Araştırma Makalesi
BibTex RIS Kaynak Göster

Polynomial Poly-Vector Fields

Yıl 2009, Cilt: 2 Sayı: 1, 55 - 73, 30.04.2009

Frank Klinker

Öz

Anahtar Kelimeler

poly vector field decomposition poisson structure jacobi structure

Kaynakça

  • [1] Azcarrage, J.A., Perelomov, A.M. and Perez Bueno, J.C., The Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures. J. Phys. A, Math. Gen., 29(24):7993-8009, 1996.
  • [2] Azcarrage, J.A., Perelomov, A.M. and Perez Bueno, J.C., Generalized Poisson structures. arXiv: hep-th/9611221 v2, 1996.
  • [3] Bhaskara, K.H. and Rama, K., Quadratic Poisson structures. J. Math. Phys., 32(9):2319- 2322, 1991.
  • [4] Cari~nena, J. F., Ibort, A., Marmo, G. and Perelomov, A. M., On the geometry of Lie algebras and Poisson tensors. J. Phys. A, Math. Gen., 27(22):7425-7449, 1994. x
  • [5] Dufour, Jean-Paul and Haraki, Abdeljalil, Rotationels et structures de Poisson quadratiques. C. R. Acad. Sci. Paris, Ser.I, (312):137-140, 1991.
  • [6] Fulton, William and Harris, Joe, Representation Theory. Graduate Texts in Mathematics 129. Springer-Verlag, New York, 1991.
  • [7] Grabowski, J., Marmo, G. and Perelomov, A. M., Poisson structures: towards a classi¯cation. Modern Phys. Lett. A, 8(18):1719-1733, 1993.
  • [8] Klinker, Frank, Quadratic Poisson structures in dimension four. Available at http://www.mathematik.tu-dortmund.de/∼klinker.
  • [9] Kobayashi, Shoshichi and Nomizu, Katsumi, Foundations of Differential Geometry. Vol. I. Wiley Classics Library. John Wiley & Sons Inc., New York, 1996.
  • [10] Koszul, Jean-Louis, Crochet de Schouten-Nijenhuis et cohomologie. (Schouten-Nijenhuis bracket and cohomology). In Elie Cartan et les mathematiques d'aujourd'hui, The mathematical heritage of Elie Cartan, Semin. Lyon 1984, Asterisque, No.Hors Ser. 1985, 257-271,1985.
  • [11] Lin, Qian, Liu, Zhangju and Sheng, Yunhe, Quadratic deformations of Lie-Poisson structures. Lett. Math. Phys., 83(3):217-229, 2008.
  • [12] Liu, Zhangju and Xu, Ping, On quadratic Poisson structures. Lett. Math. Phys., 26(1):33-42, 1992.
  • [13] Malek, F. and Shafei Deh Abad, A., Homogeneous Poisson structures. Bull. Aust. Math. Soc., 54(2):203-210, 1996.
  • [14] Manchon, D., Masmoudi, M. and Roux, A., On quantization of quadratic Poisson structures. Comm. Math. Phys., 22(1):121-130, 2002.
  • [15] Perez Bueno, J.C., Generalized Jacobi structures. J. Phys. A, Math. Gen., 30(18):6509-6515, 1996.
  • [16] Petalidou, Fani, On a new relation between Jacobi and homogeneous Poisson manifolds. J. Phys. A, Math. Gen., 35:2505-2518, 2002.
  • [17] Sheng, Yunhe , Linear Poisson structures on R4. Journal of Geometry and Physics, 57(11) Pages 2398-2410, 2007.

