Lie algebras
Generalized Serre relations for Lie algebras associated with positive unit forms
... semisimple Lie algebra defines a root system on the dual space of a Cartan subalgebra and a Cartan matrix, which expresses the dual of the Killing form on a root ...Semisimple Lie Algebras ...given ...
14
Joint spectrum for quasi solvable Lie algebras of operators
... dimensional Lie algebras of operators defined on X, we extend this joint spectrum to quasi-solvable Lie algebras of operators , and we prove the main spectral properties of the extended joint ...
9
On the Betti numbers of filiform Lie algebras over fields of characteristic two
... Lie algebras. The common usage of the term is to say that a nilpotent Lie algebra is filiform if it is of maximal ...for algebras over Z 2 as there are counter-examples showing that ...
12
A historical review of the classifications of Lie algebras
... nilpotent Lie algebras were obtained by using different ...nilpotent Lie algebras of dimension 8, and this same author, together with Kobotis and Koukouvinos [159], who dealt with those real ...
25
Associative and Lie algebras of quotients. Zero product determined matrix algebras
... consider Lie and associative algebras, and we will tacitly assume that all of them are algebras over a fixed commutative unital ring of scalars ...Φ. Lie algebras will be usually ...
182
Classification of real solvable Lie algebras whose simply connected Lie groups have only zero or maximal dimensional coadjoint orbits
... n-dimensional Lie algebras are MD-algebras, and moreover, they can be listed ...Diamond Lie algebra is the 3-dimensional Heisenberg Lie algebra which is non commutative and ...
25
Jordan elements in Lie algebras and inner ideals in the skew elements of prime rings with involution
... in Lie algebras, but unfortunately it is not known whether the Kostrikin radical, which is the nondegenerate radical in the Lie setting, is always the intersection of all strongly prime ...for ...
168
On I null lie algebras
... complex Lie algebras for which the Koszul 3-form is zero, and prove that it contains all quotients of Borel subalgebras, or of their nilradicals, of finite dimensional complex semisimple Lie ...
22
A classification of solvable quadratic and odd quadratic Lie superalgebras in low dimensions
... quadratic Lie algebras has appeared in many ...quadratic Lie algebras of dimension ≤ 7 in [FS87] following the classification of nilpotent O(n)-adjoint orbits of o(n) and recently of dimension ...
20
Estructura de los productos tensoriales de sl(2) n V (m)-módulos uniseriales
... For know better the classification of indecomposable modules a natural estrategy is to identify a class of indecomposable modules for which you can wait a reasonable classifi- cation. A important class is the of ...
128
On generalized Jordan prederivations and generalized prederivations of Lie color algebras
... Lie algebras and Lie superalgebras play important roles in many mathematical and physical subjects, ...of Lie theory corresponds to the study of symmetries into ...of Lie ...
13
From Finite Groups to Lie Groups
... n > 2, and more generally, to the finite subgroups of SU(2). These either are of the form ϕ −1 (G), for a finite subgroup G of SO(3), or are cyclic groups of odd order. For each finite subgroup of SU(2), one can ...
207
Prime ideals of skew PBW extensions
... Weyl algebras, enveloping algebras of finite-dimensional Lie algebras (and their quantizations), Artamonov quantum polynomials, diffusion algebras, and Manin algebra of quantum ...
17
16667347
... classical Lie algebras in prime characteristic are finite ab-root systems, then the men- tioned Winter theorem avoids the difficulties arising in these characteris- ...
15
QHWM of the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudo differential operators
... types Lie subalgebras of the Lie algebra of the matrix quantum pseudo-differential ...the Lie algebras of infinite matrices with finitely many nonzero diagonals and its classical Lie ...
36
16611895
... and Lie–Yamaguti ...anticommutative algebras ( m , ·) that will have appeared so ...their Lie algebras of derivations and Lie multiplication algebras will be ...these ...
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On the structure of split involutive Hom Lie color algebras
... of Lie color algebras was introduced as generalized Lie algebras in 1960 by Ree in ...the Lie color algebras from a purely mathematical point of view (see ...of algebras ...
17
Formal series and numerical integrators: some history and some new techniques
... B-series, word series, extended word series, Lie groups, Lie algebras, Hamil- tonian problems, averaging, normal forms, splitting algorithms, processing numerical methods, modified syste[r] ...
21
Drinfel’d doubles and Shapovalov determinants
... Hopf algebras [AS98], ...enveloping algebras of semisimple Lie algebras, where the deformation parameter is not a root of 1, and Lusztig’s (finite-dimensional) small quantum groups, see ...
40
Algebras de Clifford y Espinores
... Forma Final para las Álgebras de Clifford Reales de Dimensión Finita, .,~ >'.. Álgebras de Clifford..[r] ...
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