Algebras and representation theory, ISSN 1572-9079, 2018, Volume 22, Issue 2, pp. 459 - 493

We introduce the notions of categorical integrals and categorical cointegrals of a finite tensor category C $\mathcal {C...

18D10 | Associative Rings and Algebras | Integrals of Hopf algebras | Non-associative Rings and Algebras | 16T05 | Commutative Rings and Algebras | Mathematics | Finite tensor category | Drinfeld center | TRACE | MATHEMATICS | ANTIPODE | HOPF | Olefins | Algebra

18D10 | Associative Rings and Algebras | Integrals of Hopf algebras | Non-associative Rings and Algebras | 16T05 | Commutative Rings and Algebras | Mathematics | Finite tensor category | Drinfeld center | TRACE | MATHEMATICS | ANTIPODE | HOPF | Olefins | Algebra

Journal Article

Journal of Algebra and its Applications, ISSN 0219-4988, 12/2016, Volume 15, Issue 10

In this paper, we show that total integrals and cointegrals are new sources of stable anti-Yetter-Drinfeld modules...

Representation theory | Hopf algebras | noncommutative geometry | YETTER-DRINFELD MODULES | MATHEMATICS | MATHEMATICS, APPLIED | HOPF-CYCLIC HOMOLOGY | COHOMOLOGY | COMODULE ALGEBRAS | GALOIS EXTENSIONS

Representation theory | Hopf algebras | noncommutative geometry | YETTER-DRINFELD MODULES | MATHEMATICS | MATHEMATICS, APPLIED | HOPF-CYCLIC HOMOLOGY | COHOMOLOGY | COMODULE ALGEBRAS | GALOIS EXTENSIONS

Journal Article

Arnold Mathematical Journal, ISSN 2199-6792, 11/2019, Volume 5, Issue 2, pp. 197 - 283

We define an integral form of shifted quantum affine algebras of type A and construct Poincaré–Birkhoff–Witt...

Shifted quantum affine algebras | PBWD bases | Drinfeld-Gavarini duality | Shifted Yangians | Evaluation homomorphism | Mathematics, general | Mathematics | Coulomb branch

Shifted quantum affine algebras | PBWD bases | Drinfeld-Gavarini duality | Shifted Yangians | Evaluation homomorphism | Mathematics, general | Mathematics | Coulomb branch

Journal Article

Journal of Number Theory, ISSN 0022-314X, 07/2014, Volume 140, pp. 93 - 121

We prove that in the backward orbit of a nonpreperiodic (nontorsion) point under the action of a Drinfeld module of generic characteristic there exist at most finitely many points S-integral with respect to another nonpreperiodic point...

Drinfeld modules | Heights | Ih's conjecture | Secondary | Primary | MATHEMATICS | EQUIDISTRIBUTION | TORSION POINTS | THEOREM | DYNAMICS | CANONICAL HEIGHTS | PERIODIC POINTS

Drinfeld modules | Heights | Ih's conjecture | Secondary | Primary | MATHEMATICS | EQUIDISTRIBUTION | TORSION POINTS | THEOREM | DYNAMICS | CANONICAL HEIGHTS | PERIODIC POINTS

Journal Article

Representation Theory, ISSN 1088-4165, 04/2005, Volume 9, Issue 12, pp. 354 - 384

Journal Article

International Journal of Number Theory, ISSN 1793-0421, 07/2019, Volume 15, Issue 6, pp. 1111 - 1125

... of ρ with infinite ρ T -orbit. For each n ≥ 1 , write the ideal ( ρ T n ( α ) ) = n n − 1 as a quotient of relatively prime integral ideals...

primitive divisor | Drinfeld module | arithmetic dynamics | height | MATHEMATICS | EQUIDISTRIBUTION | PRIMITIVE DIVISORS | LEHMER INEQUALITY | TORSION | CANONICAL HEIGHTS | MORDELL-WEIL THEOREM | INTEGRAL POINTS

primitive divisor | Drinfeld module | arithmetic dynamics | height | MATHEMATICS | EQUIDISTRIBUTION | PRIMITIVE DIVISORS | LEHMER INEQUALITY | TORSION | CANONICAL HEIGHTS | MORDELL-WEIL THEOREM | INTEGRAL POINTS

Journal Article

Tamkang Journal of Mathematics, ISSN 0049-2930, 06/2013, Volume 44, Issue 2, pp. 123 - 129

Journal Article

Results in physics, ISSN 2211-3797, 2018, Volume 11, pp. 1161 - 1171

In this research work, we applying the modification form of extended auxiliary equation mapping method on three couple system of nonlinear ovulation equations...

