Results 1 to 10 of about 853,327 (326)

Lie cohomology of representations of nilpotent Lie groups and holomorphically induced representations [PDF]

Transactions of the American Mathematical Society, 1980
Let U be a locally injective, Moore-Wolf square integrable representa- tion of a nilpotent Lie group N. Let (%, X) be a complex, maximal subordinate pair corresponding to U and let 5Q, = ker X n 3C. The space C°°(U) of differentiable vectors for U is an 3Q module. In this work we compute the Lie algebra cohomology HiCXq, C°°(U)) of this Lie module.
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Vacuum polarization of scalar field on Lie groups with Bi-invariant metric [PDF]

Компьютерные исследования и моделирование, 2015
We consider vacuum polarization of a scalar field on the Lie groups with a bi-invariant metric of Robertson-Walker type. Using the method of orbits we found expression for the vacuum expectation values of the energy-momentum tensor of the scalar field ...
Alexander Igorevich Breev, Aleksandr Vasilievich Shapovalov   +1 more
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Analytic factorization of Lie group representations

Journal of Functional Analysis, 2012
14 ...
Gimperlein, Heiko, Krötz, Bernhard, Lienau, Christoph   +2 more
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Connections on trivial vector bundles over projective schemes

Comptes Rendus. Mathématique
Over a smooth and proper complex scheme, the differential Galois group of an integrable connection may be obtained as the closure of the transcendental monodromy representation.
Biswas, Indranil, Hô Hai, Phùng, dos Santos, Joao Pedro   +2 more
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Symmetric degenerations are not in general induced by type A degenerations [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2022
We consider a symmetric quiver with relations. Its (symmetric) representations of a fixed symmetric dimension vector are encoded in the (symmetric) representation varieties.
Magdalena Boos, Giovanni Cerulli Irelli
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ON UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS [PDF]

Proceedings of the National Academy of Sciences, 1957
In dieser Arbeit werden die hauptsächlichen Ergebnisse der nachfolgend referierten Arbeit angekündigt [vgl. Bull. Math. Soc. Fr. 85, 325--388 (1957; Zbl 0085.10303)].
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Modular Lie representations of finite groups [PDF]

Journal of the Australian Mathematical Society, 2004
AbstractLet K be a field of prime characteristic p and let G be a finite group with a Sylow p-subgroup of order p. For any finite-dimensional K G-module V and any positive integer n, let Ln (V) denote the nth homogeneous component of the free Lie K-algebra generated by (a basis of) V.
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On faithful representations of the holomorph of Lie groups [PDF]

Mathematische Annalen, 1986
Für ein Liesche Gruppe G ist das kanonische semidirekte Produkt Aut(G)\(\ltimes G\) der sogenannte Holomorph von G. In Fortsetzung und Erweiterung von Arbeiten des ersten Autors und von G. Hochschild untersuchen die Autoren die Frage, wann der Holomorph eine treue endlichdimensionale Darstellung besitzt.
Wu, Ta-Sun, Lee, Dong Hoon
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Lie group analysis, solitary wave solutions and conservation laws of Schamel Burger’s equation

Partial Differential Equations in Applied Mathematics
This paper presents a Lie group analysis of the Schamel Burger’s equation, notable for producing shock-type traveling waves in distinctive physical contexts.
Naseem Abbas, Amjad Hussain, Firdous Bibi   +2 more
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Metabelian Lie powers of group representations [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1994
AbstractAny representation of a group G on a vector space V extends uniquely to a representation of G on the free metabelian Lie algebra on V. In this paper we study such representations and make some group-theoretic applications.
Bryant, R. M., Stöhr, R., Zerck, R.
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