128
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

2-Cocycles of Twisted Deformative Schrödinger–Virasoro Algebras

Pages 1933-1950 | Received 28 Feb 2011, Published online: 15 Jun 2012

REFERENCES

  • Bakalov , B. , Kac , V. G. , Voronov , A. A. ( 1999 ). Cohomology of conformal algebras . Comm. Math. Phys. 200 : 561 – 598 .
  • Gao , S. , Jiang , C. , Pei , Y. ( 2009 ). Structure of the extended Schrödinger–Virasoro Lie algebra . Alg. Colloq. 16 ( 4 ): 549 – 566 .
  • Henkel , M. ( 1994 ). Schrödinger invariance and strongly anisotropic critical systems J. Stat. Phys. 75:1023–1029 .
  • Henkel , M. ( 2002 ). Phenomenology of local scale invariance: From conformal invariance to dynamical scaling . Nucl. Phys. B 641 : 405 – 410 .
  • Henkel , M. , Unterberger , J. ( 2003 ). Schrödinger invariance and space-time symmetries . Nucl. Phys. B 660 : 407 – 412 .
  • Li , J. , Su , Y. ( 2008 ). The derivation algebra and automorphism group of the twisted Schrödinger–Virasoro algebra. arXiv:0801.2207v1 .
  • Li , J. , Su , Y. ( 2008 ). Representations of the Schrödinger–Virasoro algebras . J. Math. Phys. 49 ( 5 ): 053512 .
  • Li , J. , Su , Y. , Zhu. L. ( 2008 ). 2-Cocycles of original deformative Schrödinger–Virasoro algebra . Science in China Series A 51 ( 11 ): 1989 – 1999 .
  • Li , W. ( 1989 ). 2-Cocycles on the algebra of differential operators . J. Alg. 122 : 64 – 80 .
  • Li , W. , Wilson , R. L. ( 1998 ). Central extensions of some Lie algebras . Proc. Amer. Math. Soc. 126 : 2569 – 2577 .
  • Roger , C. , Unterberger , J. ( 2006 ). The Schrödinger–Virasoro Lie group and algebra: From geometry to representation theory. Ann. Henri Poincaré 7:1477–1529 .
  • Scheunert , M. , Zhang , R. B. ( 1998 ). Cohomology of Lie superalgebras and their generalizations . J. Math. Phys. 39 : 5024 – 5061 .
  • Su , Y. ( 1990 ). 2-Cocycles on the Lie algebras of all differential operators of several indeterminates . (Chinese) Northeastern Math. J. 6 : 365 – 368 .
  • Su , Y. ( 2002 ). 2-cocycles on the Lie algebras of generalized differential operators . Comm. Alg. 30 : 763 – 782 .
  • Su , Y. ( 2004 ). Low dimensional cohomology of general conformal algebras gc N . J. Math. Phys. 45 : 509 – 524 .
  • Su , Y. , Zhao , K. ( 2002 ). Second cohomology group of generalized Witt type Lie algebras and certain reperesentations . Comm. Alegrba 30 : 3285 – 3309 .
  • Unterberger , J. ( 2009 ). On vertex algebra representations of the Schrödinger–Virasoro Lie algebra . Nuclear Physics B 823 : 320 – 371 .
  • Communicated by K. Misra.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.