Results 91 to 100 of about 5,668,334 (196)

Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]

open access: yes, 2013
We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri   +3 more
core   +1 more source

A computational approach to 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type

open access: yes, 2010
Let g be a simple complex Lie algebra and let e be a nilpotent element of g. It was conjectured by Premet in [P07i] that the finite W-algebra U(g; e) admits a 1-dimensional representation, and further work [L10, P08] has reduced this conjecture to the ...
Ubly, Glenn
core   +1 more source

Unitary Representations of Nilpotent Super Lie Groups [PDF]

open access: yesCommunications 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.
openaire   +2 more sources

Unification and equation solving in nilpotent groups and monoids [PDF]

open access: yes, 1991
Unification and equation solving have been considered for groups [44], semigroups [43], abelian groups [39] and abelian semigroups [25], [33], [68], [69]. In this thesis we consider partially commutative groups and monoids. Nilpotency provides us with a
Burke, Edmund Kieran
core   +2 more sources

A Plancherel Formula for Idyllic Nilpotent Lie Groups [PDF]

open access: yesTransactions of the American Mathematical Society, 1976
A procedure is developed which can be used to compute the Plancherel measure for a certain class of nilpotent Lie groups, including the Heisenberg groups, free groups, two-and three-step groups, the nilpotent part of an Iwasawa decomposition of the R-split form of the classical simple groups
openaire   +1 more source

Estimates for derivatives of the Green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature, II

open access: yesElectronic 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
doaj  

Differential forms in Carnot groups: a variational approach

open access: yesBruno Pini Mathematical Analysis Seminar, 2011
Carnot groups (connected simply connected nilpotent stratified Lie groups) can be endowed with a complex of ``intrinsic'' differential forms. In this paper we want to provide an evidence of the intrinsic character of Rumin's complex, in the spirit of the
Annalisa Baldi
doaj  

BIBO Stability of Linear Control Systems on Lie Group Examples

open access: yesMathematics
We develop a collection of nontrivial examples that illustrate and test recent stability results for linear control systems (LCS) on Lie groups. We treat the main structural classes: Abelian (Rn), nilpotent (Heisenberg), solvable non-nilpotent (rigid ...
Víctor Ayala   +2 more
doaj   +1 more source

Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature

open access: yesElectronic Journal of Differential Equations, 2004
We consider the Green functions for second-order left-invariant differential operators on homogeneous manifolds of negative curvature, being a semi-direct product of a nilpotent Lie group $N$ and $A=mathbb{R}^+$. We obtain estimates for mixed derivatives
Roman Urban
doaj  

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