Results 81 to 90 of about 263 (155)

Lie algebra extensions and abelian monopoles

Physics Letters B, 1987
Abstract By considering an appropriate exact sequence of Lie algebras and using properties of Lie algebra extensions, we give an abstract algebraic description of the abelian monopole. We show how a sequence of Lie algebras carries a notion of a covariant derivative.
LANDI, GIOVANNI, G. MARMO
openaire   +3 more sources

Kitaoka's conjecture and sums of squares

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract We connect the existence of a ternary classical universal quadratic form over a totally real number field K$K$ with the property that all totally positive multiples of 2 are sums of squares (if K$K$ does not contain 2$\sqrt{2}$ or contains a nonsquare totally positive unit).
Vítězslav Kala, Kristýna Kramer, Jakub Krásenský   +2 more
wiley   +1 more source

On the classification of abelian extensions

The São Paulo Journal of Mathematical Sciences, 2012
For a flat Lie algebra g and a g-module M in a symmetric monoidal abelian category linear over a field of characteristic zero we establish and equivalence of categories between the groupoid of Lie algebra extensions of g by M and the groupoid of extensions in the category of g-modules of the augmentation ideal U(g)+by M.
openaire   +2 more sources

Totally elliptic surface group representations

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract A surface group representation into a Lie group is totally elliptic if every simple closed curve on the surface is mapped to an elliptic element. In this note, we characterize all totally elliptic surface group representations into PSL2R$\operatorname{PSL}_2 \mathbb {R}$ and PSL2C$\operatorname{PSL}_2\mathbb {C}$ by showing that they are ...
Arnaud Maret
wiley   +1 more source

A birational description of the minimal exponent

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley   +1 more source

Infinite locally finite groups groups with the given properties of the norm of Abelian non-cyclic subgroups

Математичні Студії
In the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
doaj   +1 more source

A trace–path integral formula over function fields

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley   +1 more source

Heights on ‘hybrid orbits’ in Shimura varieties

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley   +1 more source

An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley   +1 more source

Frames and Homogeneous Spaces [PDF]

Journal of Sciences, Islamic Republic of Iran, 2011
Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with .
A. Ghaani Farashahi
doaj