Yıl 2009, Cilt: 2 Sayı: 1, 55 - 73, 30.04.2009

Frank Klinker

Öz

Kaynakça

  • [1] Azcarrage, J.A., Perelomov, A.M. and Perez Bueno, J.C., The Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures. J. Phys. A, Math. Gen., 29(24):7993-8009, 1996.
  • [2] Azcarrage, J.A., Perelomov, A.M. and Perez Bueno, J.C., Generalized Poisson structures. arXiv: hep-th/9611221 v2, 1996.
  • [3] Bhaskara, K.H. and Rama, K., Quadratic Poisson structures. J. Math. Phys., 32(9):2319- 2322, 1991.
  • [4] Cari~nena, J. F., Ibort, A., Marmo, G. and Perelomov, A. M., On the geometry of Lie algebras and Poisson tensors. J. Phys. A, Math. Gen., 27(22):7425-7449, 1994. x
  • [5] Dufour, Jean-Paul and Haraki, Abdeljalil, Rotationels et structures de Poisson quadratiques. C. R. Acad. Sci. Paris, Ser.I, (312):137-140, 1991.
  • [6] Fulton, William and Harris, Joe, Representation Theory. Graduate Texts in Mathematics 129. Springer-Verlag, New York, 1991.
  • [7] Grabowski, J., Marmo, G. and Perelomov, A. M., Poisson structures: towards a classi¯cation. Modern Phys. Lett. A, 8(18):1719-1733, 1993.
  • [8] Klinker, Frank, Quadratic Poisson structures in dimension four. Available at http://www.mathematik.tu-dortmund.de/∼klinker.
  • [9] Kobayashi, Shoshichi and Nomizu, Katsumi, Foundations of Differential Geometry. Vol. I. Wiley Classics Library. John Wiley & Sons Inc., New York, 1996.
  • [10] Koszul, Jean-Louis, Crochet de Schouten-Nijenhuis et cohomologie. (Schouten-Nijenhuis bracket and cohomology). In Elie Cartan et les mathematiques d'aujourd'hui, The mathematical heritage of Elie Cartan, Semin. Lyon 1984, Asterisque, No.Hors Ser. 1985, 257-271,1985.
  • [11] Lin, Qian, Liu, Zhangju and Sheng, Yunhe, Quadratic deformations of Lie-Poisson structures. Lett. Math. Phys., 83(3):217-229, 2008.
  • [12] Liu, Zhangju and Xu, Ping, On quadratic Poisson structures. Lett. Math. Phys., 26(1):33-42, 1992.
  • [13] Malek, F. and Shafei Deh Abad, A., Homogeneous Poisson structures. Bull. Aust. Math. Soc., 54(2):203-210, 1996.
  • [14] Manchon, D., Masmoudi, M. and Roux, A., On quantization of quadratic Poisson structures. Comm. Math. Phys., 22(1):121-130, 2002.
  • [15] Perez Bueno, J.C., Generalized Jacobi structures. J. Phys. A, Math. Gen., 30(18):6509-6515, 1996.
  • [16] Petalidou, Fani, On a new relation between Jacobi and homogeneous Poisson manifolds. J. Phys. A, Math. Gen., 35:2505-2518, 2002.
  • [17] Sheng, Yunhe , Linear Poisson structures on R4. Journal of Geometry and Physics, 57(11) Pages 2398-2410, 2007.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Frank Klinker Bu kişi benim

Yayımlanma Tarihi 30 Nisan 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 2 Sayı: 1

Kaynak Göster

APA Klinker, F. (2009). Polynomial Poly-Vector Fields. International Electronic Journal of Geometry, 2(1), 55-73.
AMA Klinker F. Polynomial Poly-Vector Fields. Int. Electron. J. Geom. Nisan 2009;2(1):55-73.
Chicago Klinker, Frank. “Polynomial Poly-Vector Fields”. International Electronic Journal of Geometry 2, sy. 1 (Nisan 2009): 55-73.
EndNote Klinker F (01 Nisan 2009) Polynomial Poly-Vector Fields. International Electronic Journal of Geometry 2 1 55–73.
IEEE F. Klinker, “Polynomial Poly-Vector Fields”, Int. Electron. J. Geom., c. 2, sy. 1, ss. 55–73, 2009.
ISNAD Klinker, Frank. “Polynomial Poly-Vector Fields”. International Electronic Journal of Geometry 2/1 (Nisan 2009), 55-73.
JAMA Klinker F. Polynomial Poly-Vector Fields. Int. Electron. J. Geom. 2009;2:55–73.
MLA Klinker, Frank. “Polynomial Poly-Vector Fields”. International Electronic Journal of Geometry, c. 2, sy. 1, 2009, ss. 55-73.
Vancouver Klinker F. Polynomial Poly-Vector Fields. Int. Electron. J. Geom. 2009;2(1):55-73.