QUIVERS FOR SL2 TILTING MODULES

Daniel Tubbenhauer; Paul Wedrich

doi:10.1090/ERT/569

QUIVERS FOR SL2 TILTING MODULES

Daniel Tubbenhauer^*, Paul Wedrich

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Using diagrammatic methods, we define a quiver with relations depending on a prime p and show that the associated path algebra describes the category of tilting modules for SL2 in characteristic p. Along the way we obtain a presentation for morphisms between p-Jones—Wenzl projectors.

Original language	English
Pages (from-to)	440-480
Number of pages	41
Journal	Representation Theory
Volume	25
DOIs	https://doi.org/10.1090/ERT/569
Publication status	Published - 2021

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10.1090/ERT/569

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title = "QUIVERS FOR SL2 TILTING MODULES",

abstract = "Using diagrammatic methods, we define a quiver with relations depending on a prime p and show that the associated path algebra describes the category of tilting modules for SL2 in characteristic p. Along the way we obtain a presentation for morphisms between p-Jones—Wenzl projectors.",

keywords = "Modular representation theory, Temperley—Lieb, diagrammatic algebra, generators and relations, positive characteristic, tilting modules",

author = "Daniel Tubbenhauer and Paul Wedrich",

year = "2021",

doi = "10.1090/ERT/569",

language = "English",

volume = "25",

pages = "440--480",

journal = "Representation Theory",

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AU - Tubbenhauer, Daniel

AU - Wedrich, Paul

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AB - Using diagrammatic methods, we define a quiver with relations depending on a prime p and show that the associated path algebra describes the category of tilting modules for SL2 in characteristic p. Along the way we obtain a presentation for morphisms between p-Jones—Wenzl projectors.

KW - Modular representation theory

KW - Temperley—Lieb

KW - diagrammatic algebra

KW - generators and relations

KW - positive characteristic

KW - tilting modules

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U2 - 10.1090/ERT/569

DO - 10.1090/ERT/569

M3 - Article

SN - 1088-4165

VL - 25

SP - 440

EP - 480

JO - Representation Theory

JF - Representation Theory

ER -

QUIVERS FOR SL2 TILTING MODULES

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