Rafael Mrđen – Page 11

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, […]

Akademik Andrej Dujella dobio počasni doktorat Sveučilišta u Debrecenu – DOCTOR HONORIS CAUSA

06/03/2017 Rafael Mrđen 0

Iznimna nam je čast objaviti da je akademik Andrej Dujella, član ZCI QuantiXLie, odlukom Senata Sveučilišta u Debrecenu, dobio titulu počasnog doktora Sveučilišta u Debrecenu. Najsrdačnije čestitke akademiku Dujelli od strane ZCI QuantiXLie!

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 […]