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- W3152987674 abstract "In this paper, we study irreducible non-weight modules over the mirror Heisenberg-Virasoro algebra $${cal D}$$ , including Whittaker modules, $${cal U}left( {{mathbb{C}d_0}} right)$$ -free modules and their tensor products. More precisely, we give the necessary and sufficient conditions for the Whittaker modules to be irreducible. We determine all the $${cal D}$$ -module structures on $${cal U}left( {{mathbb{C}d_0}} right)$$ , and find the necessary and sufficient conditions for these modules to be irreducible. At last, we determine the necessary and sufficient conditions for the tensor products of Whittaker modules and $${cal U}left( {{mathbb{C}d_0}} right)$$ -free modules to be irreducible, and obtain that any two such tensor products are isomorphic if and only if the corresponding Whittaker modules and $${cal U}left( {{mathbb{C}d_0}} right)$$ -free modules are isomorphic. These lead to many new irreducible non-weight modules over $${cal D}$$ ." @default.
- W3152987674 created "2021-04-26" @default.
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- W3152987674 date "2022-04-11" @default.
- W3152987674 modified "2023-10-16" @default.
- W3152987674 title "Non-weight modules over the mirror Heisenberg-Virasoro algebra" @default.
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- W3152987674 doi "https://doi.org/10.1007/s11425-021-1939-5" @default.
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