Twisted exterior derivative for enveloping algebras I (CROSBI ID 36881)
Prilog u knjizi | izvorni znanstveni rad | međunarodna recenzija
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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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