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

We construct a crystal base of $U_q(\mathfrak{gl}(m|n))^-$, the negative halfof the quantum superalgebra $U_q(\mathfrak{gl}(m|n))$. We give a combinatorialdescription of the associated crystal $\mathscr{B}_{m|n}(\infty)$, which isequal to the limit of the crystals of the ($q$-deformed) Kac modules$K(\lambda)$. We also construct a crystal base of a parabolic Verma module$X(\lambda)$ associated with the subalgebra $U_q(\mathfrak{gl}_{0|n})$, andshow that it is compatible with the crystal base of $U_q(\mathfrak{gl}(m|n))^-$and the Kac module $K(\lambda)$ under the canonical embedding and projection of$X(\lambda)$ to $U_q(\mathfrak{gl}(m|n))^-$ and $K(\lambda)$, respectively.

Crystal base of the negative half of the quantum superalgebra $U_q(\mathfrak{gl}(m|n))$