Quantized GIM algebras and their images in quantized Kac-Moody algebras

DOI10.1007/s10468-020-09960-2OpenAlexW3087074213MaRDI QIDQ2041920

Yun Gao, Hu, Naihong, Li-Meng Xia

Publication date: 26 July 2021

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-020-09960-2

zbMATH Keywords

Kac-Moody algebrasquantum algebrasLusztig symmetriesgeneralized intersection matricesinvolutory subalgebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Infinite-dimensional Lie (super)algebras (17B65)

Cites Work

• Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy
• Involutive Lie algebras graded by finite root systems and compact forms of IM algebras
• Lie algebras graded by finite root systems and intersection matrix algebras
• A class of Lie algebras arising from intersection matrices
• Drinfel'd-Jimbo coproduct of quantized GIM Lie algebras
• Realizations of \(BC_{r}\)-graded intersection matrix algebras with grading subalgebras of type \(B_{r}, r\geq 3\)
• Quantized GIM Lie algebras and their Lusztig symmetries
• Finite-dimensional Representations for a Class of Generalized Intersection Matrix Lie Algebras
• On generators and relations for certain involutory subalgebras of kac-moody lie algebras^∗
• On defining relations of certain infinite-dimensional Lie algebras
• Beyond Borcherds Lie algebras and inside
• Lie Algebras Graded by 3-Graded Root Systems and Jordan Pairs Covered by Grids
• Introduction to quantum groups
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