Results 51 to 60 of about 178,877 (207)

Representations of nilpotent Lie groups via measurable dynamical systems [PDF]

, 2015
We study unitary representations associated to cocycles of measurable dynamical systems. Our main result establishes conditions on a cocycle, ensuring that ergodicity of the dynamical system under consideration is equivalent to irreducibility of its ...
I. Beltiţă, D. Beltiţă
semanticscholar   +1 more source

Complete classification of homogeneous structures on Lorentzian direct extensions of the Heisenberg group [PDF]

ریاضی و جامعه
The Heisenberg Lie group is one of the most famous and important Lie groups among the family of three dimensional Lie groups. The direct extension of this group to the fourth dimension was taken into consideration in the study of the nilpotent Lie ...
Amirhesam Zaeim, Mehdi Jafari, Moslem Baghgoli   +2 more
doaj   +1 more source

Groups with conjugacy classes of coprime sizes

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract Suppose that x$x$, y$y$ are elements of a finite group G$G$ lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩∩⟨yG⟩$\langle x^G \rangle \cap \langle y^G \rangle$ is an abelian normal subgroup of G$G$ and, as a consequence, that if x$x$ and y$y$ are π$\pi$‐regular elements for some set of primes π$\pi$, then xGyG$x^G y^G$ is a π ...
R. D. Camina, A. Maróti, E. Pacifici, C. Parker, K. Rekvényi, J. Saunders, V. Sotomayor, G. Tracey, M. van Beek   +8 more
wiley   +1 more source

Generalisations of Capparelli's and Primc's identities, II: Perfect An−1(1)$A_{n-1}^{(1)}$ crystals and explicit character formulae

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper, we study the representation theoretic consequences of our combinatorial results.
Jehanne Dousse, Isaac Konan
wiley   +1 more source

Connected components of the space of flags of SO0(p,q)$\operatorname{SO}_0(p,q)$ transverse to a fixed pair and restrictions on Anosov subgroups

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We count and give a parametrization of connected components in the space of flags transverse to a given transverse pair in every flag varieties of SO0(p,q)$\operatorname{SO}_0(p,q)$. We compute the effect the involution of the unipotent radical has on those components and, using methods of Dey–Greenberg–Riestenberg, we show that for certain ...
Clarence Kineider, Roméo Troubat
wiley   +1 more source

VARIETIES OF SIGNATURE TENSORS

Forum of Mathematics, Sigma, 2019
The signature of a parametric curve is a sequence of tensors whose entries are iterated integrals. This construction is central to the theory of rough paths in stochastic analysis. It is examined here through the lens of algebraic geometry.
CARLOS AMÉNDOLA, PETER FRIZ, BERND STURMFELS   +2 more
doaj   +1 more source

Singular Integrals on Nilpotent Lie Groups [PDF]

Proceedings of the American Mathematical Society, 1975
Convolution operators T f ( x ) = ∫ f ( x y − 1 ) K ( y ) d y Tf(x) = \smallint f(x{y^{ - 1}})K(y)\;dy on a class of nilpotent Lie ...
openaire   +2 more sources

Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let q$q$ be a power of a fixed prime p$p$. We classify up to isomorphism all simple saturated fusion systems on a certain class of p$p$‐groups constructed from the polynomial representations of SL2(q)$\operatorname{SL}_2(q)$, which includes the Sylow p$p$‐subgroups of GL3(q)$\mathrm{GL}_3(q)$ and Sp4(q)$\mathrm{Sp}_4(q)$ as special cases.
Valentina Grazian, Chris Parker, Jason Semeraro, Martin van Beek   +3 more
wiley   +1 more source

Quiver theories and Hilbert series of classical Slodowy intersections

Nuclear Physics B, 2020
We build on previous studies of the Higgs and Coulomb branches of SUSY quiver theories having 8 supercharges, including 3dN=4, and Classical gauge groups. The vacuum moduli spaces of many such theories can be parameterised by pairs of nilpotent orbits of
Amihay Hanany, Rudolph Kalveks
doaj   +1 more source

Fixed points of local actions of nilpotent Lie groups on surfaces [PDF]

Ergodic Theory and Dynamical Systems, 2014
Let $G$ be a connected nilpotent Lie group with a continuous local action on a real surface $M$ , which might be non-compact or have non-empty boundary $\unicode[STIX]{x2202}M$ . The action need not be smooth.
M. Hirsch
semanticscholar   +1 more source