The prime spectrum of the algebra \(\mathbb{K}_q[X,Y] \rtimes U_q(\mathfrak{sl}_2)\) and a classification of simple weight modules

DOI10.4171/JNCG/294zbMath1408.17003MaRDI QIDQ1711402

Vladimir V. Bavula, Tao Lü

Publication date: 17 January 2019

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

zbMATH Keywords

centralizerprime idealsimple moduleweight moduleprimitive ideal

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) 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) Localization and associative Noetherian rings (16P50)

Related Items (3)

Simple modules over Kq[X,Y⋊Uq≥0(sl2) and Kq[X,Y]⋊Uq(sl2) at root of unity] ⋮ On representations of the centrally extended Heisenberg double of SL2 ⋮ BGG CATEGORY FOR THE QUANTUM SCHRÖDINGER ALGEBRA

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