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- W3209431387 abstract "Abstract We clarify the links between the graded Specht construction of modules over cyclotomic Hecke algebras and the Robinson-Schensted-Knuth (RSK) construction for quiver Hecke algebras of type $A$, which was recently imported from the setting of representations of $p$-adic groups. For that goal we develop a theory of crystal derivative operators on quiver Hecke algebra modules that categorifies the Berenstein–Zelevinsky strings framework on quantum groups and generalizes a graded variant of the classical Bernstein–Zelevinsky derivatives from the $p$-adic setting. Graded cyclotomic decomposition numbers are shown to be a special subfamily of the wider concept of RSK decomposition numbers." @default.
- W3209431387 created "2021-11-08" @default.
- W3209431387 creator A5086993894 @default.
- W3209431387 date "2022-08-13" @default.
- W3209431387 modified "2023-09-26" @default.
- W3209431387 title "Graded Specht Modules as Bernstein–Zelevinsky Derivatives of the RSK Model" @default.
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- W3209431387 doi "https://doi.org/10.1093/imrn/rnac222" @default.
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