On generalized Jordan prederivations and generalized prederivations of Lie color algebras
نویسندگان
چکیده
منابع مشابه
Lie Algebra Prederivations and Strongly Nilpotent Lie Algebras
We study Lie algebra prederivations. A Lie algebra admitting a non-singular prederivation is nilpotent. We classify filiform Lie algebras admitting a non-singular prederivation but no non-singular derivation. We prove that any 4-step nilpotent Lie algebra admits a non-singular prederivation.
متن کاملA Poincaré-birkhoff-witt Theorem for Generalized Lie Color Algebras
A proof of Poincaré-Birkhoff-Witt theorem is given for a class of generalized Lie algebras closely related to the Gurevich S-Lie algebras. As concrete examples, we construct the positive (negative) parts of the quantized universal enveloping algebras of type An and Mp,q,ǫ(n, K), which is a nonstandard quantum deformation of GL(n). In particular, we get, for both algebras, a unified proof of the...
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولOctonions, G2 and generalized Lie 3-algebras
We construct an explicit example of a generalized Lie 3-algebra from the octonions. In combination with the result of [1], this gives rise to a three-dimensional N = 2 Chern-Simons-matter theory with exceptional gauge group G2 and with global symmetry SU(4) × U(1). This gives a possible candidate for the theory on multiple M2-branes with G2 gauge symmetry.
متن کاملGeneralized Derivation Tower Theorem of Lie algebras
We give an algorithm of decomposition for a finite-dimensional Lie algebra over a field of characteristic 0 permitting to generalize the derivation tower theorem of Lie algebras.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Revista de la Unión Matemática Argentina
سال: 2018
ISSN: 1669-9637,0041-6932
DOI: 10.33044/revuma.v59n2a13