SIGNED QUIVERS, SYMMETRIC QUIVERS AND ROOT SYSTEMS
نویسندگان
چکیده
منابع مشابه
Signed Quivers, Symmetric Quivers, and Root Systems.
We define a special sort of weighted oriented graphs, signed quivers. Each of these yields a symmetric quiver, i.e., a quiver endowed with an involutive anti-automorphism and the inherited signs. We develop a representation theory of symmetric quivers, in particular we describe the indecom-posable symmetric representations. Their dimensions constitute root systems corresponding to certain symme...
متن کاملQuivers of Finite Mutation Type and Skew-symmetric Matrices
Quivers of finite mutation type have been classified recently in [4]. Main examples of these quivers are the quivers associated with triangulations of surfaces as introduced in [5]. They are also closely related to the representation theory of algebras [1]. In this paper, we study structural properties of finite mutation type quivers. We determine a class of subquivers, which we call basic quiv...
متن کاملQuivers, Quotients, and Duality
We give a direct computational proof of N = 2 Seiberg duality for arbitrary quivers, and find the action on the Fayet-Iliopoulos parameters. We also find a new analogous classical duality for Kähler potentials of N = 1 quivers that generalizes the trivial duality Gr(N,N+M) ≃ Gr(M,N+M) for Grassmannians. [email protected] Roč[email protected]
متن کاملQuivers and Poisson Structures
We produce natural quadratic Poisson structures on moduli spaces of representations of quivers. In particular, we study a natural Poisson structure for the generalised Kronecker quiver with 3 arrows.
متن کاملQuantum algebras and quivers
Given a finite quiver Q without loops, we introduce a new class of quantum algebras D(Q) which are deformations of the enveloping algebra of a Lie algebra which is a central extension of sln(Π(Q)) where Π(Q) is the preprojective algebra of Q. When Q is an affine Dynkin quiver of type A, D or E, we can relate them to Γ-deformed double current algebras. We are able to construct functors between d...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2006
ISSN: 0024-6107,1469-7750
DOI: 10.1112/s0024610706022812