Results 61 to 70 of about 1,532 (216)

Nilpotent subalgebras of semisimple Lie algebras [PDF]

, 2009
Let g be the Lie algebra of a semisimple linear algebraic group. Under mild conditions on the characteristic of the underlying field, one can show that any subalgebra of g consisting of nilpotent elements is contained in some Borel subalgebra.
Levy, Paul, George McNinch, Paul Levy, Testerman, Donna, McNinch, George, Testerman, Donna M., Donna M. Testerman   +6 more
core   +1 more source

Expansion of normal subsets of odd‐order elements in finite groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let G$G$ be a finite group and K$K$ a normal subset consisting of odd‐order elements. The rational closure of K$K$, denoted DK$\mathbf {D}_K$, is the set of elements x∈G$x \in G$ with the property that ⟨x⟩=⟨y⟩$\langle x \rangle = \langle y \rangle$ for some y$y$ in K$K$.
Chris Parker, Jack Saunders
wiley   +1 more source

Divergence in lattices in semisimple Lie groups and graphs of groups [PDF]

Transactions of the American Mathematical Society, 2009
Divergence functions of a metric space estimate the length of a path connecting two points A A ,
Drutu, C., Mozes, S., Sapir, M.
openaire   +3 more sources

Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley   +1 more source

Type I Almost-Homogeneous Manifolds of Cohomogeneity One—IV

Axioms, 2018
This paper is one of a series in which we generalize our earlier results on the equivalence of existence of Calabi extremal metrics to the geodesic stability for any type I compact complex almost homogeneous manifolds of cohomogeneity one. In this paper,
Zhuang-Dan Daniel Guan, Pilar Orellana, Anthony Van   +2 more
doaj   +1 more source

An analogue of Krein’s theorem for semisimple Lie groups [PDF]

Pacific Journal of Mathematics, 2011
For \(K\)-positive definite functions on a real rank \(n\) connected, noncompact, semisimple Lie group with finite centre, the author derives an integral representation of them. Moreover, the author considers \(\tau\)-positive definite functions, and gives an example in which the set of \(\tau\)-positive definite functions is same as the set of ...
openaire   +2 more sources

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

The topology of a semisimple Lie group is essentially unique

, 2011
We study locally compact group topologies on simple and semisimple Lie groups. We show that the Lie group topology on such a group S is very rigid: every “abstract” isomorphism between S and a locally compact and σ-compact group Γ is automatically a ...
Kramer, Linus, Linus Kramer
core   +1 more source

Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito, Andrea Rivezzi, Jonas Schnitzer, Thomas Weber   +3 more
wiley   +1 more source

Supersymmetry and trace formulas. Part III. Frenkel trace formula

Journal of High Energy Physics
By applying the new supersymmetric localization principle introduced in [5, 6], we present two complementary approaches for the path integral derivation of the ‘non-chiral’ trace formula for a semisimple compact Lie group G, which generalizes the so ...
Changha Choi, Leon A. Takhtajan
doaj   +1 more source