On the centers of quantum groups of \(A_n\)-type

DOI10.1007/s11425-017-9119-0zbMath1417.17018OpenAlexW2756073213MaRDI QIDQ1705737

Yinhuo Zhang, Li-Meng Xia, Li Bin Li

Publication date: 16 March 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-017-9119-0

zbMATH Keywords

quantum groupcenterCasimir elementtype \(A_n\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of finite symmetric groups (20C30) Universal enveloping (super)algebras (17B35) Representations of associative Artinian rings (16G10)

Related Items

Quantum supergroup Ur,s(osp(1,2)), Scasimir operators and Dickson polynomials ⋮ Explicit central elements of \(U_q(\mathfrak{gl}(N+1))\) ⋮ Classification on irreducible Whittaker modules over quantum group \(U_q(\mathfrak{sl}_3,\Lambda)\) ⋮ Preface

Cites Work

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• Polynomial relations in the centre of \({\mathcal U}_ q(\text{sl}(N))\)
• Quantum Weyl Polynomials and the Center of the Quantum Group U_q(𝔰𝔩₃)
• Introduction to Lie Algebras and Representation Theory

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