N
Nicolai Reshetikhin
Researcher at University of California, Berkeley
Publications - 104
Citations - 5623
Nicolai Reshetikhin is an academic researcher from University of California, Berkeley. The author has contributed to research in topics: Symplectic geometry & Boundary (topology). The author has an hindex of 30, co-authored 104 publications receiving 5182 citations. Previous affiliations of Nicolai Reshetikhin include Saint Petersburg State University of Information Technologies, Mechanics and Optics & University of California.
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Invariants of 3-manifolds via link polynomials and quantum groups
TL;DR: In this paper, the authors construct topological invariants of compact oriented 3-manifolds and of framed links in such manifolds, where the terms of the sequence are equale to the values of the Jones polynomial of the link in the corresponding roots of 1.
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Multiparameter quantum groups and twisted quasitriangular Hopf algebras
TL;DR: On montre comment on peut obtenir des groupes quantiques multiparametres a partir des algebres de Hopf torsadees.
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The q-characters of representations of quantum affine algebras and deformations of W-algebras
TL;DR: In this paper, the notion of q-characters for finite-dimensional representations of quantum affine algebras is introduced and shown to give rise to a homomorphism from the Grothendieck ring of representations of a quantum algebra to a polynomial ring.
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$q$-Weyl group and a multiplicative formula for universal $R$-matrices
TL;DR: In this article, the q-version of the Weyl group for quantized universal enveloping algebras of simple Lie groups is defined and explicit multiplicative formulas for the universal R-matrix are given.
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Hidden quantum group symmetry and integrable perturbations of conformal field theories
Nicolai Reshetikhin,F. Smirnov +1 more
TL;DR: The hidden quantum group symmetry in the quantum Sine-Gordon model is found in this paper, which provides the possibility to restrict the operator algebra of the model to subalgebras.