DIAGRAMMATIC CONSTRUCTION OF REPRESENTATIONS OF SMALL QUANTUM sl 2

C. Blanchet; M. De Renzi; J. Murakami

doi:10.1007/s00031-021-09670-z

DIAGRAMMATIC CONSTRUCTION OF REPRESENTATIONS OF SMALL QUANTUM sl ₂

C. Blanchet, M. De Renzi^*, J. Murakami

^*Corresponding author for this work

School of Fundamental Science and Engineering

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

2 Citations (Scopus)

Abstract

We provide a combinatorial description of the monoidal category generated by the fundamental representation of the small quantum group of sl₂ at a root of unity q of odd order. Our approach is diagrammatic, and it relies on an extension of the Temperley–Lieb category specialized at δ = −q − q⁻¹.

Original language	English
Journal	Transformation Groups
DOIs	https://doi.org/10.1007/s00031-021-09670-z
Publication status	Accepted/In press - 2021

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.1007/s00031-021-09670-z

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@article{d429ba950823466988691ce9af8e183d,

title = "DIAGRAMMATIC CONSTRUCTION OF REPRESENTATIONS OF SMALL QUANTUM sl 2",

abstract = "We provide a combinatorial description of the monoidal category generated by the fundamental representation of the small quantum group of sl2 at a root of unity q of odd order. Our approach is diagrammatic, and it relies on an extension of the Temperley–Lieb category specialized at δ = −q − q−1.",

author = "C. Blanchet and Renzi, {M. De} and J. Murakami",

note = "Funding Information: M. De Renzi Supported by JSPS Postdoctoral Fellowship for Research in Japan ID PE18705. Publisher Copyright: {\textcopyright} 2021, The Author(s).",

year = "2021",

doi = "10.1007/s00031-021-09670-z",

language = "English",

journal = "Transformation Groups",

issn = "1083-4362",

publisher = "Birkhause Boston",

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AU - Blanchet, C.

AU - Renzi, M. De

AU - Murakami, J.

PY - 2021

Y1 - 2021

N2 - We provide a combinatorial description of the monoidal category generated by the fundamental representation of the small quantum group of sl2 at a root of unity q of odd order. Our approach is diagrammatic, and it relies on an extension of the Temperley–Lieb category specialized at δ = −q − q−1.

AB - We provide a combinatorial description of the monoidal category generated by the fundamental representation of the small quantum group of sl2 at a root of unity q of odd order. Our approach is diagrammatic, and it relies on an extension of the Temperley–Lieb category specialized at δ = −q − q−1.

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DO - 10.1007/s00031-021-09670-z

M3 - Article

AN - SCOPUS:85116163889

SN - 1083-4362

JO - Transformation Groups

JF - Transformation Groups

ER -

DIAGRAMMATIC CONSTRUCTION OF REPRESENTATIONS OF SMALL QUANTUM sl ₂

Abstract

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