Whitham-Broer-Kaup equation | Exact traveling wave solutions | Solitary wave solutions | Modified extended auxiliary equation mapping method | Drinfel’d-Sokolow-Wilson equation | The (2 + 1)-dimensional Broer-Kaup-Kupershmit equation | Drinfel'd-Sokolow-Wilson equation | DRINFELD-SOKOLOV-WILSON | PHYSICS, MULTIDISCIPLINARY | MODULATION INSTABILITY ANALYSIS | MATERIALS SCIENCE, MULTIDISCIPLINARY | SCHRODINGERS EQUATION | OPTICAL SOLITONS | WHITHAM-BROER-KAUP | 1ST INTEGRAL METHOD | HIGHER-ORDER | The (2 + 1)-dimensional Broer-Kaup-Kupershmit equation | CONSERVATION-LAWS | BRIGHT

Whitham-Broer-Kaup equation | Exact traveling wave solutions | Solitary wave solutions | Modified extended auxiliary equation mapping method | Drinfel’d-Sokolow-Wilson equation | The (2 + 1)-dimensional Broer-Kaup-Kupershmit equation | Drinfel'd-Sokolow-Wilson equation | DRINFELD-SOKOLOV-WILSON | PHYSICS, MULTIDISCIPLINARY | MODULATION INSTABILITY ANALYSIS | MATERIALS SCIENCE, MULTIDISCIPLINARY | SCHRODINGERS EQUATION | OPTICAL SOLITONS | WHITHAM-BROER-KAUP | 1ST INTEGRAL METHOD | HIGHER-ORDER | The (2 + 1)-dimensional Broer-Kaup-Kupershmit equation | CONSERVATION-LAWS | BRIGHT

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 01/2015, Volume 56, Issue 1, p. 11706

We introduce a classical BRST complex (See Definition 3.2.) and show that one can construct a classical affine W-algebra via the complex. This definition...

SLODOWY SLICES | DRINFELD-SOKOLOV HIERARCHIES | POISSON VERTEX ALGEBRAS | PHYSICS, MATHEMATICAL | ENVELOPING-ALGEBRAS | Brackets | Polynomials | Algebra | INTEGRAL CALCULUS | POLYNOMIALS | REDUCTION | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA

SLODOWY SLICES | DRINFELD-SOKOLOV HIERARCHIES | POISSON VERTEX ALGEBRAS | PHYSICS, MATHEMATICAL | ENVELOPING-ALGEBRAS | Brackets | Polynomials | Algebra | INTEGRAL CALCULUS | POLYNOMIALS | REDUCTION | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA

Journal Article

Romanian Reports in Physics, ISSN 1221-1451, 2013, Volume 65, Issue 4, pp. 1155 - 1169

In this paper, the first integral method (FIM) is employed to solve the perturbed nonlinear Schrodinger's equation (NLSE...

Drinfeld-Sokolov system | NLSE with Kerr law nonlinearity | Klein-Gordon-Zakharov equations (KGZs) | The perturbed Klein-Gordon equation with local inductance and dissipation effect | Exact solutions | The first integral method (FIM) | KLEIN-GORDON EQUATION | PHYSICS, MULTIDISCIPLINARY | the first integral method (FIM) | SCHRODINGERS EQUATION | DE-VRIES EQUATION | (G'/G)-EXPANSION METHOD | TRAVELING-WAVE SOLUTIONS | NONTOPOLOGICAL SOLITONS | KERR LAW NONLINEARITY | EXP-FUNCTION METHOD | the perturbed Klein-Gordon equation with local inductance and dissipation effect | SOLITON PERTURBATION-THEORY | KDV EQUATION

