Geometric Methods in Representation Theory Fock Space Representations Fock Space Representations of U Q ( Sl N )

نویسنده

  • Bernard Leclerc
چکیده

Articles-Karin BAUR: Cluster categories, m-cluster categories and diagonals in polygons-Ada BORALEVI: On simplicity and stability of tangent bundles of rational homogeneous varieties-Laurent EVAIN: Intersection theory on punctual Hilbert schemes-Daniel JUTEAU, Carl MAUTNER and Geordie WILLIAMSON: Perverse sheaves and modular representation theory-Manfred LEHN and Christoph SORGER: A symplectic resolution for the binary tetrahedral group-Ivan LOSEV: On the structure of the category O for W-algebras-Markus PERLING: Examples for exceptional sequences of invertible sheaves on rational surfaces-Olivier SERMAN: Orthogonal and symplectic bundles on curves and quiver representations-Dmitri SHMELKIN: Some remarks on Nakajima's quiver varieties of type A-Francesco VACCARINO: Moduli of representations, symmetric products and the non commutative Hilbert scheme

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

REPRESENTATIONS OF THE QUANTUM TOROIDAL ALGEBRA ON HIGHEST WEIGHT MODULES OF THE QUANTUM AFFINE ALGEBRA OF TYPE gl N

A representation of the quantum toroidal algebra of type sl N is de ned on every integrable irreducible highest weight module of the the quantum a ne algebra of type gl N : The q-version of the level-rank duality giving the reciprocal decomposition of the q-Fock space with respect to mutually commutative actions of U 0 q ( b gl N ) of level L and U 0 q ( b sl L ) of level N is described.

متن کامل

ep - t h / 02 02 12 1 v 1 1 9 Fe b 20 02 Hamiltonian Quantization of Chern - Simons theory with SL ( 2 , C )

We analyze the hamiltonian quantization of Chern-Simons theory associated to the real group SL(2, C) R , universal covering of the Lorentz group SO(3, 1). The algebra of observables is generated by finite dimensional spin networks drawn on a punctured topological surface. Our main result is a construction of a unitary representation of this algebra. For this purpose we use the formalism of comb...

متن کامل

Diagonal free field matrix correlators, global symmetries and giant gravitons

We obtain a basis of diagonal free field multi-matrix 2-point correlators in a theory with global symmetry group G. The operators fall into irreducible representations of G. This applies for gauge group U(N) at finite N . For composites made of n fundamental fields, this is expressed in terms of Clebsch-Gordan coefficients for the decomposition of the n-fold tensor products of the fundamental f...

متن کامل

The Hall algebra of a cyclic quiver and canonical bases of Fock spaces

where x ∈ Ŝk is minimal such that ν = λ.x satisfies νi < νi+1 for i = 1, 2 . . . k− 1 and νi− νk ≥ 1− k−n, and μ = λ.x y. This conjecture is proved by Kazhdan-Lusztig [KL] and Kashiwara-Tanisaki [KT]. The proof relies on an equivalence between the category of finite-dimensional Uǫ(slk)-modules and a category of negative-level representations of the affine algebra ŝlk which are integrable with r...

متن کامل

Canonical bases of higher-level q-deformed Fock spaces

We define canonical bases of the higher-level q-deformed Fock space modules of the affine Lie algebra sl n generalizing the result of Leclerc and Thibon for the case of level 1. We express the transition matrices between the canonical bases and the natural bases of the Fock spaces in terms of certain affine Kazhdan-Lusztig polynomials. Leclerc and Thibon defined, in [6], a canonical basis of th...

متن کامل

ذخیره 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 2009