排序方式: 共有73条查询结果,搜索用时 296 毫秒
1.
We consider two classes of integrable nonlinear hyperbolic systems on Lie algebras. These systems generalize the principal chiral model. Each system is related to a pair of compatible Lie brackets and has a Lax representation, which is determined by the direct sum decomposition of the Lie algebra of Laurent series into the subalgebra of Taylor series and the complementary subalgebra corresponding to the pair. New examples of compatible Lie brackets are given. 相似文献
2.
3.
A. G. Pinus 《Siberian Mathematical Journal》2008,49(4):692-695
We find an elementary equivalence criterion for the lattices of subalgebras of free algebras in regular varieties. The question is addressed of elementary equivalence for the automorphism groups of algebras of this type. 相似文献
4.
Bárbara Pogorelsky 《代数通讯》2013,41(4):1181-1207
In this article we describe the right coideal subalgebras containing all group-like elements of the two-parameter quantum group U q (𝔤), where 𝔤 is a simple Lie algebra of type G 2, while the main parameter of quantization q is not a root of 1. As a consequence, we determine that there are precisely 60 different right coideal subalgebras containing all group-like elements. If the multiplicative order t of q is finite, t > 4, t ≠ 6, then the same classification remains valid for homogeneous right coideal subalgebras of the two-parameter version of the small Lusztig quantum group u q (𝔤). 相似文献
5.
6.
7.
In this article we prove that an algebraic Lie algebra over an algebraically closed field of characteristic 0 is complete if its Borel subalgebras are complete. Thus the study on complete Lie algebras may somewhat be reduced to that on solvable complete ones. 相似文献
8.
Maria V. Milentyeva 《代数通讯》2013,41(4):1141-1154
We obtain the functions that bound the dimensions of finite dimensional nilpotent associative or Lie algebras of class 2 over an algebraically closed field in terms of the dimensions of their commutative subalgebras. As a result, we also compute a similar function for complex nilpotent Lie groups of class 2. 相似文献
9.
10.