- bialgebra
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A particular form of vector space which is a compatible form of two algebras
Wikipedia foundation.
Wikipedia foundation.
Bialgebra — berührt die Spezialgebiete Mathematik Abstrakte Algebra Lineare Algebra Kommutative Algebra ist Spezialfall von Algebra Koalgebra umfasst als Spezialfälle … Deutsch Wikipedia
Bialgebra — In mathematics, a bialgebra over a field K is a structure which is both a unital associative algebra and a coalgebra over K , such that these structures are compatible.Compatibility means that the comultiplication and the counit are both unital… … Wikipedia
Quasi-bialgebra — In mathematics, quasi bialgebras are a generalization of bialgebras, which were defined by the Ukrainian mathematician Vladimir Drinfeld in 1990.A quasi bialgebra mathcal{B A} = (mathcal{A}, Delta, varepsilon, Phi) is an algebra mathcal{A} over a … Wikipedia
Lie bialgebra — In mathematics, a Lie bialgebra is the Lie theoretic case of a bialgebra: its a set with a Lie algebra and a Lie coalgebra structure which are compatible. It is a bialgebra where the comultiplication is skew symmetric and satisfies a dual Jacobi… … Wikipedia
Hopfalgebra — berührt die Spezialgebiete Mathematik Abstrakte Algebra Lineare Algebra Kommutative Algebra ist Spezialfall von Bialgebra Eine Hopf Algebra – benannt nach dem Math … Deutsch 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
Exterior algebra — In mathematics, the exterior product or wedge product of vectors is an algebraic construction generalizing certain features of the cross product to higher dimensions. Like the cross product, and the scalar triple product, the exterior product of… … Wikipedia
Hopf-Algebra — Hopfalgebra berührt die Spezialgebiete Mathematik Abstrakte Algebra Lineare Algebra Kommutative Algebra ist Spezialfall von Bialgebra Eine Hopf Algebra – benannt … Deutsch Wikipedia
Convolution — For the usage in formal language theory, see Convolution (computer science). Convolution of two square pulses: the resulting waveform is a triangular pulse. One of the functions (in this case g) is first reflected about τ = 0 and then offset by t … Wikipedia
Quantum group — In mathematics and theoretical physics, quantum groups are certain noncommutative algebras that first appeared in the theory of quantum integrable systems, and which were then formalized by Vladimir Drinfel d and Michio Jimbo. There is no single … Wikipedia