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Ruijsenaars wavefunctions as modular group matrix coefficients. [PDF]
Di Francesco P +4 more
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Decompositions of Hyperbolic Kac-Moody Algebras with Respect to Imaginary Root Groups. [PDF]
Feingold AJ, Kleinschmidt A, Nicolai H.
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Double BFV Quantisation of 3D Gravity. [PDF]
Canepa G, Schiavina M.
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Algebraic Representation Theory of Partial Algebras
Annales Henri Poincaré, 2001The notions of irreducibility and complete reducibility of representations of a partial algebra are defined and characterized. Furthermore, the decomposition theory of completely reducible representations is discussed.
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Representations for Distribution Algebras
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1976AbstractIn [1] the possibility of multiplying distributions in the framework of a suitable algebra was shown, and a lot of new relations has been stated. Here we state simple representations by matrices as well as formal sums for such distribution algebras, which are equivalent to each other. By means of this representations it is possible to construct
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Representation of Game Algebras
Studia Logica, 2003This paper is the algebraic companion to \textit{V. Goranko}'s paper [Stud. Log. 75, 221--238 (2003; Zbl 1038.03057)] (which appeared in the same Studia Logica special issue on Game Logics and Game Algebras edited by Marc Pauly and Rohit Parikh). The author defines a class of algebras called \textit{board algebras} corresponding to sets of games closed
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Representations of monadic MV -algebras
Studia Logica, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BELLUCE L. P, GRIGOLIA R, LETTIERI, ADA
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Completely Representable Relation Algebras
Logic Journal of IGPL, 1995A complete representation of a Boolean algebra \(B\) is an injective complete homomorphism \(h : B \to {\mathcal P}(X)\). A complete representation of a relation algebra \(A\) is a map \(h : A \to {\mathcal P} (X \times X)\) such that \(h\) acts as a complete representation of the Boolean reduct of \(A\) into \(\mathcal P (h(1))\) and interprets the ...
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LIE ALGEBRAS WITH AN ALGEBRAIC ADJOINT REPRESENTATION
Mathematics of the USSR-Sbornik, 1984An algebra R over a field K satisfies the property P locally, if P holds for every finitely generated subalgebra of R. A famous result of A. I. Kostrikin claims that every Lie algebra G satisfying the Engel condition g(ad h)\({}^ n=0\) for any g,\(h\in G\), is locally nilpotent if char K\(=0\) or char K\(=p>n\).
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