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Qu'est-ce (qui) est W-algebra - définition
W-algebra
ASSOCIATIVE ALGEBRA GENERALIZING THE VIRASORO ALGEBRA
W algebra; W symmetry; W-symmetry; Classical W-algebra; Finite W-algebra; Quantum W-algebra
In conformal field theory and representation theory, a W-algebra is an associative algebra that generalizes the Virasoro algebra. W-algebras were introduced by Alexander Zamolodchikov, and the name "W-algebra" comes from the fact that Zamolodchikov used the letter W for one of the elements of one of his examples.
Von Neumann algebra
UNITAL *-ALGEBRA OF BOUNDED OPERATORS ON A HILBERT SPACE CLOSED IN THE WEAK OPERATOR TOPOLOGY
W-star-algebra; Factor (functional analysis); Von Neumann algebras; Factor (von Neumann algebra); Factors (von Neumann algebra); Von neumann algebra; Von Neumann group algebra; Von Neuman algebra; W-*-algebra; Type I von Neumann algebra; W* algebra; W*-algebra; Operator ring; Ring of operators; Type I factor; Type II factor; Type III factor; Powers factor; Araki-Woods factor; W-* algebra; Krieger factor; W star algebra; VonNeumann algebra; Von-Neumann algebra; Neumann algebra; Noncommutative measure theory; Commutative von Neumann algebras; Real dimension of a von Neumann algebra; Correspondence (von Neumann algebra); Rings of operators; Commutative von Neumann algebra
In mathematics, a von Neumann algebra or W*-algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. It is a special type of C*-algebra.
*-algebra
ALGEBRA EQUIPPED WITH AN INVOLUTION OVER A *-RING
Star algebra; *-homomorphism; * algebra; Involution algebra; Involutive algebra; *-ring; Star-algebra; * ring; Involutory ring; Involutary ring; Star ring; *algebra; Involutive ring
In mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra) is a mathematical structure consisting of two involutive rings and , where is commutative and has the structure of an associative algebra over . Involutive algebras generalize the idea of a number system equipped with conjugation, for example the complex numbers and complex conjugation, matrices over the complex numbers and conjugate transpose, and linear operators over a Hilbert space and Hermitian adjoints.
