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.
Mapping spaces and automorphism groups of toric noncommutative spaces / Barnes, Gwendolyn E.; Schenkel, Alexander; Szabo, Richard J.. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - 107:9(2017), pp. 1591-1628. [10.1007/s11005-017-0957-8]
Mapping spaces and automorphism groups of toric noncommutative spaces
Schenkel, Alexander
;
2017-01-01
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.File in questo prodotto:
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