Results 91 to 100 of about 13,417,881 (325)
Algebraic Group Actions in the Cohomology Theory of Lie Algebras of Cartan Type
, 1996 Given a Lie algebra g of Cartan type we construct an infinite-dimensional cocommutative Hopf algebraD(G)u( g ) which is the analog of the distribution algebra of a connected reductive algebraic group. We show that the simpleu( g )-modules lift to aD(G)u(
Zongzhu Lin, D. Nakano
semanticscholar +1 more source
Australian Journal of Social Issues, Volume 60, Issue 1, Page 302-333, March 2025.Abstract Standardised tests of academic basic skills are an established feature of contemporary Australian schooling. Assessment results are widely reported and directly influence educational policymaking. Furthermore, Australian national educational priorities are linked to educational system accountability via the results of standardised tests. Given
Sally A. Larsen
wiley +1 more source
Drinfeld Orbifold Algebras [PDF]
arXiv, 2011 We define Drinfeld orbifold algebras as filtered algebras deforming the skew group algebra (semi-direct product) arising from the action of a finite group on a polynomial ring. They simultaneously generalize Weyl algebras, graded (or Drinfeld) Hecke algebras, rational Cherednik algebras, symplectic reflection algebras, and universal enveloping algebras
arxiv
The analytic structure of an algebraic quantum group [PDF]
arXiv, 1997 A. Van Daele introduced and investigated so-called algebraic quantum groups. We proved that such algebraic quantum groups give rise to C*-algebraic quantum groups in the sense of Masuda, Nakagami & Woronowicz. We prove in this paper that the analytic structure of these C*-algebraic quantum groups can be pulled down to the algebraic quantum group.
arxiv
A new method to solve MRHS equation systems and its connection to group factorization
Journal of Mathematical Cryptology, 2013 Multiple right-hand side (MRHS) equations over finite fields are a relatively new tool useful for algebraic cryptanalysis. The main advantage is in an efficient representation of the cryptographic primitives.
Zajac Pavol
doaj +1 more source
On an integer associated with an algebraic group
, 1977 $g$ lies in exp $\mathfrak{g}$ . In this note, we shall consider an algebraic group theoretic version of these results. Throughout the paper, $k$ will denote an algebraicaIly closed field (of characteristic $0$ or prime).
Morikuni Gotô
semanticscholar +1 more source
Generically multiple transitive algebraic group actions
, 2005 With every nontrivial connected algebraic group $G$ we associate a positive integer ${\rm gtd}(G)$ called the generic transitivity degree of $G$ and equal to the maximal $n$ such that there is a nontrivial action of $G$ on an irreducible algebraic ...
Popov, Vladimir L.
core +3 more sources
Prerequisite Relations Annotation Tool: Annotation and analysis of educational relations in texts
Journal of the Association for Information Science and Technology, EarlyView.Abstract Relations between terms in texts have long been studied in linguistics and specialized knowledge domains, especially when occurring in educational materials like textbooks, where they play a crucial role in guiding instructional design and learning.
Chiara Alzetta, Ilaria Torre
wiley +1 more source
Constructing algebraic groups from their Lie algebras [PDF]
arXiv, 2006 A connected algebraic group in characteristic 0 is uniquely determined by its Lie algebra. In this paper an algorithm is given for constructing an algebraic group in characteristic 0, given its Lie algebra. Using this an algorithm is presented for finding a maximal reductive subgroup and the unipotent radical of an algebraic group.
arxiv
Algebraic part of motivic cohomology with compact supports
, 2017 We define an algebraic part for a motivic cohomology group with compact supports of a smooth scheme over an algebraically closed field. This generalizes the classical notion of the algebraic part of a Chow group of a smooth proper variety. We then define
Kohrita, Tohru
core