Results 21 to 30 of about 530,171 (149)
On Restricted Cohomology of Modular Classical Lie Algebras and Their Applications
Mathematics, 2022 In this paper, we study the restricted cohomology of Lie algebras of semisimple and simply connected algebraic groups in positive characteristics with coefficients in simple restricted modules and their applications in studying the connections between ...
Sherali S. Ibraev +2 more
doaj +1 more source
Linear free divisors and Frobenius manifolds [PDF]
, 2009 We study linear functions on fibrations whose central fibre is a linear free divisor. We analyse the Gauß–Manin system associated to these functions, and prove the existence of a primitive and homogenous form.
Mond, David +3 more
core +1 more source
The evolution of the spectrum of a Frobenius Lie algebra under deformation [PDF]
Communications in Algebra, 2021 The category of Frobenius Lie algebras is stable under deformation, and here we examine explicit infinitesimal deformations of four and six dimensional Frobenius Lie algebras with the goal of understanding if the spectrum of a Frobenius Lie algebra can evolve under deformation. It can.
Coll, Jr., Vincent E. +2 more
openaire +2 more sources
, 2014 In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases.
Saemann, Christian; id_orcid +3 more
core +1 more source
On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]
, 2004 The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Bowman, Kevin +2 more
core +4 more sources
On the cohomology of frobeniusian model Lie algebras [PDF]
form, 2004 Lie algebra model theory studies the closure \(\overline{{\mathcal O}(\lambda)}\) of the \(\text{Gl}_n({\mathbb C})\)-orbit in the variety \({\mathcal L}^n\) of Lie algebra laws of a law \(\lambda\) on \({\mathbb C}^n\) using nonstandard analysis. In this context, given a Lie algebra law \(\lambda\), a {contraction} of \(\lambda\) is a law \(\mu\) with
Ancochea Bermúdez, José María +1 more
openaire +1 more source
On Properties of Principal Elements of Frobenius Lie Algebras
Journal of Lie Theory, 2014 Latex, 16 pages. The last version appeared at Journal of Lie Theory. Keywords and phrases: Frobenius Lie algebra, affine Lie algebra, Left symmetric Lie algebra, affine motion, symplectic Lie algebra, seaweed Lie algebra, symplectic Lie group, invariant symplectic structure, invariant affine ...
Diatta, André, Manga, Bakary
openaire +3 more sources
Automorphic Lie algebras with dihedral symmetry [PDF]
, 2014 The concept of automorphic Lie algebras arises in the context of reduction groups introduced in the early 1980s in the field of integrable systems.
Sanders, Jan +10 more
core +1 more source
Heisenberg-Lie commutation relations in Banach algebras. [PDF]
, 2009 Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific ...
Laustsen, Niels Jakob +1 more
core +4 more sources
Meanders and Frobenius Seaweed Lie Algebras
Journal of Generalized Lie Theory and Applications, 2011 The index of a seaweed Lie algebra can be computed from its associated meander graph.We examine this graph in several ways with a goal of determining families of Frobenius (index zero) seaweed algebras. Our analysis gives two new families of Frobenius seaweed algebras as well as elementary proofs of known families of such Lie algebras.
Coll, Vincent +2 more
openaire +2 more sources