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THE CENTER OF SL2 TILTING MODULES

Part of: Linear algebraic groups and related topics Representation theory of groups Lie algebras and Lie superalgebras

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-8057Zürich, Switzerland, e-mail: daniel.tubbenhauer@math.uzh.ch
PAUL WEDRICH
Affiliation:
Mathematical Sciences Research Institute, 17 Gauss Way, Berkeley, CA94720, USA, e-mail: p.wedrich@gmail.com
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Abstract

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 theory 20C20: Modular representations and characters
Secondary: 17B10: Representations, algebraic theory (weights)
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

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References

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