Quantum grothendieck rings

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August undefined, 2024

WebThis article is published in Communications in Algebra.The article was published on 1979-01-01. It has received 12 citation(s) till now. The article focuses on the topic(s): Semiprime. WebWe prove a conjecture made by Brundan and Kleshchev on the nilpotency degree of cyclotomic quotients of rings that categorify one-half of quantum sl(k). ... Grothendieck's K_0, connective K ...

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WebFor any simply-laced type simple Lie algebra g and any height function ξ adapted to an orientation Q of the Dynkin diagram of g, Hernandez–Leclerc introduced a certain … WebWe answer three related questions concerning the Haagerup subfactor and its even parts, the Haagerup fusion categories. Namely we find all simple module categories over each of the Haagerup fusion categories (in other words, we find the “quantum subgroups” in the sense of Ocneanu), we find all subfactors whose principal even part is one of the … java spring是什么

Perverse sheaves and quantum Grothendieck rings

WebApr 1, 2024 · As a consequence, we solve long-standing problems: the positivity of the analogs of Kazhdan–Lusztig polynomials and the positivity of the structure constants of … WebFrenkel–Reshetikhin's conjecture stated that for more general quantum integrable systems, constructed via finite-dimensional representations of the quantum affine algebra U q (g ̂) … WebUsing the trace methodology, we compute the genus appearing in the story for supersymmetric quantum mechanics. This involves investigating supertraces on Weyl-Clifford algebras and deformations of symplectic ... The Grothendieck ring of varieties is defined to be the free abelian group generated by varieties, modulo the relation that for ... java spring 入門本

Grothendieck says: points are not mere points, but carry Galois …

Quantum grothendieck rings

A quantum cluster algebra approach to representations of simply …

WebThe purpose of this paper is to build a new bridge between category theory and a generalized probability theory known as noncommutative probability or quantum … WebAug 3, 2010 · Let kG be a group algebra, and D(kG) its quantum double. We first prove that the structure of the Grothendieck ring of D(kG) can be induced from the Grothendieck …

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WebQuantum Grothendieck ring isomorphisms for quantum affine algebras of type A and B, Séminaire Groupes, Représentations et Géométrie, Bâtiment Sophie Germain, March … WebAs an application, we prove that the quantum Grothendieck ring of a larger category of representations of the Borel subalgebra of the quantum affine algebra, defined in a …

WebNot sure which is being referred to, but you can see this aspect of points without having any rings around. Question: "I'm trying to slowly digest the last paragraph. As a novice in algebraic geometry I'm always looking for geometric and "philosophical" intuition, so I very much want to understand why Grothendieck was insistent on points having Galois group … WebFeb 1, 2024 · Abstract: We define and construct a quantum Grothendieck ring for a certain monoidal subcategory of the category $\mathcal{O}$ of representations of the quantum …

WebJul 27, 2024 · Abstract We define and construct a quantum Grothendieck ring for a certain monoidal subcategory of the category O of representations of the quantum loop algebra ... WebTo each graph without loops and multiple edges we assign a family of rings. Categories of projective modules over these rings categorify , where is the Kac-Moody Lie algebra …

WebThe i-quantum groups Uȷ(n) and Uı(n) (Slides) Ryo Fujita Kyoto University, Japan Isomorphisms among quantum Grothendieck rings and their applications Christof Geiss …

WebGreen rings of Drinfeld doubles of Taft algebras java spring框架WebApr 1, 2015 · Let 𝔤 = 𝔫 ⊕ 𝔥 ⊕ 𝔫 - be a simple Lie algebra over ℂ of type A , D , E , and let U q ( L 𝔤) be the associated quantum loop algebra. Following Nakajima [Ann. of Math. (2) 160 … java spring框架入门WebFeb 1, 2024 · We define and construct a quantum Grothendieck ring for a certain monoidal subcategory of the category $\mathcal{O}$ of representations of the quantum loop … java spring框架学习WebWe deﬁne and construct a quantum Grothendieck ring for a certain monoidal subcategory of the category O of representations of the quantum loop algebra introduced by … java spring框架是什么WebJingcheng Dong, Huixiang Chen, The representations of quantum double of dihedral groups, Algebra Colloquium, 20(1): 95-108, 2013. 5. ... Jingcheng Dong，Grothendieck ring of quantum double of finite groups. Czechoslovak Mathematical Journal, 60(135): 869 … java spring框架学习心得WebQuantum Grothendieck ring isomorphisms for quantum a ne algebras of type A and B Hironori OYA Universit e Paris Diderot, IMJ-PRG Based on a joint work with David … java spring 環境構築 macWebfinite-dimensional algebras and the study of group cohomology and rings of invariants. A major part of this book is devoted to a survey of algorithms for computing special examples in the study of Grothendieck groups, quadratic forms and derived categories of finite-dimensional algebras. Open questions on Lie java spring框架是干嘛的