Results 91 to 100 of about 2,773,140 (200)

Refined Dynkin Data for Nilpotent Elements

Advances in Mathematics, 1994
For a complex semisimple Lie group \(G\), whose Lie algebra \(\mathfrak g\) acts by vector fields on the flag variety \({\mathcal B} (G/B)\), the class \(\text{cl}_B(x)\) (Cartan algebra of \(\mathfrak g\)) of nilpotent elements \(x \in \mathfrak g\) with respect to the Borel subgroup \(B \in {\mathcal B}\) in \(G\) is defined and studied in detail ...
openaire   +2 more sources

Functional equations for zeta functions of groups and rings [PDF]

, 2010
We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for
Voll, C., Voll, Christopher
core   +1 more source

Shifted twisted Yangians and Slodowy slices in classical lie algebras

Forum of Mathematics, Sigma
In this paper we introduce the shifted twisted Yangian of type AI, following the work of Lu–Wang–Zhang, and we study their semiclassical limits, a class of Poisson algebras. We demonstrate that they coincide with the Dirac reductions of the semiclassical
Lukas Tappeiner, Lewis Topley
doaj   +1 more source

Reduced and irreducible simple algebraic extensions of commutative rings [PDF]

Mathematica Moravica, 2017
Let A be a commutative ring with identity and be an algebraic element over A. We give necessary and sufficient conditions under which the simple algebraic extension A[α] is without nilpotent or without idempotent elements.
Mihovski S.V.
doaj  

On nilpotent elements and locally nilpotent ideals

, 2017
經由2-primal ring及NI ring的拓撲結構，我們研究一種新的類型的環，滿足所有冪零元形成一個局部冪零理想，並稱之為NL ring。本文首先介紹NL ring的基本性質，接著研究NL ring和局部強質理想之間的關係，最後，探討NL ring下的拓樸結構。Motivated by 2-primal rings, NI rings and their associated topological structures, we consider a new class of rings, NL ...
李詔琦, Lee, Shao-Chi
core   +1 more source

ON THE NILPOTENT DOT PRODUCT GRAPH OF A COMMUTATIVE RING [PDF]

Journal of Algebraic Systems
Let $\mathscr{B}$ be a commutative ring with $1\neq 0$, $1\leq ...
Asma Ali, Bakhtiyar Ahmad
doaj   +1 more source

On the ideals of extended quasi-nilpotent Banach algebras

International Journal of Mathematics and Mathematical Sciences, 1991
Given a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to study the properties of elements which belong to a proper closed two sided ideal of A¯ and A¯¯. Here A¯ is the extension of A to a Banach Algebra with identity.
Morteza Seddighin
doaj   +1 more source

Quasi-Kahler Chern-flat manifolds and complex 2-step nilpotent Lie algebras [PDF]

, 2012
The study of quasi-Kaehler Chern-flat almost Hermitian manifolds is strictly related to the study of anti-bi-invariant almost complex Lie algebras.
Lauret, J., Di Scala, Antonio Jose', Vezzoni, L.   +2 more
core   +1 more source

On Generalized Periodic-Like Rings

International Journal of Mathematics and Mathematical Sciences, 2007
Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R generalized periodic-like if for all x∈R∖(N∪J∪Z) there exist positive integers m, n of opposite parity for which xm−xn∈N∩Z.
Howard E. Bell, Adil Yaqub
doaj   +1 more source

The classification of modular Lie superalgebras of type M

Open Mathematics, 2015
The natural filtration of the infinite-dimensional simple modular Lie superalgebra M over a field of characteristic p > 2 is proved to be invariant under automorphisms by discussing ad-nilpotent elements.
Ma Lili, Chen Liangyun
doaj   +1 more source