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Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras (Q3296297)

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Language	Label	Description	Also known as
English	Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras	scientific article

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scholarly article

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Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras (English)

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Michael Finkelberg

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Aleksander Tsymbaliuk

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Representations and Nilpotent Orbits of Lie Algebraic Systems

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publication date

7 July 2020

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full work available at URL

https://arxiv.org/abs/1708.01795

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MaRDI profile type

MaRDI publication profile

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Lie group valued moment maps

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Coherent sheaves on \({\mathbb{P}}^n\) and problems of linear algebra

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Vortices and vermas

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Finite difference quantum Toda lattice via equivariant \(K\)-theory

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A finite analog of the AGT relation. I: Finite \(W\)-algebras and quasimaps' spaces

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Equivariant homology and K-theory of affine Grassmannians and Toda lattices

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Towards a mathematical definition of Coulomb branches of 3-dimensional \(\mathcal{N} = 4\) gauge theories. II.

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Biorthogonal Laurent polynomials, toplitz determinants, minimal Toda orbits and isomonodromic tau functions

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Shifted Yangians and finite \(W\)-algebras

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Rogers-Ramanujan type identities and nil-DAHA

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Periodic monopoles with singularities and \({\mathcal N}=2\) super-QCD

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Cluster theory of the coherent Satake category

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Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)

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Quantum Q systems: from cluster algebras to quantum current algebras

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Elementary Toda orbits and integrable lattices

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Correction to: ``Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian''

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Yangians and cohomology rings of Laumon spaces

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Comultiplication for shifted Yangians and quantum open Toda lattice

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Towards a cluster structure on trigonometric zastava

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A note on quantum groups and relativistic Toda theory

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Gelfand-Tsetlin bases for representations of finite W-algebras and shifted Yangians

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Shifted quantum affine algebras: integral forms in type \(A\)

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On a class of representations of the Yangian and moduli space of monopoles

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Representations of twisted \(q\)-Yangians

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Coproduct for Yangians of affine Kac-Moody algebras

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Generalized Bäcklund-Darboux transformations for Coxeter-Toda flows from a cluster algebra perspective

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On Sevostyanov’s Construction of Quantum Difference Toda Lattices

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Representations of quantum affinizations and fusion product

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Factorization dynamics and Coxeter-Toda lattices

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A generalization of Steinberg’s cross section

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A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation

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Quantum relativistic Toda chains

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Highest weights for truncated shifted Yangians and product monomial crystals

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Yangians and quantizations of slices in the affine Grassmannian

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Un analogue global du cône nilpotent. (A global analogue of the nilpotent cone)

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On generators and defining relations of Yangians

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HOPF ALGEBROIDS AND QUANTUM GROUPOIDS

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Coxeter orbits and eigenspaces of Frobenius

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Introduction to quantum groups

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The minimal degeneration singularities in the affine Grassmannians

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Shuffle algebras associated to surfaces

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Yangians and Gelfand-Zetlin bases

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Twisted loop groups and their affine flag varieties. With an appendix by T. Haines and M. Rapoport.

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Quantum deformation of Whittaker modules and the Toda lattice.

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Conjugacy classes in Weyl groups and q-W algebras

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Regular elements of semisimple algebraic groups

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Drinfeld-Sokolov reduction for difference operators and deformations of \(W\)-algebras. II: The general semisimple case

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Quantum affine Gelfand-Tsetlin bases and quantum toroidal algebra via \(K\)-theory of affine Laumon spaces

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The affine Yangian of \(\mathfrak{gl}_1\) revisited

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Double Affine Hecke Algebras and Affine Flag Manifolds, I

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Double affine Hecke algebras at roots of unity

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-23531-4_6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3296297

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