Rafael Mrđen – Page 11

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

Wednesday April 12th, 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

Saturday March 18th, 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, […]

Academician Andrej Dujella received an honorary doctorate from the University of Debrecen – DOCTOR HONORIS CAUSA

Monday March 6th, 2017 Rafael Mrđen 0

It is our great honor to announce that Academician Andrej Dujella, member of the Center of excellence QuantiXLie, by decision of the Senate of the University of Debrecen, received an honorary doctorate from the University of Debrecen. Warmest congratulations to Academician Dujella, on behalf of the Center of excellence QuantiXLie!

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

Tuesday December 6th, 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 […]