Jedinica za teoriju reprezentacija Liejevih algebri, teoriju brojeva i pridružene strukture – Page 11

Representation Theory XV, Dubrovnik, 18.-25. lipnja 2017.

15/06/2017 Rafael Mrđen 0

Representation Theory XV je konferencija i poslijediplomska radionica iz teorije reprezentacija. Teme su: reprezentacije realnih i p-adskih Liejevih grupa, reprezentacije Kac-Moodyjevih Liejevih algebri, vertex operatorske algebre, kvantne grupe. Konferencija se održava u Dubrovniku, 18.-25. lipnja 2017. na Inter-University Centre. Organizatori su: Dražen Adamović, Hrvoje Kraljević, Antun Milas, Pavle Pandžić, Mirko Primc and […]

On principal realization of modules for the affine Lie algebra $A_1^{(1)}$ at the critical level

12/04/2017 Rafael Mrđen 0

Abstract: We present complete realization of irreducible -modules at the critical level in the principal gradation. Our construction uses vertex algebraic techniques, the theory of twisted modules and representations of Lie conformal superalgebras. We also provide an alternative Z-algebra approach to this construction. All irreducible highest weight -modules at the […]

There Are Infinitely Many Rational Diophantine Sextuples

18/03/2017 Rafael Mrđen 0

A rational Diophantine m-tuple is a set of m non zero rationals such that the product of any two of them increased by 1 is a perfect square. The first rational Diophantine quadruple was found by Diophantus, while Euler proved that there are infinitely many rational Diophantine quintuples. In 1999, […]

On Free Field Realizations of $W(2,2)$ -Modules

06/12/2016 Rafael Mrđen 0

Abstract The aim of the paper is to study modules for the twisted Heisenberg-Virasoro algebra at level zero as modules for the -algebra by using construction from [J. Pure Appl. Algebra 219(2015), 4322-4342, arXiv:1405.1707]. We prove that the irreducible highest weight -module is irreducible as -module if and only if it has […]

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