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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
142/2006

Noncommutative Integrable Systems and Diffeomorphism on Quantum Spaces

Partha Guha

Abstract

Following Aschieri et al. [Classical Quantum Gravity 22 (2005), no. 17, 3511--3532] construction of deformed algebra of diffeomorphism group the $\star$-deformed $Vect(S^1)$ action on tensor densities of arbitrary degree $\lambda$ on a circle $S^1$ is studied. We derive Noncommutative Korteweg-de Vries (KdV) and Noncommutative Burgers equations in this method.

Received:
Dec 5, 2006
Published:
Dec 5, 2006
PACS:
02.40.Gh, 02.20.Uw
Keywords:
Vector field, deformed spaces, deformed diffeomorphisms

Related publications

inJournal
2007 Repository Open Access
Partha Guha

Noncommutative integrable systems and diffeomorphism on quantum spaces

In: Classical and quantum gravity, 24 (2007) 2, pp. 497-506