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Volodymyr V. Lyubashenko 《Communications in Mathematical Physics》1995,172(3):467-516
An example of a finite dimensional factorizable ribbon Hopf -algebra is given by a quotientH=u
q
(g) of the quantized universal enveloping algebraU
q
(g) at a root of unityq of odd degree. The mapping class groupM
g,1
of a surface of genusg with one hole projectively acts by automorphisms in theH-moduleH
*g
, ifH
* is endowed with the coadjointH-module structure. There exists a projective representation of the mapping class groupM
g,n
of a surface of genusg withn holes labeled by finite dimensionalH-modulesX
1, ...,X
n
in the vector space Hom
H
(X
1 ... X
n
,H
*g
). An invariant of closed oriented 3-manifolds is constructed. Modifications of these constructions for a class of ribbon Hopf algebras satisfying weaker conditions than factorizability (including most ofu
q
(g) at roots of unityq of even degree) are described.This work was supported in part by the EPSRC research grant GR/G 42976. 相似文献
2.
Ukrainian Mathematical Journal - We prove a Hinich-type theorem on the existence of a model structure on a category related by adjunction to the category of differential graded modules over a... 相似文献
3.
Volodymyr Lyubashenko 《Applied Categorical Structures》2002,10(4):331-381
We discuss an example of a triangulated Hopf category related to SL(2). It is an equivariant derived category equipped with multiplication and comultiplication functors and structure isomorphisms. We prove some coherence equations for structure isomorphisms. In particular, the Hopf category is monoidal. 相似文献
4.
Under certain assumptions, we prove that the Deligne tensor product of the categories of constructible perverse sheaves on pseudomanifolds X and Y is the category of constructible perverse sheaves on X×Y. The functor of the exterior Deligne tensor product is identified with the exterior geometric tensor product. 相似文献
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