t-Analogs of q-Characters of Quantum Affine Algebras of Type E6, E7, E8

DOI10.1007/978-0-8176-4697-4_10zbMath1259.17015arXivmath/0606637OpenAlexW1921849149MaRDI QIDQ3015535

Hiraku Nakajima

Publication date: 13 July 2011

Published in: Representation Theory of Algebraic Groups and Quantum Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606637

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of quivers and partially ordered sets (16G20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

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Cites Work

• Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras
• Crystal bases for quantum classical algebras and Nakajima's monomials
• Spectra of tensor products of finite dimensional representations of Yangians
• Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras
• The Kirillov-Reshetikhin conjecture and solutions of T-systems
• Level 0 Monomial Crystals
• Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras.
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