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Pregled bibliografske jedinice broj: 358235

Twisted exterior derivative for enveloping algebras I


Škoda, Zoran
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


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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:

Avatar Url Zoran Škoda (autor)

Citiraj ovu publikaciju:

Škoda, Zoran
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
Škoda, Z. (2021) Twisted exterior derivative for enveloping algebras I. U: Adamović, D., Dujella, A., Milas, A. & Pandžić, P. (ur.) Lie Groups, Number Theory, and Vertex Algebras. Providence (RI), American Mathematical Society (AMS), str. 305-319 doi:10.1090/conm/768/15469.
@inbook{inbook, author = {\v{S}koda, Zoran}, year = {2021}, pages = {305-319}, DOI = {10.1090/conm/768/15469}, keywords = {exterior derivative, enveloping algebra}, doi = {10.1090/conm/768/15469}, isbn = {978-1-4704-5351-0}, issn = {0271-4132}, title = {Twisted exterior derivative for enveloping algebras I}, keyword = {exterior derivative, enveloping algebra}, publisher = {American Mathematical Society (AMS)}, publisherplace = {Providence (RI)} }
@inbook{inbook, author = {\v{S}koda, Zoran}, year = {2021}, pages = {305-319}, DOI = {10.1090/conm/768/15469}, keywords = {exterior derivative, enveloping algebra}, doi = {10.1090/conm/768/15469}, isbn = {978-1-4704-5351-0}, issn = {0271-4132}, title = {Twisted exterior derivative for enveloping algebras I}, keyword = {exterior derivative, enveloping algebra}, publisher = {American Mathematical Society (AMS)}, publisherplace = {Providence (RI)} }

Časopis indeksira:


  • Scopus


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