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Pregled bibliografske jedinice broj: 1103084

Realizations of simple affine vertex algebras and decompositions in conformal embeddings

Adamović, Dražen
Realizations of simple affine vertex algebras and decompositions in conformal embeddings // RIMS Gasshuku-style Seminar "Vertex Operator Algebras and Conformal Field Theory"
Kyoto, Japan, 2018. str. 1-1 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)

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Naslov
Realizations of simple affine vertex algebras and decompositions in conformal embeddings

Autori
Adamović, Dražen

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
RIMS Gasshuku-style Seminar "Vertex Operator Algebras and Conformal Field Theory"

Mjesto i datum
Kyoto, Japan, 02.07.2018. - 06.07.2018

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Affine vertex algebras ; explicit realizations ; logarithmic and Whittaker modules

Sažetak
In the first part of the talk we review our recent explicit realizations of certain affine vertex algebras and discuss their applications in the representation theory. We describe a construction of logarithmic modules and Whittaker modules for admissible affine vertex algebras $V_k(sl(2))$. Next, we report on new developments in the study of conformal embeddings of affine vertex algebras (a joint project with Kac, Papi, Moseneder-Frajria, and Perse). We present new results and conjectures on decompositions in conformal embeddings by applying affine fusion rules, explicit realizations and $q$-series identities.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2013-11-2634 - Algebarske i kombinatorne metode u teoriji verteks algebri (ACMVAT) (Adamović, Dražen, HRZZ - 2013-11) ( CroRIS)
--KK.01.1.1.01.0004 - Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri (QuantiXLie) (Buljan, Hrvoje; Pandžić, Pavle) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Dražen Adamović (autor)

sites.google.com

Citiraj ovu publikaciju:

Adamović, Dražen
Realizations of simple affine vertex algebras and decompositions in conformal embeddings // RIMS Gasshuku-style Seminar "Vertex Operator Algebras and Conformal Field Theory"
Kyoto, Japan, 2018. str. 1-1 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)
Adamović, D. (2018) Realizations of simple affine vertex algebras and decompositions in conformal embeddings. U: RIMS Gasshuku-style Seminar "Vertex Operator Algebras and Conformal Field Theory".
@article{article, author = {Adamovi\'{c}, Dra\v{z}en}, year = {2018}, pages = {1-1}, keywords = {Affine vertex algebras, explicit realizations, logarithmic and Whittaker modules}, title = {Realizations of simple affine vertex algebras and decompositions in conformal embeddings}, keyword = {Affine vertex algebras, explicit realizations, logarithmic and Whittaker modules}, publisherplace = {Kyoto, Japan} }
@article{article, author = {Adamovi\'{c}, Dra\v{z}en}, year = {2018}, pages = {1-1}, keywords = {Affine vertex algebras, explicit realizations, logarithmic and Whittaker modules}, title = {Realizations of simple affine vertex algebras and decompositions in conformal embeddings}, keyword = {Affine vertex algebras, explicit realizations, logarithmic and Whittaker modules}, publisherplace = {Kyoto, Japan} }

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