Results 281 to 290 of about 32,895 (317)

ON GROUPING IN RELATIONAL ALGEBRA

International Journal of Foundations of Computer Science, 1999
The concept of grouping in relational algebra is well-known from its connection to aggregation. In this paper we generalize the grouping notion by defining a simultaneous grouping of more than one relation, and we discuss the application of operations on grouping elements other than just arithmetic aggregation.
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Algebraic Groups of Automorphisms of Nilpotent Groups and Lie Algebras

Journal of the London Mathematical Society, 1986
It is shown that every linear algebraic group over a field of characteristic zero arises as the group of automorphisms induced on the commutator quotient L/[L,L] of some nilpotent Lie algebra L. More precisely, let K be an algebraically closed field of characteristic zero and let k be a subfield of K.
Bryant, R. M., Groves, J. R. J.
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Cohomology of Lie Algebras and Algebraic Groups

American Journal of Mathematics, 1986
Let \({\mathcal G}\) be a simple, simply connected algebraic group defined and split over the finite field of p elements, let G be the points of \({\mathcal G}\) in an algebraically closed field k and \(G_ 1\) the scheme theoretic kernel of the Frobenius morphism from G to itself.
Friedlander, Eric M., Parshall, Brian J.
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Semilocal Group Algebras

Mathematical Notes, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Derivation Algebra in Noncommutative Group Algebras

Proceedings of the Steklov Institute of Mathematics, 2020
The paper udner review deals with the study, for a generally infinite non-commutative discrete group \(G\), of the derivation algebras in the group algebra of \(G\) in terms of characters on a groupoid associated with the group. Necessary conditions are obtained for a character to define a derivation.
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Stable Groups and Algebraic Groups

Journal of the London Mathematical Society, 2000
Let \(G\) be a stable, saturated group, \(p\) be the strong type of an element of \(G\), and \(\langle p\rangle\) be the smallest type-definable (over \(\text{acl}(\emptyset)\)) subgroup of \(G\) containing \(p^G\). By \textit{L. Newelski}'s theorem [Notre Dame J. Formal Logic 32, No.
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Homomorphisms of Lie Algebras of Algebraic Groups and Analytic Groups

Canadian Mathematical Bulletin, 1995
AbstractLet be a Lie algebra homomorphism from the Lie algebra of G to the Lie algebra of H in the following cases: (i) G and H are irreducible algebraic groups over an algebraically closed field of characteristic 0, or (ii) G and H are linear complex analytic groups.
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Derivations on Group Algebras

Proceedings of the London Mathematical Society, 2000
Let \(G\) be a locally compact group, \(L^1(G)\) the convolution algebra of integrable functions and \(M(G)\) the convolution algebra of regular Borel measures on \(G\). Convolution with \(L^1\)-functions makes \(M(G)\) an \(L^1(G)\)-bimodule. It is a natural question of whether every continuous derivation from \(L^1(G)\) into \(M(G)\) is an inner ...
Ghahramani, Fereidoun, Runde, Volker, Willis, George   +2 more
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The algebra of group kinship

Journal of Mathematical Psychology, 1969
Group theory and the theory of relations are used to study the kinship of certain kinds of primitive societies. It will be shown that these societies partition their members into classes that are permuted by the relations “class X has fathers (mothers) in class Y” so as to form a regular permutation group.
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