Results 141 to 150 of about 318 (158)

Unipotent Flows and Counting Lattice Points on Homogeneous Varieties

Annals of Mathematics, 1996
Let \(G\) be a reductive algebraic group defined over \(\mathbb{Q}\), suppose \(G\) acts on an affine space \(W\) over \(\mathbb{Q}\), and let \(V\) be an affine subvariety of \(W\) (defined over \(\mathbb{Q}\)) on which \(G\) acts transitively. The authors wish to find an asymptotic formula for \(N(T, V)= \text{card} (V(\mathbb{Z}) \cap B(T))\) as \(T\
Alex Eskin, Shahar Mozes, Nimish A Shāh   +2 more
exaly   +3 more sources

Malcev products of unipotent monoids and varieties of bands

Semigroup Forum, 2011
Completely regular semigroups -- semigroups that are unions of groups -- have long been studied as unary semigroups, where \(a^{-1}\) is the inverse of \(a\) in the maximal subgroup (its group \(\mathcal H\)-class) to which it belongs. The induced operation \(a^0\), associating to each element the identity of its maximal subgroup, plays an important ...
Mario Petrich, Petrich Mario
exaly   +3 more sources

Theta Groups over Extensions of Abelian Varieties by Unipotent Groups

Moscow Mathematical Journal, 2004
[EN]Let 0 ? K_U ? Y ? X ? 0 be a sequence of morphisms of algebraic groups over an algebraically closed field k, where X is an abelian variety, K_U is a unipotent, connected and commutative group scheme, and (X, ?) is a geometric quotient of Y by K_U.
Pablos Romo, Fernando
openaire   +4 more sources

Associated Varieties and Unipotent Representations

, 1991
Suppose G ℝ is a semisimple Lie group. The philosophy of coadjoint orbits, as propounded by Kirillov and Kostant, suggests that unitary rep-resentations of G ℝ are closely related to the orbits of G ℝ on the dual \( \mathfrak{g}_{\mathbb{R}}^{ * } \) of the Lie algebra g ℝ of G ℝ.
David A. Vogan
openaire   +2 more sources

Commutative unipotent group actions on flag varieties and nilpotent multiplications

Russian Mathematical Surveys, 2014
exaly   +2 more sources

Rationality of extended unipotent characters

Archiv Der Mathematik
We determine the rationality properties of unipotent characters of finite reductive groups arising as fixed points of disconnected reductive groups under a Frobenius map.
Olivier Dudas, Gunter Malle, Malle Gunter   +2 more
exaly   +2 more sources

A measure on the Unipotent Variety

Canadian Journal of Mathematics, 1985
Suppose that G is a reductive algebraic group defined over Q. There occurs in the trace formula a remarkable distribution on G(A)1 which is supported on the unipotent set. It is defined quite concretely in terms of a certain integral over G(Q)\G(A)1. Despite its explicit description, however, this distribution is not easily expressed locally, in terms ...
openaire   +1 more source

The Unipotent variety and the flag variety

2011
openaire   +1 more source

Actions of the Derived Group of a Maximal Unipotent Subgroup on G-Varieties

International Mathematics Research Notices, 2010
D I Panyushev
exaly  

On Quotients of Affine Spherical Varieties by Certain Unipotent Subgroups

International Mathematics Research Notices, 2014
openaire   +1 more source