A class of Lie and Jordan algebras realized by means of the canonical commutation relations
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A Construction of Representations of Weyl Groups.
T.A. Springer (1978)
Inventiones mathematicae
An intrinsic analysis of unitarizable highest weight modules.
Thomas J. Enright, Anthony Joseph (1990)
Mathematische Annalen
Casimir operators on pseudodifferential operators of several variables.
Lee, Min Ho (2002)
Journal of Lie Theory
Idéaux à gauche dans les quotients simples de l’algèbre enveloppante de
Didier Arnal, Georges Pinczon (1973)
Bulletin de la Société Mathématique de France
Normalisation d'une représentation non linéaire d'une algèbre de Lie
Didier Arnal, Mabrouk Benammar, Mohamed Selmi (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
On integrability of discrete representations of Lie algebra
J. Mickelsson, J. Niederle (1973)
Annales de l'I.H.P. Physique théorique
Pseudotopologies with applications to one-parameter groups, von Neumann algebras, and Lie algebra representations
Jan Rusinek (1993)
Studia Mathematica
For any pair E,F of pseudotopological vector spaces, we endow the space L(E,F) of all continuous linear operators from E into F with a pseudotopology such that, if G is a pseudotopological space, then the mapping L(E,F) × L(F,G) ∋ (f,g) → gf ∈ L(E,G) is continuous. We use this pseudotopology to establish a result about differentiability of certain operator-valued functions related with strongly continuous one-parameter semigroups in Banach spaces, to characterize von Neumann algebras, and to establish...
Quantization and irreducible representations of infinite-dimensional transformation groups and Lie algebras.
Chernoff, Paul R. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Regular operators on partial inner product spaces
J.-P. Antoine, F. Mathot (1982)
Annales de l'I.H.P. Physique théorique
Simple facts about analytic vectors and integrability
M. Flato, J. Simon, H. Snellman, D. Sternheimer (1972)
Annales scientifiques de l'École Normale Supérieure
Singular Holomorphic Representations and Singular Modular Forms.
Hans Plesner Jakobsen, Michael Harris (1982)
Mathematische Annalen
Sur les représentations induites des groupes semi-simples complexes
Nicole Conze-Berline, Michel Duflo (1977)
Compositio Mathematica
The Capelli identity, the double commutant theorem and multiplicity-free-actions.
Roger Howe, Toru Umeda (1991)
Mathematische Annalen
The forms and representations of the Lie algebra .
Yushchenko, A. V. (2002)
Sibirskij Matematicheskij Zhurnal
Unitary dilations of commutation relations asscociated to alternating bilinear forms.
Palle E.T. Jorgensen (1993)
Mathematische Zeitschrift
Unitary structure in representations of infinite-dimensional groups and a convexity theorem.
V.G. Kac, D.H. Peterson (1984)
Inventiones mathematicae
Vecteurs différentiables dans les représentations unitaires des groupes de Lie
Pierre Cartier (1974/1975)
Séminaire Bourbaki
Конечномерные представления алгерб Ли и вполне интегрируемые системы
В.В. Трофимов (1980)
Matematiceskij sbornik
Неприводимые представления вполне разрешимых p-алгебр Ли
А.Н. Гришков (1977)
Algebra i Logika
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