English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In the present paper, a class of non-weight modules over the super-BMS$_3$algebras $\S^{\epsilon}$ ($\epsilon=0$ or $\frac{1}{2}$) are constructed.Assume that $\mathfrak{t}=\C L_0\oplus\C W_0\oplus\C G_0$ and $\mathfrak{T}=\CL_0\oplus\C W_0$ are the Cartan subalgebra (modulo center) of $\S^{0}$ and$\S^{\frac{1}{2}}$, respectively. These modules over $\S^{0}$ when restrictedto the $\mathfrak{t}$ are free of rank $1$, while these modules over$\S^{\frac{1}{2}}$ when restricted to the $\mathfrak{T}$ are free of rank $2$.Then we determine the necessary and sufficient conditions for these modulesbeing simple, as well as determining the necessary and sufficient conditionsfor two $\S^{\epsilon}$-modules being isomorphic. %Moreover, we see that thecategory of free $U(\mathfrak{t})$-modules of rank $1$ over $\S^0$ is%equivalent to the category of free $U(\mathfrak{T})$-modules of rank $2$ over%$\S^{\frac{1}{2}}$.

A class of non-weight modules over the super-BMS$_3$ algebra