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- W2963452054 abstract "The theory of generalized Weyl algebras is used to study the $2times 2$ reflection equation algebra $mathcal{A}=mathcal{A}_q(operatorname{M}_2)$ in the case that $q$ is not a root of unity, where the $R$-matrix used to define $mathcal{A}$ is the standard one of type $A$. Simple finite dimensional $mathcal{A}$-modules are classified, finite dimensional weight modules are shown to be semisimple, $operatorname{Aut}(mathcal{A})$ is computed, and the prime spectrum of $mathcal{A}$ is computed along with its Zariski topology. Finally, it is shown that $mathcal{A}$ satisfies the Dixmier-Moeglin equivalence." @default.
- W2963452054 created "2019-07-30" @default.
- W2963452054 creator A5043056291 @default.
- W2963452054 date "2019-01-17" @default.
- W2963452054 modified "2023-10-17" @default.
- W2963452054 title "The prime spectrum and representation theory of the 2 × 2 reflection equation algebra" @default.
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- W2963452054 doi "https://doi.org/10.1080/00927872.2018.1501573" @default.
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