Periodicity for subquotients of the modular category O

Fiebig P (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Transformation Groups Springer Verlag (Germany)

DOI: 10.1007/s00031-022-09770-4

Abstract

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.

Authors with CRIS profile

Peter Fiebig Professur für Mathematik (Algebra und Geometrie)

How to cite

APA:

Fiebig, P. (2023). Periodicity for subquotients of the modular category O. Transformation Groups. https://doi.org/10.1007/s00031-022-09770-4

MLA:

Fiebig, Peter. "Periodicity for subquotients of the modular category O." Transformation Groups (2023).

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