The \(q\)-characters at roots of unity

DOI10.1006/aima.2002.2079zbMath1020.17009arXivmath/0101018OpenAlexW2063358850MaRDI QIDQ1865271

Evgenii E. Mukhin, Edward V. Frenkel'

Publication date: 26 March 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0101018

zbMATH Keywords

\(q\)-characterquantum affine algebraFrobenius homomorphism

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items

Algebraic approach to \(q,t\)-characters ⋮ The \(t\)-analogs of \(q\)-characters at roots of unity for quantum affine algebras and beyond ⋮ Representations of \(U_q(L\mathfrak{sl}_2)\) at roots of unity and generalised cluster algebras ⋮ Geometry of the analytic loop group ⋮ Invariants of Weyl group action and \(q\)-characters of quantum affine algebras ⋮ Cluster realization of Weyl groups and \(q\)-characters of quantum affine algebras ⋮ Periodicities of T-systems and Y-systems ⋮ Langlands duality for representations and quantum groups at a root of unity ⋮ Extremal loop weight modules for \(\mathcal {U}_q(\widehat{sl}_{\infty})\) ⋮ Affine quantum Schur algebras at roots of unity

Cites Work

• Quantum groups at roots of 1
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Integrable representations of affine Lie-algebras
• New unitary representations of loop groups
• Braid group action and quantum affine algebras
• The quantum Weyl group and the universal quantum \(R\)-matrix for affine Lie algebra \(A^{(1)}_ 1\)
• An algebraic characterization of the affine canonical basis
• Finite-dimensional representations of quantum affine algebras at roots of unity
• Introduction to quantum groups
• Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The \(q\)-characters at roots of unity