Quantized GIM Lie algebras and their Lusztig symmetries

DOI10.1016/j.jalgebra.2005.03.013zbMath1101.17011OpenAlexW2038941165WikidataQ115351651 ScholiaQ115351651MaRDI QIDQ2488330

Youjun Tan

Publication date: 25 August 2005

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.03.013

zbMATH Keywords

quantized enveloping algebrabraid group relationsalgebra automorphismGeneralized intersection matrix Lie algebraLusztig symmetryquantized toroidal Lie algebratoroidal Weyl group

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (5)

Drinfel'd-Jimbo coproduct of quantized GIM Lie algebras ⋮ Quantum symmetric Kac-Moody pairs ⋮ ON QUANTIZED GENERALIZED INTERSECTION MATRIX ALGEBRAS ASSOCIATED TO 2-FOLD AFFINIZATION OF CARTAN MATRICES ⋮ LUSZTIG SYMMETRIES AND AUTOMORPHISMS OF QUANTUM SUPERALGEBRAS U_q(osp(1|2r)) ⋮ Quantized GIM algebras and their images in quantized Kac-Moody algebras

Cites Work

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• Schur duality in the toroidal setting
• Toroidal Lie algebras and vertex representations
• Extended affine root systems. I: Coxeter transformations
• Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy
• Toroidal braid group action and an automorphism of toroidal algebra \(U_q(sl_{n+1,\text{tor}})\) \((n\geqq 2)\)
• Braid group action and quantum affine algebras
• Langlands reciprocity for algebraic surfaces
• Introduction to quantum groups

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