Results 11 to 20 of about 11,730 (186)

Jordan-Lie Inner Ideals of the Orthogonal Lie Algebras

Wasit Journal of Computer and Mathematics Science, 2022
Let  be an associative algebra over a field F of any characteristic with involution *  and let K=skew(A)={a in A|a*=-a} be its corresponding sub-algebra under the Lie product [a,b]=ab-ba for all a,b in A .
Falah Saad Kareem, Hasan M. Shlaka
doaj   +1 more source

KdV hierarchies and quantum Novikov's equations [PDF]

Open Communications in Nonlinear Mathematical Physics
This paper begins with a review of the well-known KdV hierarchy, the $N$-th Novikov equation, and its finite hierarchy in the classical commutative case. This finite hierarchy consists of $N$ compatible integrable polynomial dynamical systems in $\mathbb{
V. M. Buchstaber, A. V. Mikhailov
doaj   +1 more source

Continuity of homomorphisms on pro-nilpotent algebras [PDF]

, 2010
Let V be a variety of not necessarily associative algebras, and A an inverse limit of nilpotent algebras A_i\in V, such that some finitely generated subalgebra S \subseteq A is dense in A under the inverse limit of the discrete topologies on the A_i. A
Bergman, George M.
core   +2 more sources

Classification of finite dimensional irreducible modules over W-algebras [PDF]

, 2012
Finite W-algebras are certain associative algebras arising in Lie theory. Each W-algebra is constructed from a pair of a semisimple Lie algebra g (our base field is algebraically closed and of characteristic 0) and its nilpotent element e.
Bernstein, Bezrukavnikov, Brundan, Brundan, Carter, Collingwood, Dodd, Gabber, Garfinkle, Goodman, Ivan Losev, Joseph, Losev, Lusztig, Lusztig, Lusztig, McGovern, Ostrik, Victor Ostrik, Vinberg, Wang   +20 more
core   +1 more source

Gauge Theories on Open Lie Algebra Non-Commutative Spaces [PDF]

, 2002
It is shown that non-commutative spaces, which are quotients of associative algebras by ideals generated by non-linear relations of a particular type, admit extremely simple formulae for deformed or star products.
A. AGARWAL, Connes A., L. AKANT, Likierski J., Seiberg N.   +4 more
core   +2 more sources

Derived equivalence classification of symmetric algebras of polynomial growth [PDF]

, 2010
We complete the derived equivalence classification of all symmetric algebras of polynomial growth, by solving the subtle problem of distinguishing the standard and nonstandard nondomestic symmetric algebras of polynomial growth up to derived equivalence ...
Holm, Thorsten, Skowronski, Andrzej
core   +3 more sources

Lie algebraic characterization of manifolds [PDF]

, 2003
Results on characterization of manifolds in terms of certain Lie algebras growing on them, especially Lie algebras of differential operators, are reviewed and extended.
Grabowski, Janusz, Poncin, Norbert
core   +4 more sources

Outer partial actions and partial skew group rings [PDF]

, 2014
We extend the classicial notion of an outer action $\alpha$ of a group $G$ on a unital ring $A$ to the case when $\alpha$ is a partial action on ideals, all of which have local units.
Nystedt, Patrik, Öinert, Johan
core   +1 more source

Simple Rings and Degree Maps [PDF]

, 2013
For an extension A/B of neither necessarily associative nor necessarily unital rings, we investigate the connection between simplicity of A with a property that we call A-simplicity of B.
Nystedt, Patrik, Öinert, Johan
core   +1 more source

Lifting Grobner bases from the exterior algebra

, 2000
In the article "Non-commutative Grobner bases for commutative algebras", Eisenbud-Peeva-Sturmfels proved a number of results regarding Grobner bases and initial ideals of those ideals in the free associative algebra which contain the commutator ideal. We
Andreas Nilsson, Eisenbud D., Green M., Green M. L., Jan Snellman, Ufnarovskiĭ V. A.   +5 more
core   +3 more sources