Cluster algebra structure on the finite dimensional representations of affine quantum group
نویسندگان
چکیده
منابع مشابه
Langlands Duality for Finite-dimensional Representations of Quantum Affine Algebras
We describe a correspondence (or duality) between the q-characters of finite-dimensional representations of a quantum affine algebra and its Langlands dual in the spirit of [6, 4]. We prove this duality for the Kirillov–Reshetikhin modules. In the course of the proof we introduce and construct “interpolating (q, t)-characters” depending on two parameters which interpolate between the q-characte...
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نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولREPRESENTATIONS 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.
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ژورنال
عنوان ژورنال: Chinese Physics B
سال: 2015
ISSN: 1674-1056
DOI: 10.1088/1674-1056/24/1/010201