The center of the quantized matrix algebra

DOI10.1006/jabr.1997.7121zbMath0886.17015OpenAlexW2013534658MaRDI QIDQ1372635

Hans Plesner Jakobsen, Zhang Hechun

Publication date: 4 May 1998

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

Full work available at URL: https://curis.ku.dk/portal/da/publications/the-center-of-the-quantized-matrix-algebra(ca47e530-6c38-11dc-bee9-02004c4f4f50).html

zbMATH Keywords

centerdegreeroot of unityquantum determinantquantized matrix algebrarestricted quantized Verma modules

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items

Double-partition quantum cluster algebras, Dual canonical bases for the quantum general linear supergroup, On the standard quantized matrix algebra Mq(n): From a constructive-computational viewpoint, Centers and automorphisms of PI quantum matrix algebras, PI degree parity in \(q\)-skew polynomial rings., The center of 𝒰_q (𝔫_ω), A class of quadratic matrix algebras arising from the quantized enveloping algebra Uq(A2n−1), Quantized matrix algebras and quantum seeds, Representations of Some PI Algebras, Quantized rank \(R\) matrices.

Cites Work

• Quantum deformations of certain simple modules over enveloping algebras
• Quantum function algebra at roots of 1
• Degrees of quantum function algebras at roots of 1
• Representations of quantum algebras
• Prime Factor Algebras of the Coordinate Ring of Quantum Matrices
• Quantum linear groups
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