Dipper Donkin quantized matrix algebra and reflection equation algebra at root of unity

DOI10.1007/s10468-023-10235-9arXiv2206.09580OpenAlexW4387501254MaRDI QIDQ6151738

Unnamed Author, Snehashis Mukherjee

Publication date: 11 March 2024

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

Full work available at URL: https://arxiv.org/abs/2206.09580

zbMATH Keywords

simple modulesquantized matrix algebraspolynomial identity algebra

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Ring-theoretic aspects of quantum groups (16T20)

Cites Work

• Unnamed Item
• A two-parameter quantization of GL(n)
• Factorizing particles on a half-line and root systems
• The center of the Dipper Donkin quantized matrix algebra
• Lectures on algebraic quantum groups
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• ON q-SKEW ITERATED ORE EXTENSIONS SATISFYING A POLYNOMIAL IDENTITY
• Quantum GL_n
• Quantized trace rings
• Algebraic structures related to reflection equations
• Quantum and braided linear algebra
• The prime spectrum and representation theory of the 2 × 2 reflection equation algebra