Pregled bibliografske jedinice broj: 358235
Twisted exterior derivative for enveloping algebras I
Twisted exterior derivative for enveloping algebras I // Lie Groups, Number Theory, and Vertex Algebras / Adamović, Dražen ; Dujella, Andrej ; Milas, Antun ; Pandžić, Pavle (ur.).
Providence (RI): American Mathematical Society (AMS), 2021. str. 305-319 doi:10.1090/conm/768/15469
CROSBI ID: 358235 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Twisted exterior derivative for enveloping algebras
I
Autori
Škoda, Zoran
Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni
Knjiga
Lie Groups, Number Theory, and Vertex Algebras
Urednik/ci
Adamović, Dražen ; Dujella, Andrej ; Milas, Antun ; Pandžić, Pavle
Izdavač
American Mathematical Society (AMS)
Grad
Providence (RI)
Godina
2021
Raspon stranica
305-319
ISBN
978-1-4704-5351-0
ISSN
0271-4132
Ključne riječi
exterior derivative ; enveloping algebra
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Fizika
Napomena
This volume contains the proceedings of the
conference Representation Theory XVI, held from
June 25–29, 2019, in Dubrovnik, Croatia.
POVEZANOST RADA
Projekti:
MZOS-098-0000000-2865 - Kvantna teorija polja, nekomutativni prostori i simetrije (Meljanac, Stjepan, MZOS ) ( CroRIS)
MZOS-037-0372794-2807 - Homološke i geometrijske metode u teoriji reprezentacija (Pandžić, Pavle, MZOS ) ( CroRIS)
HRZZ-IP-2018-01-7615 - Nove geometrije za gravitaciju i prostor-vrijeme (GRASP) (Chatzistavrakidis, Athanasios, HRZZ - 2018-01) ( CroRIS)
Ustanove:
Institut "Ruđer Bošković", Zagreb,
Sveučilište u Zadru
Profili:
Zoran Škoda
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus