Simple modules over Kq[X,Y]⋊Uq≥0(sl2) and Kq[X,Y]⋊Uq(sl2) at root of unity

DOI10.1080/00927872.2022.2150201OpenAlexW4311620359MaRDI QIDQ5887585

Unnamed Author, Snehashis Mukherjee

Publication date: 13 April 2023

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2150201

zbMATH Keywords

simple modulequantum algebratorsion modulepolynomial identity algebraquantum spatial ageing algebra

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Ring-theoretic aspects of quantum groups (16T20) Associative rings of fractions and localizations (16S85)

Cites Work

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• The prime spectrum and simple modules over the quantum spatial ageing algebra
• The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
• The simple modules of certain generalized crossed products
• Lectures on algebraic quantum groups
• The prime spectrum of the algebra \(\mathbb{K}_q[X,Y \rtimes U_q(\mathfrak{sl}_2)\) and a classification of simple weight modules]
• Simple holonomic modules over the second Weyl algebra \(A_2\)
• Classification of simple weight modules over the 1-spatial ageing algebra
• Simple ambiskew polynomial rings.
• ON q-SKEW ITERATED ORE EXTENSIONS SATISFYING A POLYNOMIAL IDENTITY
• The simple modules of the ore extensions with coefficients from a dedekind ring
• Torsion simple modules over the quantum spatial ageing algebra

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