PERIODICITY FOR SUBQUOTIENTS OF THE MODULAR CATEGORY ­Łĺ¬

Fiebig P (2022)


Publication Type: Journal article

Publication year: 2022

Journal

DOI: 10.1007/s00031-022-09770-4

Abstract

In this paper we study the category O ´┐Ż over the hyperalgebra of a reductive algebraic group in positive characteristics. For any locally closed subset K of weights, we define a subquotient O ´┐Ż([K]) of O ´┐Ż. It has the property that its simple objects are parametrized by elements in K. We then show that O ´┐Ż([K]) is equivalent to O ´┐Ż ([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.

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How to cite

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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