Arens-Michael envelopes of Jordanian Plane and Uq(sl(2))
The emergence of noncommutative geometry, its relationship with the corresponding selected algebra function. The establishment of the anti-equivalence between the category of spaces and the corresponding category of algebras of functions on such spaces.
Подобные документы
The Cartesian product of copies. The set of all nonnegative real numbers. The algebra of polar operators (poles). Definition of a binary operation. Polarized elements, extension of the algebra of poles to the whole plane. Classes of equivalence.
статья, добавлен 27.06.2016The order and lower order of an entire function. Using the Fourier series method to study the properties of subharmonic functions. The subharmonic function in the complex plane. The finite system of rays. The class of delta-subharmonic functions.
статья, добавлен 27.06.2016Arithmetic operations and properties of decimals, proportion and percents. Fundamental concepts of algebra, functions and graphs. The fundamental operations with complex numbers. Limits of function values, one-sided limits, infinitesimal functions.
учебное пособие, добавлен 11.10.2014Normed linear spaces and Banach spaces. Basic properties of inner-products. Best approximation and orthogonal projections. Compact operators on a Banach space. Boundary value problems. Dierential calculus in Banach spaces and the calculus of variations.
учебное пособие, добавлен 03.07.2013Characteristic of a Krull–Schmidt Theorem for nonassociative algebras. Definition of the upper annihilating series. Study of some families of nilpotent evolution algebras. Classification of four- and five-dimensional nilpotent evolution algebras.
статья, добавлен 24.01.2017Tiling of the limit space under the action of a (self-similar) subgroup. Self-similar groups and their limit spaces. Subgroup tilings of limit spaces. Tilings of limit spaces of abelian and nilpotent groups. Functional analysis to nilpotent Lie groups.
статья, добавлен 27.06.2016The uniqueness problem of meromorphic functions having the same pole sharing of a nite set with the aid of weighted sharing of sets we. Meromorphic functions in whole complex plane. Standard notations of the Nevanlinna theory of meromorphic functions.
статья, добавлен 27.06.2016The definition of real and complex vector spaces. The calculation of the reference type. Rules of addition and multiplication of scalars. The concept of subset. The direct sum of two subspaces. The calculation of the projection of the vector on the area.
презентация, добавлен 13.04.2016Obtaining a criterion of boundedness of L-index in direction for functions f(hz;mi). Finding sufficient conditions of boundedness L-index in direction for some class of entire functions with "plane" zeros. Proving existence theorems of entire function.
статья, добавлен 19.02.2016Description of combinatorial DG-Hopf color cooperadic models for configuration spaces of points in the first quarter and in the N-gon. The proof version of the formality theorem of Kontsevich to the two subspaces in the vector space and for the morphism.
курсовая работа, добавлен 27.08.2016Forgotten motives: varieties of scientific experience. Motives and homological algebra, physics. Early history of motives. Determination of the category of (pure) motives. Preservation algebraic-geometric objects, projective varieties over a Wark field.
статья, добавлен 12.07.2021- 12. Elliptic curves
Affine plane curves. A brief introduction to the p-adic numbers. Regular functions on projective curves. Plane projective cubic curves with a rational inflection point. Reduction of an elliptic curve. Cohomology of finite, infinite Galois groups.
учебное пособие, добавлен 03.07.2013 Normed linear spaces. Contraction mapping theorem. Applications to differential and integral equations. Linear transformations. Product spaces and Fubini's theorem. Projection and self-adjoint operators. Gram-Schmidt orthonormalization. Fourier analysis.
курс лекций, добавлен 03.07.2013A generalization of the classical theorem of T. Kato on similarity for sequences of projections in Hilbert spaces to the case of unconditional Schauder decompositions. Refinement of the theorem of V.N. Vizitei on the stability of Schauder decompositions.
статья, добавлен 30.10.2016Determining the extent of interpolated approximation spaces generated by regular elliptic operators on compact manifolds. Features and through the application of Jackson-Bernstein inequalities for spectral approximation regular elliptic operators.
статья, добавлен 25.03.2016Studies objects of geometric nature by means of some algebraic invariants defined over the category of these objects. Algebraic K-theory spectrum of DG-category. Definding the different versions of cyclic homology are via the mixed complex functor.
курсовая работа, добавлен 27.08.2016The problem of rationality of a generic cubic fourfold as one of the classic problems of birational geometry. Semiorthogonal decompositions, equivariant derived categories. Projective bundles, blow-ups and double coverings. The fano variety of lines.
контрольная работа, добавлен 26.08.2016The manual contains definitions, formulas, theorems of the differential calculus of functions of one variable. Derivative and its geometrical and physical meaning. Applying differential to approximate calculations. Extremum of function, the quotient rule.
учебное пособие, добавлен 11.10.2014The discussion about boolean algebras and their application to switching circuits. The rotation groups of the regular solids are investigated. New material on order of an element and cyclic groups, more details about the lattice of divisors of an integer.
учебное пособие, добавлен 11.10.2014Absolute value of a complex number, and conjugate complex number. Integral powers and roots of complex numbers. Taylor’s and Laurent’s theorems. Evaluation of integral of meromorphic function. Fundamental elementary functions of complex variables.
методичка, добавлен 11.10.2014Studying of the enumerative geometry of orbits of multidimensional toric action on projective algebraic varieties. Develop a new cyclic diferential-graded operad, conjecturally governing the real version of the enumerative geometry of these toric orbits.
статья, добавлен 30.07.2016Sums, floors and recurrences. Finite and infinite calculus. Hypergeometric functions and transformations. Special, exponential generating functions. Euler’s summation formula. Domino theory and change. Partial hypergeometric sums. Stirling numbers.
учебное пособие, добавлен 25.11.2013Ways of representation of functions of two variables. Partial increment and derivatives of the first order. Application of the total differential to approximate calculations. Description of the largest and smallest values of a function of two variables.
учебное пособие, добавлен 11.10.2014Combinatorial description. Teichmuller curves. Recurrence relation. Asymptotics of numbers of branched coverings of a torus, volumes of moduli spaces of holomorphic differentials. The character of the infinite wedge representation. Cylinder decomposition.
контрольная работа, добавлен 26.08.2016The calculation of fuzzy controllers, subject to the definition of control actions on the controller output for given membership functions. Algorithm Mumdanee for an indistinct conclusion. The linguistic rule of management of an indistinct regulator.
статья, добавлен 30.07.2016