An integral second fundamental theorem of invariant theory for partition algebras
نویسندگان
چکیده
We prove that the kernel of action group algebra Weyl acting on tensor space (via restriction from general linear group) is a cell ideal with respect to alternating Murphy basis. This provides an analogue second fundamental theory invariant for partition over arbitrary commutative ring and proves centraliser algebras are cellular. also similar results half algebras.
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ژورنال
عنوان ژورنال: Representation Theory of The American Mathematical Society
سال: 2022
ISSN: ['1088-4165']
DOI: https://doi.org/10.1090/ert/593