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Twisted exterior derivative for enveloping algebras I (CROSBI ID 36881)

Prilog u knjizi | izvorni znanstveni rad | međunarodna recenzija

Škoda, Zoran Twisted exterior derivative for enveloping algebras I // Lie Groups, Number Theory, and Vertex Algebras / Adamović, Dražen ; Dujella, Andrej ; Milas, Antun et al. (ur.). Providence (RI): American Mathematical Society (AMS), 2021. str. 305-319 doi: 10.1090/conm/768/15469

Podaci o odgovornosti

Škoda, Zoran

engleski

Twisted exterior derivative for enveloping algebras I

Consider any representation ϕ of a finite- dimensional Lie algebra g by derivations of the completed symmetric algebra S^(g∗) of its dual. Consider the tensor product of S^(g∗) and the exterior algebra Λ(g). We show that the representation ϕ extends canonically to the representation ϕ~ of that tensor product algebra. We construct an exterior derivative on that algebra, giving rise to a twisted version of the exterior differential calculus with the enveloping algebra in the role of the coordinate algebra. In this twisted version, the commutators between the noncommutative differentials and coordinates are formal power series in partial derivatives. The square of the corresponding exterior derivative is zero like in the classical case, but the Leibniz rule is deformed.

exterior derivative ; enveloping algebra

This volume contains the proceedings of the conference Representation Theory XVI, held from June 25–29, 2019, in Dubrovnik, Croatia.

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nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o prilogu

305-319.

objavljeno

10.1090/conm/768/15469

Podaci o knjizi

Lie Groups, Number Theory, and Vertex Algebras

Adamović, Dražen ; Dujella, Andrej ; Milas, Antun ; Pandžić, Pavle

Providence (RI): American Mathematical Society (AMS)

2021.

978-1-4704-5351-0

0271-4132

1098-3627

Povezanost rada

Fizika, Matematika

Poveznice
Indeksiranost