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THE CENTER OF SL2 TILTING MODULES

Part of:Representation theory of groupsLie algebras and Lie superalgebrasLinear algebraic groups and related topics

Published online by Cambridge University Press:  05 March 2021

DANIEL TUBBENHAUER and
PAUL WEDRICH
DANIEL TUBBENHAUER
Affiliation:
Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, Campus Irchel, Office Y27J32, CH-8057 Zürich, Switzerland, e-mail: daniel.tubbenhauer@math.uzh.ch
PAUL WEDRICH
Affiliation:
Mathematical Sciences Research Institute, 17 Gauss Way, Berkeley, CA 94720, USA, e-mail: p.wedrich@gmail.com
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Abstract

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In this note, we compute the centers of the categories of tilting modules for G = SL2 in prime characteristic, of tilting modules for the corresponding quantum group at a complex root of unity, and of projective GgT-modules when g = 1, 2.

MSC classification

Primary:20G05: Representation theory20C20: Modular representations and characters
Secondary:17B10: Representations, algebraic theory (weights)

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 64 , Issue 1 , January 2022, pp. 165 - 184
Copyright
© The Author(s), 2021. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

References

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