Results 51 to 60 of about 802 (140)
, 2018 We give a geometric construction of the Heisenberg-Weil representation of a finite unitary group by the middle \'{e}tale cohomology of an algebraic variety over a finite field, whose rational points give a unitary Heisenberg group. Using also a Frobenius
Imai, Naoki, Tsushima, Takahiro
core
Unipotent elements in small characteristic, III [PDF]
Journal of Algebra, 2008 We give a uniform description of the decomposition of the unipotent variety of a classical group in arbitrary characteristic into pieces (considered in a non-uniform way in the earlier parts of this paper).
openaire +7 more sources
Irreducible unipotent numerical monoids
Semigroup ForumAbstractIn our earlier article (Can and Sakran in Port Math 81(1–2): 21–55, 2024) we initiated a study of the complement-finite submonoids of the group of integer points of a unipotent linear algebraic group. In the present article, we continue to develop tools and techniques for analyzing our monoids.
Can, Mahir Bilen, Sakran, Naufil
openaire +2 more sources
Rationality properties of unipotent representations
Journal of Algebra, 2002 14 ...
openaire +2 more sources
Logarithm laws for unipotent flows, Ⅱ
Journal of Modern Dynamics, 2009 We prove analogs of the logarithm laws of Sullivan and Kleinbock-Margulis in the context of unipotent flows. In particular, we prove results for horospherical actions on homogeneous spaces $G/Γ$. We describe some relations with multi-dimensional diophantine approximation.
Athreya, Jayadev S. +1 more
openaire +4 more sources
A short survey on observability
, 2018 The exploration of the notion of observability exhibits transparently the rich interplay between algebraic and geometric ideas in \emph{geometric invariant theory}.
Santos, Walter Ferrer
core
On right unipotent semigroups II [PDF]
Glasgow Mathematical Journal, 1978 We describe two congruences α and γ contained in ℒ on an arbitrary orthodox semigroup. Let S be a right unipotent semigroup. We show that (i) α is an inverse semigroup congruence and γ is the finest fundamental inverse semigroup congruence on S, (ii) S is a union of groups if and only if ℒ on S and (iii) S is a band of groups if and only if ℒ on S.
openaire +1 more source
Unipotent group actions: corrections
Journal of Pure and Applied Algebra, 1988 In a previous paper [ibid. 9, 195-206 (1977; Zbl 0358.14023), the author made wrong statements about the irreducibility of the fiber product of irreducible schemes. Some corrections of methods and results are done.
openaire +2 more sources
Supercharacter theories of type
Algebraic Combinatorics, 2018 Even with the introduction of supercharacter theories, the representation theory of many unipotent groups remains mysterious. This paper constructs a family of supercharacter theories for normal pattern groups in a way that exhibit many of the combinatorial properties of the set partition combinatorics of the full uni-triangular groups, including ...
openaire +4 more sources
Demonstratio Mathematica, 1991 An \(n\)-quasigroup \((G,f)\) is called unipotent if \(f(x,x,\dots,x) = f(y,y,\dots,y)\) for all \(x,y\in G\). Theorem. An \(n\)-groupoid \((G,f)\) is a unipotent \(n\)-group iff the groupoid \((G,\circ)\) defined by \(x\circ y = f(x,f(z,z,\dots,z),f(z,z,\dots,z),\dots,f(z,z,\dots,z),y)\) is a group of finite exponent dividing \(n\).
openaire +1 more source