# Lie algebras

### Generalized Serre relations for Lie algebras associated with positive unit forms

**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

**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

**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

**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

**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

**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

**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

**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

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

207

### Prime ideals of skew PBW extensions

**algebras**, enveloping

**algebras**of finite-dimensional

**Lie**

**algebras**(and their quantizations), Artamonov quantum polynomials, diffusion

**algebras**, and Manin algebra of quantum ...

17

### 16667347

**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

**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**...

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### 16611895

**Lie**–Yamaguti ...anticommutative

**algebras**( m , ·) that will have appeared so ...their

**Lie**

**algebras**of derivations and

**Lie**multiplication

**algebras**will be ...these ...

33

### On the structure of split involutive Hom Lie color algebras

**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

21

### Drinfel’d doubles and Shapovalov determinants

**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

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