KOSTKA SYSTEMS AND EXOTIC t-STRUCTURES FOR REFLECTION GROUPS
نویسنده
چکیده
Let W be a complex reflection group, acting on a complex vector space h. Kato has recently introduced the notion of a “Kostka system,” which is a certain collection of finite-dimensional W -equivariant modules for the symmetric algebra on h. In this paper, we show that Kostka systems can be used to construct “exotic” t-structures on the derived category of finite-dimensional modules, and we prove a derived-equivalence result for these t-structures.
منابع مشابه
Low Dimensional Hamiltonian Systems
The theory of differential forms began with a discovery of Poincaré who found conservation laws of a new type for Hamiltonian systems—The Integral Invariants. Even in the absence of non-trivial integrals of motion, there exist invariant differential forms: a symplectic two-form, or a contact one-form for geodesic flows. Some invariant forms can be naturally considered as “forms on the quotient....
متن کاملDynamical Systems and Differential Forms . Low Dimensional Hamiltonian Systems
Theory of differential forms started from the discovery by H.Poincare' who found new type conservation laws for Hamiltonian systems-" The Integral Invariants ". Even if there are no nontrivial ordinary integrals of motion, there exist various invariant differential forms (f.e. symplectic 2-form is invariant for all hamiltonian systems and also one-form is invariant for geodesic flows). Restrict...
متن کاملSaturated fusion systems over 2-groups
We develop methods for listing, for a given 2-group S, all nonconstrained centerfree saturated fusion systems over S. These are the saturated fusion systems which could, potentially, include minimal examples of exotic fusion systems: fusion systems not arising from any finite group. To test our methods, we carry out this program over four concrete examples: two of order 2 and two of order 2. Ou...
متن کاملPseudo-markov Systems and Infinitely Generated Schottky Groups
In this paper we extend the theory of conformal graph directed Markov systems to what we call conformal pseudo-Markov systems. Unlike graph directed Markov systems, pseudo-Markov systems may have a countable infinite set of vertices as well as a countable infinite set of edges. After having developed appropriate symbolic dynamics for pseudo-Markov systems, we analyse these systems giving extens...
متن کاملReduced, Tame, and Exotic Fusion Systems
We define here two new classes of saturated fusion systems, reduced fusion systems and tame fusion systems. These are motivated by our attempts to better understand and search for exotic fusion systems: fusion systems which are not the fusion systems of any finite group. Our main theorems say that every saturated fusion system reduces to a reduced fusion system which is tame only if the origina...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013