The use of geometric and quantum group techniques for wild quivers
نویسنده
چکیده
In recent years, the representation theory of quivers has enjoyed an enormous impact of new techniques both from algebraic geometry and from quantum group theory. Some examples of this are the realization of quantum groups in terms of the representation theory of quivers via C. M. Ringel’s Hall algebra approach [61, 22], G. Lusztig’s geometric interpretation of the Hall algebra approach [49, 50, 51] and H. Nakajima’s work on quiver varieties [55, 56].
منابع مشابه
Framed quiver moduli, cohomology, and quantum groups
Framed quiver moduli parametrize stable pairs consisting of a quiver representation and a map to a fixed graded vector space. Geometric properties and explicit realizations of framed quiver moduli for quivers without oriented cycles are derived, with emphasis on their cohomology. Their use for quantum group constructions is discussed.
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تاریخ انتشار 2003