative) Hydrodynamic Type Systems

Partha Guha

Journal of Nonlinear Mathematical Physics, 2006

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Deforming the Lie algebra of vector fields on S1S^1S1 inside the Lie algebra of pseudodifferential symbols on S1S^1S1

Claude ROGER

1999

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Twisting Poisson algebras, coPoisson algebras and Quantization

Olivier Elchinger, Abdenacer Makhlouf

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2-Cocycles on the algebra of differential operators

Wanglai Li

Journal of Algebra, 1989

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Global Pseudo-differential Operators on the Quantum Group SUq(2)SU_q(2)SUq(2)

CARLOS ANDRES RODRIGUEZ TORIJANO

arXiv: Quantum Algebra, 2018

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Realization of Vector Fields for Quantum Groups as Pseudodifferential Operators on Quantum Spaces

Chong-sun Chu

arXiv: Quantum Algebra, 1995

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Models of q-algebra representations: Matrix elements of the q-oscillator algebra

Willard Miller

Journal of Mathematical Physics, 1993

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The algebra of differential operators on the circle and W KP (q)

José FigueroaOFarrill

Letters in Mathematical Physics, 1993

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Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups

Alexánder Cardona

2000

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Models of q-algebra representations: Tensor products of special unitary and oscillator algebras

Willard Miller

Journal of Mathematical Physics, 1992

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Extension of the Virasoro and Neveu-Schwartz algebras and generalized Sturm-Liouville operators

Valentin Ovsienko

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Realizations of q-Deformed Virasoro Algebra

Haru To

Progress of Theoretical Physics, 1993

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q-deformed classical Lie algebras and their anyonic realization

Marialuisa Frau

Journal of Physics A: Mathematical and General, 1994

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A General q-Oscillator Algebra

Leong Chuan Kwek

1998

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Lie algebras and recurrence relations III:q-analogs and quantized algebras

Philip Feinsilver

Acta Applicandae Mathematicae, 1990

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Geometry of Pseudodifferential algebra bundles and Fourier Integral Operators

Varghese Mathai

2012

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The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier-Jacobi Algebra

Karl Hallowell

Symmetry, Integrability and Geometry: Methods and Applications, 2007

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WEIGHTED TRACES ON ALGEBRAS OF PSEUDO-DIFFERENTIAL OPERATORS AND GEOMETRY ON LOOP GROUPS January 2000

Alexánder Cardona

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Deforming 𝔥-trivial the Lie algebra Vect(S1) inside the Lie algebra of pseudodifferential operators Ψ𝒟𝒪

Jean LERBET

International Journal of Geometric Methods in Modern Physics

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On Regular Fréchet-Lie Groups III; A Second Cohomology Class Related to the Lie Algebra of Pseudo-Differential Operators of Order One

akira yoshioka

Tokyo Journal of Mathematics, 1981

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Models of q‐algebra representations: q‐integral transforms and ‘‘addition theorems’’

Willard Miller

Journal of Mathematical Physics, 1994

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Weighted Traces on Algebras of Pseudo- Differential Operators and Geometry of Loop Groups ARTICLE in INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS · DECEMBER 2002

Magnot Jean-Pierre

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Lie Subalgebras of the Matrix Quantum Pseudodifferential Operators

Karina Batistelli

Advances in Mathematical Physics, 2016

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Extended symmetries and Poisson algebras associated to twisted Dirac structures

Alexander Cardona

Contemporary Mathematics, 2012

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Some Classical and Quantum Algebras

Gregg Zuckerman

Lie Theory and Geometry, 1994

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Introduction to quantum Lie algebras

Gustav Delius

Arxiv preprint q-alg/9605026, 1996

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Virasoro Action on Pseudo-Differential Symbols and (Noncommutative) Supersymmetric Peakon Type Integrable Systems

Partha Guha

Acta Applicandae Mathematicae, 2008

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Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective

Elena Panasenko

Theoretical and Mathematical Physics, 2013

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A Hamiltonian Action of the Schrodinger-Virasoro Algebra on a Space of Periodic Time-Dependent Schrodinger Operators in (1+1)-DIMENSIONS

Claude ROGER

2010

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Twisted Crossed Products and Magnetic Pseudodieren tial Operators

Radu Purice

arXiv (Cornell University), 2004

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