Pregled bibliografske jedinice broj: 1104202
Classification of irreducible modules for Bershadsky-Polyakov algebra at certain levels
Classification of irreducible modules for Bershadsky-Polyakov algebra at certain levels // Beyond Rationality: exploring the many roads to postrational conformal field theory
Zeist, Nizozemska, 2019. (pozvano predavanje, nije recenziran, neobjavljeni rad, znanstveni)
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Naslov
Classification of irreducible modules for
Bershadsky-Polyakov algebra at certain levels
Autori
Kontrec, Ana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
Beyond Rationality: exploring the many roads to postrational conformal field theory
Mjesto i datum
Zeist, Nizozemska, 12.12.2019. - 13.12.2019
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
Vertex algebra ; W-algebras ; Bershadsky–Polyakov algebra ; Zhu’s algebra
Sažetak
This is joint work with Drazen Adamovic. We study the representation theory of the Bershadsky-Polyakov algebra $\mathcal W_k = \mathcal{; ; W}; ; _k(sl_3, f_{; ; \theta}; ; )$. In particular, Zhu algebra of $\mathcal W_k$ is isomorphic to a certain quotient of the Smith algebra, after changing the Virasoro vector. We classify all modules in the category O for the Bershadsky-Polyakov algebra W_k for k=-5/3, -9/4, -1, 0. In the case k=0 we show that the Zhu algebra A(W_k) has 2--dimensional indecomposable modules.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
--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:
Ana Kontrec
(autor)
