Lie algebra — In mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term… … Wikipedia
Quasi-Frobenius Lie algebra — In mathematics, a quasi Frobenius Lie algebra :(mathfrak{g}, [,,,,,,,] ,eta ) over a field k is a Lie algebra :(mathfrak{g}, [,,,,,,,] ) equipped with a nondegenerate skew symmetric bilinear form :eta : mathfrak{g} imesmathfrak{g} o k, which is … Wikipedia
Hopf algebra — In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously a (unital associative) algebra, a coalgebra, and has an antiautomorphism, with these structures compatible.Hopf algebras occur naturally in algebraic… … Wikipedia
Nichols algebra — The Nichols algebra of a braided vector space (with the braiding often induced by a finite group) is a braided Hopf algebra which is denoted by and named after the mathematician Warren Nichols. It takes the role of quantum Borel part of a pointed … Wikipedia
Homological algebra — is the branch of mathematics which studies homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology) and abstract… … Wikipedia
List of mathematics articles (Q) — NOTOC Q Q analog Q analysis Q derivative Q difference polynomial Q exponential Q factor Q Pochhammer symbol Q Q plot Q statistic Q systems Q test Q theta function Q Vandermonde identity Q.E.D. QED project QR algorithm QR decomposition Quadratic… … Wikipedia
Whitehead product — The Whitehead product is a graded quasi Lie algebra structure on the homotopy groups of a space. It was defined by J. H. C. Whitehead in an Annals of Mathematics paper from 1941. Given elements f in pi k(X), g in pi l(X), the Whitehead bracket :… … Wikipedia
Glossar mathematischer Attribute — Dieser Artikel wurde auf der Qualitätssicherungsseite des Portals Mathematik zur Löschung vorgeschlagen. Dies geschieht, um die Qualität der Artikel aus dem Themengebiet Mathematik auf ein akzeptables Niveau zu bringen. Dabei werden Artikel… … Deutsch Wikipedia
Séminaire Nicolas Bourbaki (1950–1959) — Continuation of the Séminaire Nicolas Bourbaki programme, for the 1950s. 1950/51 series *33 Armand Borel, Sous groupes compacts maximaux des groupes de Lie, d après Cartan, Iwasawa et Mostow (maximal compact subgroups) *34 Henri Cartan, Espaces… … Wikipedia
Weyl quantization — In mathematics and physics, in the area of quantum mechanics, Weyl quantization is a method for systematically associating a quantum mechanical Hermitian operator with a classical kernel function in phase space invertibly. A synonym is phase… … Wikipedia
