Related papers: Poisson-Lie Odd Bracket on Grassmann Algebra
This paper has been withdrawn by the author(s)!
This paper has been withdrawn by the author(s), due to double submission. You can find it under: physics/0208019
This paper has been withdrawn by the authors due to some errors.
This paper has been withdrawn by the author as it has already been submitted under the title "Twisted character of a small Representation of GL(4)".
It is shown that two definitions for the exterior differential in superspace, giving the same exterior calculus, when applied to the Poisson bracket lead to the different results. Examples of the even and odd linear brackets, corresponding…
Withdrawn. Submittal to journal withdrawn by author in Dec 1999.
This paper has been withdrawn by Wenji Deng (e-mail: [email protected]) for further modification at Oct. 12, 1998. {PACS: 03.75.Fi, 05.30.Jp.64.60.-i, 32.80.Pj}
The topics covered in this thesis may be divided into three parts. Firstly, we perform a study on the most general branes which are consistent with the Poisson sigma model, both at the classical and quantum levels. The second part is…
This paper has been withdrawn by the author due to a gap in the proof of Lemma 3.4
We employ the Poisson-Lie group of pseudo-difference operators to define lattice analogs of classical $W_m$-algebras. We then show that the so-constructed algebras coincide with the ones given by discrete Drinfeld-Sokolov type reduction.
The Comment by Xiong et al. (arXiv:1610.06275) criticizing my Letter [Phys. Rev. Lett. 116, 133903 (2016)] was rejected by Physical Review Letters. In this Reply, I show that all their claims are wrong.
In this Note, we provide the comments on the paper [A note on the hit problem for the polynomial algebra in the case of odd primes and its application] which was published in the RACSAM [Rev. Real. Acad. Cienc. Exactas. Fis. Nat. Ser.…
This paper has been withdrawn by the author, due to an important sign error in Eqn. 2.
This paper has been withdrawn due to non-clearness of some technical points, as well as lack of a reasonable statement of quantization conjecture.
This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.
Some applications of the odd Poisson bracket to the description of the classical and quantum dynamics are represented.
This paper has been withdrawn by the author
This paper has been withdrawn by the author due to a crucial error.
We give an explicit description of commutative post-Lie algebra structures on some classes of nilpotent Lie algebras. For non-metabelian filiform nilpotent Lie algebras and Lie algebras of strictly upper-triangular matrices we show that all…
The author decided to withdraw this paper by 1) an error in Lemma 5.11 (and 5.12) which requires some justification; 2) the main result of this paper suffers overlap with arXiv:1203.5254; 3) the author decided to split arXiv:1203.5254 into…