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Drinfeld double of gln

Web7Γ G Disc(GLn(F))), we denote the character of ρ (resp. π) by θρ (resp. θπ). Here θ ρ is a locally constant function on Dx, and θπ is a locally integrable function on GLn(F) which is locally constant on GLn(F)reg, the set of regular elements of GLn(F). The precise statement of the local Jacquet-Langlands correspondence is the following: WebSemantic Scholar extracted view of "Generalized cluster structure on the Drinfeld double of $GL_n$" by M. Gekhtman et al.

arXiv:1911.01011v1 [math.QA] 4 Nov 2024

WebGENERALIZED CLUSTER STRUCTURE ON THE DRINFELD DOUBLE OF GL n 3 Note that gcd{bij: 1 ≤ j≤ n} = gcd{b′ ij: 1 ≤ j≤ n}, and for its arbitrary factor d, bij = b′ ij mod dfor … 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 … blue mountain cabin cherokee nc https://qbclasses.com

Lecture 11 - Stanford University

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 … http://sporadic.stanford.edu/quantum/lecture11.pdf http://www.numdam.org/articles/10.1016/j.crma.2016.01.006/ blue mountain cabin rentals

SUPPORT THEORY FOR DRINFELD DOUBLES OF SOME …

Category:SUPPORT THEORY FOR DRINFELD DOUBLES OF SOME …

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Drinfeld double of gln

Generalized cluster structure on the Drinfeld double of GLn ...

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 … WebApr 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 …

Drinfeld double of gln

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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 ... 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 ...

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 … WebJan 1, 2024 · The covalent complexes were analyzed by collision-induced dissociation tandem mass spectrometry (CID-MS 3 ), providing distributions of cross-links at the …

WebAn 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 ... WebPublisher's Accepted Manuscript: Drinfeld double of GLn and generalized cluster structures: DRINFELD DOUBLE OF GLn AND GENERALIZED CLUSTER …

WebDec 12, 2005 · The two isomorphic Borel subalgebras of gl (n), realized on upper and lower triangular matrices, allow us to consider the gl (n) \opus t_n algebra as a self-dual …

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 … blue mountain canada weather forecastWebIn this paper, we describe such a generalized cluster structure on the Drinfeld double in the case of the standard Poisson-Lie group GLn. Using this structure, one can recover the … blue mountain canada pharmacyWebFeb 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. … clear incoming payments sap tcodeWebAbstract 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 … clear incise drapeWebMay 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 … clear in cmd promptWeba 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 bluemountain.caWebJul 2, 2015 · We prove that the regular generalized cluster structure on the Drinfeld double of $GL_n$ constructed in arXiv:1912.00453 is complete and compatible with the … clear in css