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This paper has been withdrawn by the author due to a crucial error.

Strongly Correlated Electrons · Physics 2007-05-23 K. Sasaki , A. A. Farajian , H. Mizuseki , Y. Kawazoe

This paper has been withdrawn by the author, due to an error in the proof of lemma 7.4. However, numerical evidence strongly suggest that this lemma is true.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Todd A. Oliynyk

This paper has been withdrawn by the author due to some problems.

Quantum Physics · Physics 2008-11-28 Peng Li

This paper has been withdrawn by the author due to an error.

Analysis of PDEs · Mathematics 2008-01-27 Kei Morii

This submission has been withdrawn at the request of the author.

Discrete Mathematics · Computer Science 2009-08-25 Raju Renjit. G

This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

Quantum Physics · Physics 2007-05-23 Minh-Dung Dang

This paper has been withdrawn by the author due to that the main results and approaches are closedly parallel to the ones in Lie algebra case.

Rings and Algebras · Mathematics 2010-03-09 Wende Liu , Xuan Liu

The paper has been withdrawn by change of content and some errors in the examples.

Algebraic Geometry · Mathematics 2007-05-23 Abel Castorena

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

Probability · Mathematics 2008-09-15 Qingyang Guan

This paper has been withdrawn by the author.

High Energy Physics - Phenomenology · Physics 2007-05-23 Archil Kobakhidze

This paper has been withdrawn.

Quantum Physics · Physics 2007-05-23 Allen Stairs , Jeffrey Bub

This paper has been withdrawn by the author and it is published in AGAG

Differential Geometry · Mathematics 2010-08-20 Li Ma

This paper has been withdrawn by the authors. Significantly revised versions of the results of this paper are now available in arXiv:0707.0487v2 and arXiv:0808.3169v1.

Geometric Topology · Mathematics 2011-03-08 Krishnendu Gongopadhyay , Ravi S. Kulkarni

This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.

Quantum Physics · Physics 2007-05-23 Oliver A. Ruebenacker

This paper has been withdrawn.

Analysis of PDEs · Mathematics 2015-02-12 David R. Adams , J. Xiao

This paper has been withdrawn by the author.

Strongly Correlated Electrons · Physics 2007-05-23 Xiao-Gang Wen

This paper has been withdrawn.

General Relativity and Quantum Cosmology · Physics 2009-11-04 Sandipan Sengupta

This paper has been withdrawn

History and Overview · Mathematics 2010-05-18 Giorgio Spada

This paper has been withdrawn by the author.

Number Theory · Mathematics 2009-06-19 Yuqing Zhang

This paper was withdrawn by the author.

High Energy Physics - Phenomenology · Physics 2007-05-23 Leonard Susskind
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