Etingof, E. Rains, Groups and Lie algebras corresponding to the Yang-Baxter equations, J. Algebra 305 (2) (2006) 742- 764.L. Bartholdi, B. Enriquez, P. Etingof and E. Rains, Groups and Lie Algebras corresponding to the Yang Baxter equations, math.RA/0509661....
Transformation GroupsQuantization of Lie bialgebras, part VI: quantization of generalized Kac-Moody algebras - Etingof, Kazhdan () Citation Context ...is ... P Etingof,D Kazhdan - 《Transformation Groups》 被引量: 514发表: 2000年 Lie Algebras and Lie Groups in Control Theory The theory of di...
作者: P Etingof 摘要: Integrals in quasi-Hopf algebras In particular, the notion of a monoidal category is thecategorification of the notion of a monoid. show that in a semigroup, the last condition is equivalentto the usual unit axiom 1 x = x 1 = x. ·· As usual in category theo...
2.4 Integration to groups Let g be a non-negatively graded Lie algebra and assume that the degree zero part g0 is contained in the center of g. Then, one can use the Baker-Campbell-Hausdorff formula to define a group law on g. We denote the corresponding group by G. It is convenient...
Pre-Lie algebras (also named left-symmetric algebras) are a class of non-associative alge- bras which first have been studied in the theory of affine manifolds, affine structures on Lie groups and convex homogeneous cones [4, 33, 38, 47] and then appeared in many fields in mathematics and...
modulesV(up to isomorphism) over any complex simple Lie algebras such that Spin0(V) is decomposably-generated in the sense of Panyushev [The exterior algebra and "Spin" of an orthogonal 𝔤-module,Trans. Groups6(2001) 371–396]. The case of simple Lie algebras of type A is discussed...
YANG-BAXTER EQUATIONINVARIANT AFFINE STRUCTURESLIE-GROUPSNOVIKOV ALGEBRASMATRIXPAIRSThe notion of non-abelian phase space of a Lie algebra was first formulated... Bai CM - 《Reviews in Mathematical Physics》 被引量: 0发表: 2006年 Representations of affine Lie algebras, ellipticr-matrix systems, an...
Keywords:DynamicalYang-Baxterequation,PoissonLiegroups,PoissonLiemanifolds. 1Introduction TheclassicaldynamicalYang-Baxterequation(CDYBE)isadifferentialequationwhich generalizesthealgebraicorordinaryclassicalYang-Baxterequation(CYBE)associatedwith anarbitraryLiealgebrag.ContrarytotheCYBE,asolutionofCDYBEisafunctionof ...
Etingof, E. Rains, Groups and Lie algebras corresponding to the Yang-Baxter equations, J. Algebra 305 (2) (2006) 742- 764.Bartholdi, L., Enriquez, B., Etingof, P., Rains, E.; Groups and Lie algebras corresponding to the Yang Baxter equations, J. Algebra 305 (2006) 742764....
These are expanded notes of a two-semester course on Lie groups and Lie algebras given by the author at MIT in 2020/2021. P Etingof - 《Group Theory for Physicists》 被引量: 0发表: 2019年 An Introduction to Lie Groups, Lie Algebras and their Representation Theory In this thesis, we giv...