PROJECTIVE AND CONFORMAL SCHWARZIAN DERIVATIVES AND COHOMOLOGY OF LIE ALGEBRAS VECTOR FIELDS RELATED TO DIFFERENTIAL OPERATORS
نویسندگان
چکیده
منابع مشابه
Differential Graded Cohomology and Lie Algebras of Holomorphic Vector Fields
The continuous cohomology of Lie algebras of C-vector fields has proven to be a subject of great geometrical interest: One of its most famous applications is the construction of the Virasoro algebra as the universal central extension of the Lie algebra of vector fields on the circle. So there is the natural problem of calculating the continuous cohomology of the Lie algebra of holomorphic vecto...
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(i) Tr(DiA) = 0 for any A ∈ A and any Di ∈ D (ii) [Di,Dj ] = ad(Qij) — inner derivation (Qij ∈ A) for any Di,Dj ∈ D (iii) Alt i,j,k Dk(Qij) = 0 for all i, j, k. The main example of such a situation is the Lie algebra ΨDifn(S 1) of the formal pseudodifferential operators on (S1)n (see [A]). The trace Tr in this example is the “noncommutative residue”, Tr(D) = the coefficient of the term x 1 · x ...
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• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version ...
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2006
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887806001338