Related papers: Poisson-Lie Odd Bracket on Grassmann Algebra
In this note the notion of Poisson brackets in Kontsevich's "Lie World" is developed. These brackets can be thought of as "universally" defined classical Poisson structures, namely formal expressions only involving the structure maps of a…
This paper has been withdrawn by the author. The content of the previous versions is now covered by the more recent papers - math.DG/0610252 (concerning the Lie group structuren on the gauge groups) - math.DG/0612522 (concerning the weak…
This paper has been withdrawn by the author, due to a crucial error in page 5.
This paper has been withdrawn by the author due to a error in attachment of source file.
The paper is withdrawn by the author. Parts of the contents are expanded into separate papers; hep-th/0308015 LOCALIZED TACHYON MASS AND A G-THEOREM ANALOGUE, hep-th/0308028 COMMENTS ON THE FATE OF UNSTABLE ORBIFOLDS, hep-th/0308029 CHIRAL…
Poisson-Lie T-duality is explained using the language of Courant algebroids.
This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.
We consider $\sigma$-models on para-complex $\mathbb{Z}_T$-cosets, which are analogues of those on complex homogeneous target spaces considered recently by D. Bykov. For these models, we show the existence of a gauge-invariant Lax…
The purpose of this paper is to bring together various loose ends in the theory of integrable systems. For a semisimple Lie algebra $\mathfrak g$, we obtain several results on completeness of homogeneous Poisson-commutative subalgebras of…
This paper has been withdrawn by the authors, due a crucial error in Sec. 3.
We show that the external algebra $\cal M$ on $GL(N)$ can be equipped with the graded Poisson brackets compatible with the group action. We prove that there are only two graded Poisson-Lie structures (brackets) on $\cal M$ and we obtain…
This paper has been withdrawn due to a crucial theoretical error.
This paper has been withdrawn by the author due to a coming paper completely superseding it.
This paper has been withdrawn by the author for further investigation.
This paper has been withdrawn by the author.
This paper has been withdrawn.
We describe a simple procedure for constructing a Lax pair for suitable 2-dimensional $\sigma$-models appearing in Poisson-Lie T-duality
This paper has been withdrawn by the author, since it is now a part of "Classical aspects of lightlike dimensional reduction" Class.Quant.Grav.23:7085-7110, 2006, gr-qc/0610011
This paper has been withdrawn by UCHINO.
The complete list of Poisson-Lie structures on 4-d Galilei group is presented.