affine quantum group造句

• affine quantum group    Replacing it with a trigonometric " R "-matrix, one arrives at affine quantum groups, defined in the same paper of Drinfeld. Modular representations of Hecke algebras and representations a...
• quantum affine algebra    Quasi-Hopf algebras form the basis of the study of Drinfeld twists and the representations in terms of quantum affine algebra. In the algebraic formulation, these are related to particular...
• quantum affine algebras    Quasi-Hopf algebras form the basis of the study of Drinfeld twists and the representations in terms of quantum affine algebra. In the algebraic formulation, these are related to particular...
• affine algebraic group    An affine algebraic group is called "'unipotent "'if all its elements are unipotent. In marked contrast to affine algebraic groups such as GL _ n ( k ), such groups are always commutative,...
• affine coxeter group    Two affine Coxeter groups can be multiplied together. The "'affine Coxeter groups "'form a second important series of Coxeter groups. In the case of affine Coxeter groups like, or, one mir...
• affine general linear group    The normalizer therefore has order " p " ?( " p "  " 1 ) and is known as a Frobenius group ( especially for ), and is the affine general linear group,. Birkhoff factorization follows from...
• affine group    The special affine group is a subgroup of the affine group. The special affine group is a subgroup of the affine group. Such transformations form a subgroup called the " equi-affine group"...
• affine group scheme    Any affine group scheme is the spectrum of a commutative Hopf algebra ( over a base " S ", this is given by the relative spectrum of an " O" Complete connected group schemes are in some se...
• affine weyl group    蒷ie Cartan shouwed that it is a fundamental domain for the affine Weyl group. Okamoto discovered that the parameter space of each Painlev?equation can be identified with the Cartan subalge...
• connected affine algebraic group    The "'Lang Steinberg theorem "'states that if " F " is surjective and has a finite number of fixed points, and " G " is a connected affine algebraic group over an algebraically closed fie...
• general affine group    Where the general affine group is not used, the special affine curvature " k " is sometimes also called the affine curvature. It is associated to a principal bundle AFX of affine frames in...
• group of affine transformations    An example of a non-unimodular group is the group of affine transformations This is a discrete cocompact group of affine transformations of space, but does not contain a subgroup "'Z "'3. ...
• special affine group    The special affine group is a subgroup of the affine group. That is, there is an action of the special affine group on triples of coordinates determines a mapping into the special affine g...
• institute for quantum optics and quantum information    The Institute for Quantum Optics and Quantum Information has announced the " Paul Ehrenfest best paper award for quantum foundations ". Zeilinger is professor of physics at the University ...
• compact quantum group    Locally compact quantum groups generalize Hopf algebras and carry a topology. The algebra of all continuous functions on a Lie group is a locally compact quantum group. A compact quantum g...
• locally compact quantum group    Locally compact quantum groups generalize Hopf algebras and carry a topology. The algebra of all continuous functions on a Lie group is a locally compact quantum group. From the definition...
• quantum aesthetics group    In 1999, the Quantum Aesthetics Group was founded. Later the "'Quantum Aesthetics Group "'arose, formed by novelists, poets, painters, photographers, film producers, models & Gregorio Mora...
• quantum group    The center of quantum group can be described by quantum determinant. Locally compact quantum groups generalize Hopf algebras and carry a topology. In general, a quantum group is some kind ...
• quantum group of funds    Soros'Quantum Group of Funds is worth $ 10 billion. It has evolved into the dlrs 20 billion Quantum Group of Funds, based in Curacao in the Netherlands Antilles. Robertson closed his Tiger...
• supersymmetry as a quantum group    "( from a physical perspective, the " V " + corresponds to a boson, while " V "  represents a fermion restricted by Pauli exclusion principle; an analogy that repeats when considering bra...
• affine    This description then tells us which properties are'affine '. The affine concept of parallelism forms an equivalence relation on lines. These are categorized as " Twisted affine " diagrams...
• affine action    where \ cdot is the affine action of the Weyl group. may exist only if \ mu and \ lambda are linked with an affine action of the Weyl group W of the Lie algebra \ mathfrak { g }.
• affine algebra    Quasi-Hopf algebras form the basis of the study of Drinfeld twists and the representations in terms of quantum affine algebra. In the algebraic formulation, these are related to particular...
• affine algebraic curve    In algebraic geometry, a "'plane affine algebraic curve "'defined over a field is the set of points of whose coordinates are zeros of some algebraically closed extension of.
• affine algebraic set    Affine varieties can be given a natural topology by declaring the closed sets to be precisely the affine algebraic sets. Like for affine algebraic sets, there is a bijection between the pr...