On a New Approach to Williamson's Generalization of Pólya's Enumeration Theorem

Iliev, Valentin

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Semi-Symmetric Algebras: General Constructions. Part II

Iliev, Valentin Vankov (2010)

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2000 Mathematics Subject Classification: 15A69, 15A78. In [3] we present the construction of the semi-symmetric algebra [χ](E) of a module E over a commutative ring K with unit, which generalizes the tensor algebra T(E), the symmetric algebra S(E), and the exterior algebra ∧(E), deduce some of its functorial properties, and prove a classification theorem. In the present paper we continue the study of the semi-symmetric algebra and discuss its graded dual, the corresponding...

Complex-symmetric spaces

Ralf Lehmann (1989)

Annales de l'institut Fourier

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A compact complex space $X$ is called complex-symmetric with respect to a subgroup $G$ of the group ${Aut}_{0} (X)$ , if each point of $X$ is isolated fixed point of an involutive automorphism of $G$ . It follows that $G$ is almost $G^{0}$ -homogeneous. After some examples we classify normal complex-symmetric varieties with $G^{0}$ reductive. It turns out that $X$ is a product of a Hermitian symmetric space and a compact torus embedding satisfying some additional conditions. In the smooth case these torus embeddings are classified...

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Kronecker product identities from D-finite symmetric functions.

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A necessary and sufficient condition is given for reducibility of a symmetric polynomial whose number of variables is large in comparison to degree.

Double-coset enumeration algorithm for symmetrically generated groups.

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A trace formula for semi-simple Lie algebras

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Performance analysis of demodulation with diversity -- A combinatorial approach I: Symmetric function theoretical methods.

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On some Finite-Dimensional Representations of Artin Braid Group Върху някои крайномерни представяния на групата на Артин на плитките

Iliev, Valentin (2011)

Union of Bulgarian Mathematicians

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Валентин В. Илиев - Авторът изучава някои хомоморфни образи G на групата на Артин на плитките върху n нишки в крайни симетрични групи. Получените пермутационни групи G са разширения на симетричната група върху n букви чрез подходяща абелева група. Разширенията G зависят от един целочислен параметър q ≥ 1 и се разцепват тогава и само тогава, когато 4 не дели q. В случая на нечетно q са намерени всички крайномерни неприводими представяния на G, а те от своя страна генерират безкрайна...