6 papers
Cross-projective representations of pairs of anticommutative algebras, alloys and finite-dimensional irreducible representations of some infinite-dimensional Lie algebras
Denis V. Juriev
The article is devoted to some ``strange'' phenomena of representation theory and their interrelations. Cross-projective representations of pairs of anticommutative algebras, alloy…
Topics in hidden symmetries. VI
Denis V. Juriev
In this note devoted to some aspects of the inverse problem of representation theory the attention is concentrated on the interrelations between various algebraic structures (algeb…
Topics in isotopic pairs and their representations. III. Bunches of Lie algebras and modified classical Yang-Baxter equation
Denis V. Juriev
This third part of the series is a brief comment to certain aspects of the theory of classical -matrix and bihamiltonian formalism, which motivations lie in constructions of the…
String field theory and quantum groups. I. Quantum group structures in geometric quantization of a self-interacting string field
Denis V. Juriev
The paper is devoted to a description of quantum group structures in the geometric quantization of a self-interacting string field, which appear under a transition from a tree-leve…
On the infinite dimensional hidden symmetries. II. -conformal modular functor
Denis V. Juriev
The article is devoted to the -conformal modular functors, which being ``deformations'' of the conformal modular functor (the projective representation of the category $Train(…
Topics in hidden symmetries. IV
Denis V. Juriev
This note being devoted to some aspects of the inverse problem of representation theory explicates the links between researches on the Sklyanin algebras and the author's (based on…