Browsing 2005 by Title

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  • Realizations of affine Lie algebras 
    Futorny, Vyacheslav (Луганский национальный университет им. Т. Шевченко, 2005)
    This is an expository paper on some realizations of affine Lie algebras and their representations in terms of differential operators. In particular we recall the classical construction of Wakimoto modules and its recent ...
  • Some properties of primitive matrices over Bezout B-domain 
    Shchedryk, V. P. (Луганский национальный университет им. Т. Шевченко, 2005)
    The properties of primitive matrices (matrices for which the greatest common divisor of the minors of maximal order is equal to 1) over Bezout B - domain, i.e. commutative domain finitely generated principal ideal in which ...
  • Steiner P-algebras 
    Chakrabarti, Sucheta (Луганский национальный университет им. Т. Шевченко, 2005)
    General algebraic systems are able to formalize problems of different branches of mathematics from the algebraic point of view by establishing the connectivity between them. It has lots of applications in theoretical ...
  • Ternary Hopf algebras 
    Zekoviс, Biljana (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    In this paper we introduce the notion of a ternary Hopf algebra and prove that it can be embedded into a universal enveloping Hopf algebra.
  • Topological semigroups of matrix units 
    Gutik, Oleg V.; Pavlyk, Kateryna P. (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    We prove that the semigroup of matrix units is stable. Compact, countably compact and pseudocompact topologies on the infinite semigroup of matrix units B such that (B , ) is a semitopological (inverse) semigroup are ...
  • Two-generated graded algebras 
    Shirikov, Evgenij N. (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    The paper is devoted to classification of two-generated graded algebras. We show that under some general assumptions there exist two classes of these algebras, namely quantum polynomials and Jordanian plane. We study prime ...
  • Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups 
    Sushchansky, Vitaly I.; Netreba, Nataliya V. (Луганский национальный университет им. Т. Шевченко, 2005)
    We define a wreath product of a Lie algebra L with the one-dimensional Lie algebra L1 over Fp and determine some properties of this wreath product. We prove that the Lie algebra associated with the Sylow p-subgroup of ...

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