Quantum Weyl symmetric polynomials and the center of quantum group \(U_q(\mathfrak{sl}_4)\)

DOI10.1007/s11425-010-4125-1zbMath1278.17021OpenAlexW2065992863MaRDI QIDQ547333

Junchao Wei, Jingyan Wu, Li Bin Li

Publication date: 1 July 2011

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

Full work available at URL: https://doi.org/10.1007/s11425-010-4125-1

zbMATH Keywords

quantum groupcenterquantized enveloping algebraquantum symmetric polynomials

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

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Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Some remarks on the center of the universal enveloping algebra of a classical simple Lie algebra
• On the center of quantized enveloping algebras
• On the \(q\)-commutations in \(U_q({\mathfrak n})\) at roots of one
• On the field of fractions of certain quantum algebras
• On harmonic elements for semi-simple Lie algebras
• On the center of the small quantum group.
• Introduction to Lie Algebras and Representation Theory
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