Minimal affinization of type e
Web1 dec. 2024 · For a quantum affine algebra of type A, we describe the composition series of the tensor product of a general minimal affinization with a Kirillov-Resehtikhin module associated to an extreme... Web4 okt. 1994 · If Uq (g) is a finite-dimensional complex simple Lie algebra, an affinization of a finite-dimensional irreducible representation V of Uq (g) is a finite-dimensional irreducible representation V of Uq (g) which contains V with multiplicity one, and is such that all other Uq (g) -types in V have highest weights strictly smaller than that of V. We define a …
Minimal affinization of type e
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Web"affinity,antibody" 中文翻译 : 《英文msh词典》Affinity,Antibody ; [同义词] Affinity,Antibody ; [主题词] Antibody Affinity ; [中文释义] 亲和力,抗体 ; [英文释义] A measure of the binding strength between antibody and a simple hapten or antigen determinant. Web22 sep. 2010 · Minimal affinizations as projective objects Vyjayanthi Chari, Jacob Greenstein We prove that the specialization to q=1 of a Kirillov-Reshetikhin module for an untwisted quantum affine algebra of classical type is projective in a suitable category. This yields a uniform character formula for the Kirillov-Reshetikhin modules.
Web15 nov. 2024 · For a quantum affine algebra of type A, we describe the composition series of the tensor product of a general minimal affinization with a Kirillov-Reshetikhin … WebIn this paper, for minimal affinizations of type G2, we describe a cluster algebra algorithm to compute their q -characters and prove the geometric q -character formula conjectured by …
Web9 mrt. 2016 · The aim of this paper is to study the graded limits of minimal affinizations over the quantum loop algebra of type G 2. We show that the graded limits are isomorphic to multiple generalizations of Demazure modules, and obtain defining relations of them. As an application, we obtain a polyhedral multiplicity formula for the decomposition of ... Web21 jul. 2006 · For minimal affinizations of type A, B we prove the thin property (the l-weight spaces are of dimension 1) and a conjecture of Nakai-Nakanishi (already …
WebMINIMAL AFFINIZATIONS 879 Let U±(resp. [7°) be the subalgebra of U q(g) generated by the xf,r(resp. by the 0,>) for all i^I, r
Webwe look for the minimal one(s). In earlier papers, we showed that (i) if g is of type A, B, G', F or G, the minimal affinization is unique up to Uq(g)-isomorphism; (ii) if g is of type D or … mcfadden \u0026 whitehead albumsWeb1 mrt. 2024 · Download PDF Abstract: We define the double quantum affinization $\ddot{\mathrm{U}}_q(\mathfrak a_1)$ of type $\mathfrak{a}_1$ as a topological Hopf algebra. We prove that it admits a subalgebra $\ddot{\mathrm{U}}_q'(\mathfrak a_1)$ whose completion is (bicontinuously) isomorphic to the completion of the quantum toroidal … liability lawyers stuart floridaWeb12 apr. 2012 · Affinization of category O for quantum groups. Let g be a simple Lie algebra. We consider the category O-hat of those modules over the affine quantum group Uq (g … mcfadden \u0026 whitehead wikiWebminimal affinization. In 3 , it was shown that, ifwx g is of type C or G, 22 there is again a unique minimal affinization, and we describe it precisely in terms of the highest weight … liability leg crush jackWeb26 jul. 2016 · For a quantum affine algebra of type A, we describe the composition series of the tensor product of a general minimal affinization with a Kirillov-Resehtikhin module associated to an extreme node of the Dynkin diagram of the underlying simple Lie algebra. Submission history From: Adriano Adrega de Moura [ view email ] liability lawyers in scWebIf U q (g) is a finite-dimensional complex simple Lie algebra, an affinization of a finite-dimensional irreducible representationV of U q (g) is a finite-dimensional irreducible … mcfadden \\u0026 whitehead albumsWeb12 apr. 2012 · Although this property is not satisfied in general, we also prove an analog property for a large class of minimal affinization in types C, D, F. As an application, the … liability ledger