WebApr 11, 2011 · Fialowski A.: Deformations of Lie algebras. Math. USSR Sbornik 55(2), 467–473 (1986) Article MATH Google Scholar Fialowski, A.: An example of formal … WebApr 1, 2005 · In the deformation of type 2 they do the same for the Dirac structures but drop the triviality of the deformations of the double of the Lie bialgebroid. In both cases deformation of a Dirac structure D means the deformation of the Lie bialgebroid on which D is defined while D itself remains the same throughout [7].

Lie bialgebroid - Wikipedia

WebThe Grothendieck–Teichmul¨ ler group acts via Lie ∞-automorphisms on the deformation complex of both Lie-quasi bialgebroids and quasi-Lie bialgebroids. Hence, the deformation quantization problem for Lie-quasi bialgebroids differs from its Lie bialgebroid counterpart and resembles more closely the one for Lie bialgebras, i.e., it belongs to WebDec 16, 2015 · This shows also that by contrast to the even case the properad governing odd Lie bialgebras admits precisely one non-trivial automorphism - the standard … enhance search

A note on multi-oriented graph complexes and deformation …

WebAug 19, 1997 · It is shown that a quantum groupoid naturally gives rise to a Lie bialgebroid as a classical limit. The converse question, i.e., the quantization problem, is posed. In particular, any regular triangular Lie bialgebroid is shown quantizable. For the Lie bialgebroid of a Poisson manifold, its quantization is equivalent to a star-product. WebAny Lie bialgebroid is locally isomorphic, near m 2M, to a direct product of the standard Lie bialgebroid associated with the symplectic structure on the leaf through mand a ‘transverse’ Lie bialgebroid having mas a critical point. In full generality, our normal form theorems extend these results to neighborhoods of arbitrary transversals. WebProc. Indian Acad. Sci. (Math. Sci.) (2024) 129:12 Page 3 of 36 12 a compatibility condition (cf. Definition 6.2). Thus, given a Nambu–Poisson manifold M of order n > 2, we conclude that the pair (TM,T∗M)is a weak Lie–Filippov bialgebroid of order n on TM(cf. Corollary 6.4).A weak Lie–Filippov bialgebra of order n is a weak Lie–Filippov bialgebroid of … enhance semiconductor limited