Mapping spaces and automorphism groups of toric noncommutative spaces

Gwendolyn Elizabeth Barnes; Alexander Schenkel; Richard Joseph Szabo

doi:10.1007/s11005-017-0957-8

Mapping spaces and automorphism groups of toric noncommutative spaces

Gwendolyn Elizabeth Barnes, Alexander Schenkel^*, Richard Joseph Szabo

^*Corresponding author for this work

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

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Abstract

We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application, we study the ‘internalized’ automorphism group of a toric noncommutative space and show that its Lie algebra has an elementary description in terms of braided derivations.

Original language	English
Pages (from-to)	1591-1628
Number of pages	38
Journal	Letters in Mathematical Physics
Volume	107
Issue number	9
Early online date	7 Apr 2017
DOIs	https://doi.org/10.1007/s11005-017-0957-8
Publication status	Published - Sept 2017

Keywords

Automorphism groups
Exponential objects
Noncommutative geometry
Sheaves
Torus actions

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Mapping spaces and automorphism groups of toric noncommutative spaces",

abstract = "We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application, we study the {\textquoteleft}internalized{\textquoteright} automorphism group of a toric noncommutative space and show that its Lie algebra has an elementary description in terms of braided derivations.",

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AU - Barnes, Gwendolyn Elizabeth

AU - Schenkel, Alexander

AU - Szabo, Richard Joseph

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AB - We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application, we study the ‘internalized’ automorphism group of a toric noncommutative space and show that its Lie algebra has an elementary description in terms of braided derivations.

KW - Automorphism groups

KW - Exponential objects

KW - Noncommutative geometry

KW - Sheaves

KW - Torus actions

UR - https://www.scopus.com/pages/publications/85017177132

U2 - 10.1007/s11005-017-0957-8

DO - 10.1007/s11005-017-0957-8

M3 - Article

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SN - 0377-9017

VL - 107

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JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 9

ER -

Mapping spaces and automorphism groups of toric noncommutative spaces

Abstract

Keywords

ASJC Scopus subject areas

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