Results 91 to 100 of about 9,331,100 (206)
Operators of finite rank in unitary representations of exponential Lie groups [PDF]
, 1982 Poguntke D. Operators of finite rank in unitary representations of exponential Lie groups. Mathematische Annalen.
Poguntke, Detlev
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Electronic Journal of Differential Equations, 2003 We consider the Green functions for second order non-coercive differential operators on homogeneous manifolds of negative curvature, being a semi-direct product of a nilpotent Lie group $N$ and $A=mathbb{R}^+$.
Roman Urban
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Zassenhaus varieties of general linear Lie algebras [PDF]
, 2005 Let g be a Lie algebra over an algebraically closed field of characteristic p>0 and let U be the universal enveloping algebra of g. We prove in this paper for g=gl_n and g=sl_n that the centre Z of U is a unique factorisation domain and that its field
Premet, Alexander; id_orcid +6 more
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Functional equations for zeta functions of groups and rings [PDF]
, 2010 We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for
Voll, C., Voll, Christopher
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Filtrations and canonical coordinates on nilpotent Lie groups [PDF]
Transactions of the American Mathematical Society, 1978 Let g be a finite-dimensional nilpotent Lie algebra over a field of characteristic zero. Introducing the notion of a positive, decreasing filtration 9 on a, the paper studies the multiplicative structure of the universal enveloping algebra {/(g), and also transformation laws between ^-canonical coordinates of the first and second kind associated with ...
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Existence of isoperimetric regions in sub-Finsler nilpotent groups
Analysis and Geometry in Metric SpacesWe consider a nilpotent Lie group with a bracket-generating distribution ℋ{\mathcal{ {\mathcal H} }} and an asymmetric left-invariant norm ∣⋅∣K{| \cdot | }_{K} induced by a convex body K⊆RkK\subseteq {{\mathbb{R}}}^{k} containing 0 in its interior.
Pozuelo Julián
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Harmonic Analysis in One-Parameter Metabelian Nilmanifolds
Symmetry, Integrability and Geometry: Methods and Applications, 2011 Let G be a connected, simply connected one-parameter metabelian nilpotent Lie group, that means, the corresponding Lie algebra has a one-codimensional abelian subalgebra. In this article we show that G contains a discrete cocompact subgroup.
Amira Ghorbel
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Explicit Ricci Solitons on Nilpotent Lie Groups [PDF]
Journal of Geometric Analysis, 2011 24 pages, no figures; typos corrected and exposition ...
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On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic. [PDF]
, 2008 This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. It is shown that, in certain circumstances, including for all solvable algebras, for all restricted Lie algebras over ...
Towers, David A.
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Unitary Representations of Nilpotent Super Lie Groups [PDF]
Communications in Mathematical Physics, 2010 We show that irreducible unitary representations of nilpotent super Lie groups can be obtained by induction from a distinguished class of sub super Lie groups. These sub super Lie groups are natural analogues of polarizing subgroups that appear in classical Kirillov theory.
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