2024 Drinfeld double of gln

Drinfeld double of gln

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August undefined, 2024

WebFeb 21, 2024 · Generalized cluster algebra structures have since been discovered in the representation theory of quantum affine algebras [27,28], the representation theory of quantum loop algebras [29], the ... WebThe quantum loop algebra of gln is the affine analogue of quantum gln. In the seminal work [1], Beilinson–Lusztig–MacPherson gave a beautiful realisation for quantum gln via a …

Generalized cluster structure on the Drinfeld double of $GL_n$

Webport for the Drinfeld center Z(rep(G)) of the representation category for G, or equivalently for the representation category of the Drinfeld double of kG. We show that thick ideals in the corresponding stable category are classi ed by cohomological support, and calculate the Balmer spec-trum of the stable category of Z(rep(G)). WebAn important property of the Drinfeld double structure is that the cocommutator (1.5) can be derived from the classical r-matrix P p z p ⊗Z p, or from its skew-symmetric form r = 1 2 X p zp ∧Z ... charging my phone on computer

Generalized Cluster Structures Related to the Drinfeld Double of

WebFeb 21, 2024 · We prove that the regular generalized cluster structure on the Drinfeld double of G L n $GL_n$ constructed in Gekhtman, Shapiro, and Vainshtein (Int. Math. … WebConvolutionThe Drinfeld double (I)The RTT equation Convolution Let H be a ﬁnite-dimensional Hopf algebra. Let End(H) be the vector space of all linear transformations of … WebContents Introduction vii 1 Poisson algebras and quantization 1 1.1 Modules over rings of power series . . . . . . . . . . . . . . . . . 1 1.1.1 Topologically free K ... harrods clutch bags

Classical Lie algebras and Drinfeld doubles …

WebMay 18, 2016 · cluster structure on the Drinfeld double, while Theorem 3.8 deals with the gener- alized cluster structure on GL n compatible with the push-forward of the bra cket … WebNov 28, 2024 · We construct a generalized cluster structure compatible with the Poisson bracket on the Drinfeld double of the standard Poisson–Lie group G L n and derive from … harrods code of conducthttp://www.numdam.org/articles/10.1016/j.crma.2016.01.006/ charging nebo flashlight

"WebMay 14, 2000 · Quantum determinantal ideals. Ken R. Goodearl, T. H. Lenagan. 14 May 2000 - Duke Mathematical Journal (Duke University Press) - Vol. 103, Iss: 1, pp 165-190. TL;DR: In this article, the authors studied the primitive and prime ideal spectra of the quantized coordinate ring of n×n matrices over k, denoted by q (Mn (k)), which is a … " - Drinfeld double of gln

Drinfeld double of gln

(PDF) The Drinfeld double gl(n) ⊕ tn - ResearchGate

WebDec 6, 2024 · The Drinfel’d double- or quantum double-construction a sends a Hopf algebrato a quasi-triangular Hopf algebra[Drinfeld (1987)]; or more … WebAbstract. We prove a uniqueness theorem for irreducible non-critical Gelfand–Tsetlin modules. The uniqueness result leads to a complete classification of the irreducible Gelfand–Tsetlin modules with $1$ -singularity.An explicit construction of such modules was given in Futorny et al. [].In particular, we show that the modules constructed in Futorny et …

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WebAbstract On construit des structures d'algèbres amassées généralisées compatibles avec le crochet de Poisson sur le double de Drinfeld du group GL n muni de sa structure de … WebWe produce a large class of generalized cluster structures on the Drinfeld double of $\text{GL}_n$ that are compatible with Poisson brackets given by Belavin-Drinfeld …

WebFeb 21, 2024 · Generalized cluster structures related to the Drinfeld double of GLn$GL_n Request PDF Generalized cluster structures related to the Drinfeld double of … Weba twisted Drinfeld double ΰ(Α,Β,σ;φ,ψ) which is a Turaev S(T7")-coalgebra, where the group 8(ττ) is a twisted semi-direct square of π. Moreover, when A or β is finite-dimensional, we ... This approach allows us to produce new examples of Turaev ΤΓ-coalgebras for many infinite groups π such as GLn(k) and (C*)f withi > 1. 1. Introduction

WebThere are currently no full texts shared for your IP range. Fulltext (public) arXiv:1507.00452.pdf (Preprint), 159KB WebJul 5, 2006 · The Drinfeld double structure underlying the Cartan series An, Bn, Cn, Dn of simple Lie algebras is discussed. This structure is determined by two disjoint solvable …

WebPublisher's Accepted Manuscript: Drinfeld double of GLn and generalized cluster structures: DRINFELD DOUBLE OF GLn AND GENERALIZED CLUSTER … charging near meWebbras/superalgebras all admit a Drinfeld double construction. This paper is organized as follows. In Section 2, we provide the deforma-tion fβ of Lusztig algebra f in [L10, Chapter 1] and show that fβ is isomorphic to the ordinary quantum algebra up to a twist. In Section 3, we construct the Drinfeld double, Uβ,ξ, of the algebra fβ as a ... charging necessaryWebJan 1, 2024 · The covalent complexes were analyzed by collision-induced dissociation tandem mass spectrometry (CID-MS 3 ), providing distributions of cross-links at the … harrods cross body bagWebAn elementary construction of monomial bases of modified quantum affine gln. Journal of the London Mathematical Society, Vol. 96, Issue. 1, p. 15. CrossRef; Google Scholar; ... J., Xiao, Drinfeld double and Ringel–Green theory of Hall algebras, J. Algebra 190 (1997), 100–144. [79] D., Yang, On the affine Schur algebra of type A, Commun ... harrods creek cemetery kentuckyWebSearch 206,140,211 papers from all fields of science. Search harrods creek road paris kyWebMay 19, 2016 · A while ago I was doing a reading course on Link Invariants and I came across the notion of a Drinfeld Double: given a Hopf algebra, H, the Drinfeld Double, D(H), was a quasi-triangular Hopf algebra. Recently I was reading some physics papers and I again came across the notion of a Drinfeld Double, but I'm not sure about the relation … harrods code free deliveryWebApr 8, 2024 · If research isn't accessible, can we really call it "Open" Science? In response to the high interest in this event we have expanded our online hosting capacity and re … harrods dugouts