搜索结果: 16-30 共查到“知识库 李代数”相关记录78条 . 查询时间(3.409 秒)
We study algebras that are isotopic to Hurwitz algebras. Isomorphism classes of such algebras are shown to correspond to orbits of a certain group action. An explicit, geometrically
intutive descript...
In this paper, linear bases for the partially commutative Lie alge-bras are found. The method of the Gr¨obner–Shirshov bases is used.
Super duality and homology of unitarizable modules of Lie algebras
Super duality homology of unitarizable modules of Lie algebras
2011/1/18
The u-homology formulas for unitarizable modules at negative levels over classical Lie algebras of infinite rank of types gl(n), sp(2n) and so(2n) are obtained.As a consequence, we recover the Enright...
Given an element P(X1, . . . ,Xd) of the free Lie K-algebra Ld, for any Lie algebra g we can consider the induced polynomial map P : gd → g. Assuming that K is an arbitrary field of characteristic 6= ...
Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
Quantized Nambu-Poisson Manifolds 3-Lie Algebra Reduced Model
2011/3/2
We consider dimensional reduction of the Bagger-Lambert-Gustavsson theory to a zero-dimensional 3-Lie algebra model and construct various stable solutions corresponding to quantized Nambu-Poisson mani...
Finite $W$-superalgebras for queer Lie superalgebras and higher Sergeev duality
Finite $W$-superalgebras queer Lie superalgebras higher Sergeev duality
2011/1/20
We initiate and develop the theory of finite W-superalgebras W associated to the queer Lie superalgebra g = q(N) and a nilpotent linear func-tional ∈ g ¯0 . We show that the definition of th...
Spectral Invariance of Besov-Bessel Subalgebras
Banach algebra matrix algebra Besov spaces Bessel potential spaces
2011/2/21
Using principles of the theory of smoothness spaces we give systematic constructions of scales of inverse-closed subalgebras of a given Banach algebra with the action of a d-parameter automorphism gro...
Lie supergroups, unitary representations, and invariant cones
Lie supergroups unitary representations invariant cones
2011/1/21
The goal of this article is twofold. First, it presents an application of the theory of invariant convex cones of Lie algebras to the study of unitary rep-resentations of Lie supergroups. Second, it p...
We study ‘silting mutaion’ for self-injective algebras. In particular we focus on ‘tilting
mutation’ and show that iterated irreducible ‘silting mutation’ transitively act on the set of silting objec...
On the derivation algebra of the free Lie algebra and trace maps
derivation algebra free Lie algebra trace maps
2011/1/20
In this paper, we mainly study the derivation algebra of the free Lie algebra and the Chen Lie algebra generated by the abelianization H of a free group, and trace maps.
Cellular and quasihereditary structures of generalized quantized Schur algebras
Cellular quasihereditary structures generalized quantized Schur algebras
2011/3/1
We give a self-contained derivation of a new cellular basis of generalized quantized Schur algebras, independent of the theory of quantum groups.
Representation-theoretical Lie supergroups are introduced as supermanifolds with underlying
base manifold being the Lie group associated to the even part of a given Lie superalgebra.
Integrable invariant almost complex structures are introduced in the setting of Lie-Hopf
superalgebras. This leads to a convenient description of the subsheaf of holomorphic
superfunctions in the sh...
Did a 1-dimensional magnet detect a 248-dimensional Lie algebra?
1-dimensional magnet detect 248-dimensional Lie algebra
2011/2/28
About a year ago, a team of physicists reported in Science that they had observed \evidence for E8 symmetry" in the laboratory. This expository article is aimed at mathematicians and explains the chai...
We shall prove that a moduli space of flat irreducible Lie algebroid connections over a compact
manifold has locally a natural structure of a smooth differentiable space. This is a generaliza-tion of...