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Representation Theory XV, Dubrovnik, Croatia, June 18 – 25, 2017

Thursday June 15th, 2017 Rafael Mrđen 0

Representation Theory XV is a conference and a postgraduate school on representation theory. The topics are representations of real and p-adic Lie groups, representations of Kac-Moody Lie algebras, vertex operator algebras, quantum groups. The conference will be held in Dubrovnik, June 18 – June 25, 2017 at the Inter-University Centre. […]

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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 […]

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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, […]