Global Deformations of the Witt Algebra of Krichever-novikov Type

@inproceedings{Schlichenmaier2008GlobalDO,
  title={Global Deformations of the Witt Algebra of Krichever-novikov Type},
  author={Martin Schlichenmaier},
  year={2008}
}
By considering non-trivial global deformations of the Witt (and the Virasoro) algebra given by geometric constructions it is shown that, despite their infinitesimal and formal rigidity, they are globally not rigid. This shows the need of a clear indication of the type of deformations considered. The families appearing are constructed as families of algebras of Krichever-Novikov type. They show up in a natural way in the global operator approach to the quantization of two-dimensional conformal… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 30 references

On the continuous cohomology of the Lie algebra of vector fields

T. Tsujishita
Proc. Japan Acad. 53, • 1977
View 7 Excerpts
Highly Influenced

Cohomology of Lie algebras of formal vector fields on the line

I. V. Goncharova
Funct. Anal. Appl. 7, • 1973
View 5 Excerpts
Highly Influenced

Verallgemeinerte Krichever - Novikov Algebren und deren Darstellungen

M. Schlichenmaier
University of Mannheim, • 1990
View 4 Excerpts
Highly Influenced

Cohomologies of Lie Groups and Lie Algebras. In: Onishchik, A.L., and Vinberg, E.B. (eds) Lie groups and Lie algebras II

B. L. Feigin, D. B. Fuchs
Encyclopaedia of Math. Sciences, • 2000
View 1 Excerpt

Formal and analytic rigidity of the Witt algebra

L. Guerrini
Rev. Math. Phys. 11, • 1999
View 1 Excerpt

Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras, I

M. Schlichenmaier, O. K. Sheinman
Russian Math. Surv. (Uspeki Math. Naukii) • 1999
View 1 Excerpt

Formal and analytic deformations of the Witt algebra

L. Guerrini
Lett. Math. Phys • 1998
View 1 Excerpt