Noncommutative integrable systems and diffeomorphism on quantum spaces

Partha Guha

doi:10.1088/0264-9381/24/2/013

Noncommutative integrable systems and diffeomorphism on quantum spaces

Partha Guha

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Following Aschieri et al's (2005 Class. Quantum Grav. 22 3511-32), construction of the deformed algebra of a diffeomorphism group, the -deformed Vect(S¹) action on tensor densities of arbitrary degree λ on a circle S¹ is studied. We derive noncommutative Korteweg-de Vries (KdV) and noncommutative Burgers equations in this method.

Original language	British English
Article number	013
Pages (from-to)	497-506
Number of pages	10
Journal	Classical and Quantum Gravity
Volume	24
Issue number	2
DOIs	https://doi.org/10.1088/0264-9381/24/2/013
State	Published - 21 Jan 2007

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title = "Noncommutative integrable systems and diffeomorphism on quantum spaces",

abstract = "Following Aschieri et al's (2005 Class. Quantum Grav. 22 3511-32), construction of the deformed algebra of a diffeomorphism group, the -deformed Vect(S1) action on tensor densities of arbitrary degree λ on a circle S1 is studied. We derive noncommutative Korteweg-de Vries (KdV) and noncommutative Burgers equations in this method.",

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AB - Following Aschieri et al's (2005 Class. Quantum Grav. 22 3511-32), construction of the deformed algebra of a diffeomorphism group, the -deformed Vect(S1) action on tensor densities of arbitrary degree λ on a circle S1 is studied. We derive noncommutative Korteweg-de Vries (KdV) and noncommutative Burgers equations in this method.

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Noncommutative integrable systems and diffeomorphism on quantum spaces

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