Quantized GIM algebras and their images in quantized Kac-Moody algebras
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Publication:2041920
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
Kac-Moody algebrasquantum algebrasLusztig symmetriesgeneralized intersection matricesinvolutory subalgebras
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
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- 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
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