Fiebig P (2022)
Publication Type: Journal article
Publication year: 2022
DOI: 10.1007/s00031-022-09770-4
In this paper we study the category O � over the hyperalgebra of a reductive algebraic group in positive characteristics. For any locally closed subset K of weights, we define a subquotient O �([K]) of O �. It has the property that its simple objects are parametrized by elements in K. We then show that O �([K]) is equivalent to O � ([K +pl gamma]) for any dominant weight gamma if l > 0 is an integer such that K boolean AND (K - p(l)eta) = null for all weights eta > 0. Hence it is enough to understand the subquotients inside the dominant (or the antidominant) chamber.
APA:
Fiebig, P. (2022). PERIODICITY FOR SUBQUOTIENTS OF THE MODULAR CATEGORY . Transformation Groups. https://dx.doi.org/10.1007/s00031-022-09770-4
MLA:
Fiebig, Peter. "PERIODICITY FOR SUBQUOTIENTS OF THE MODULAR CATEGORY ." Transformation Groups (2022).
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