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Subjects
17-XX Nonassociative rings and algebras
17Bxx Lie algebras and Lie superalgebras
17B65 Infinite-dimensional Lie (super)algebras

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Displaying 21 – 40 of 159

Binary operations in classical and quantum mechanics

Janusz Grabowski, Giuseppe Marmo (2003)

Banach Center Publications

Binary operations on algebras of observables are studied in the quantum as well as in the classical case. It is shown that certain natural compatibility conditions with the associative product imply properties which are usually additionally required.

Calogero-Moser spaces and an adelic $W$ -algebra

Emil Horozov (2005)

Annales de l’institut Fourier

We introduce a Lie algebra, which we call adelic $W$ -algebra. Then we construct a natural bosonic representation and show that the points of the Calogero-Moser spaces are in 1:1 correspondence with the tau-functions in this representation.

Characters of Irreducible Representations of the Lie Algebra of Vector Fields on the Circle.

N.R. Wallach, Rocha-Caridi, A. (1983)

Inventiones mathematicae

Characters of Irreducible Representations of the Virasoro Algebra.

Nolan R. Wallach, Alvany Rocha-Caridi (1984)

Mathematische Zeitschrift

Chevalley-Jordan decomposition for a class of locally finite Lie algebras

Ian Stewart (1976)

Compositio Mathematica

Classification des algèbres de Lie graduées simples de croissance ... 1.

O. Mathieu (1986)

Inventiones mathematicae

Classification of simple graded Lie algebras of finite growth.

Olivier Mathieu (1992)

Inventiones mathematicae

Cohomologies d'algèbres de Lie de champs de vecteurs formels

Claude Godbillon (1972/1973)

Séminaire Bourbaki

Cohomologies et déformations de certaines algèbres de Lie $ℤ$ -graduées

Faouzi Ammar (1995)

Publications du Département de mathématiques (Lyon)

Complete filtered Lie algebras over a vector space of dimension two.

Judson, Thomas W. (2002)

Journal of Lie Theory

Conjugacy theorems for a class of locally finite Lie algebras

Ian Stewart (1975)

Compositio Mathematica

Defining relations for classical Lie superalgebras without Cartan matrices.

Grozman, P., Leites, D., Poletaeva, E. (2002)

Homology, Homotopy and Applications

Demazure character formula in arbitrary Kac-Moody setting.

S. Kumar (1987)

Inventiones mathematicae

Dérivations et déformations de certaines algèbres de Lie infinies classiques

André Lichnerowicz (1976)

Publications du Département de mathématiques (Lyon)

Derivations of locally simple Lie algebras.

Neeb, Karl-Hermann (2005)

Journal of Lie Theory

Derivations of the Lie algebras of analytic vector fields

Janusz Grabowski (1981)

Compositio Mathematica

Derivations on the Nijenhuis-Schouten bracket algebra

Jiří Vanžura (1990)

Czechoslovak Mathematical Journal

Derivations on the restricted Nijenhuis-Schouten bracket algebra

Jiří Vanžura (1990)

Commentationes Mathematicae Universitatis Carolinae

Durch graduierte Lie-Algebren definierte Paar-Algebren.

Wolfgang Hein (1985)

Manuscripta mathematica

Extended affine root systems.

Azam, Saeid (2002)

Journal of Lie Theory

Currently displaying 21 – 40 of 159

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