Drinfeld-Sokolov system | NLSE with Kerr law nonlinearity | Klein-Gordon-Zakharov equations (KGZs) | The perturbed Klein-Gordon equation with local inductance and dissipation effect | Exact solutions | The first integral method (FIM) | KLEIN-GORDON EQUATION | PHYSICS, MULTIDISCIPLINARY | the first integral method (FIM) | SCHRODINGERS EQUATION | DE-VRIES EQUATION | (G'/G)-EXPANSION METHOD | TRAVELING-WAVE SOLUTIONS | NONTOPOLOGICAL SOLITONS | KERR LAW NONLINEARITY | EXP-FUNCTION METHOD | the perturbed Klein-Gordon equation with local inductance and dissipation effect | SOLITON PERTURBATION-THEORY | KDV EQUATION

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 09/2008, Volume 360, Issue 9, pp. 4863 - 4887

.... This gives rise to a Drinfeld module analog of a weak version of Siegel's integral points theorem over number fields and to an analog of a theorem of Schinzel's regarding...

Integers | Mathematical theorems | Algebra | Approximation | Julia sets | Polynomials | Logarithms | Coefficients | Diophantine sets | Diophantine approximation | Drinfeld module | Heights | MATHEMATICS | TORSION | ITERATION | HEIGHTS | THEOREM

Integers | Mathematical theorems | Algebra | Approximation | Julia sets | Polynomials | Logarithms | Coefficients | Diophantine sets | Diophantine approximation | Drinfeld module | Heights | MATHEMATICS | TORSION | ITERATION | HEIGHTS | THEOREM

Journal Article

11/2011

Knot theory is not generally considered an algebraic subject, due to the fact that knots don’t have much algebraic structure: there are a few operations...

finite type invariants | knotted trivalent graphs | Drinfeld associator | Kotsevich integral | 0405

finite type invariants | knotted trivalent graphs | Drinfeld associator | Kotsevich integral | 0405

Dissertation

Journal of number theory, ISSN 0022-314X, 2009, Volume 129, Issue 4, pp. 908 - 921

For positive integers α 1 , α 2 , … , α r with α r ⩾ 2 , the multiple zeta value or r-fold Euler sum is defined as ζ ( α ) : = ζ ( α 1 , α 2 , … , α r ) = ∑ 1...

Drinfeld integral | Multiple zeta value | Sum formula | MATHEMATICS | HARMONIC SERIES | EULER SUMS | EXPLICIT EVALUATION

Drinfeld integral | Multiple zeta value | Sum formula | MATHEMATICS | HARMONIC SERIES | EULER SUMS | EXPLICIT EVALUATION

Journal Article

Quantum Topology, ISSN 1663-487X, 2018, Volume 9, Issue 1, pp. 39 - 117

Using intersection and self-intersection of loops, Turaev introduced in the seventies two fundamental operations on the algebra Q[pi] of the fundamental group...

Surfaces | Loop operations | Braid groups | Kontsevich integral | Drinfeld associators | MATHEMATICS | braid groups | ALGEBRAS | QUANTUM SCIENCE & TECHNOLOGY | INTERSECTION | surfaces | INVARIANTS | TANGLES | MAPPING CLASS GROUP

Surfaces | Loop operations | Braid groups | Kontsevich integral | Drinfeld associators | MATHEMATICS | braid groups | ALGEBRAS | QUANTUM SCIENCE & TECHNOLOGY | INTERSECTION | surfaces | INVARIANTS | TANGLES | MAPPING CLASS GROUP

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 12/2012, Volume 62, Issue 12, pp. 2424 - 2442

Toda field theories are important integrable systems. They can be regarded as constrained WZNW models, and this viewpoint helps to give their explicit general...

Principal minors | Toda field theory | Leznov’s solutions | Drinfeld–Sokolov gauge | Iterated integrals | Drinfeld-Sokolov gauge | Leznov's solutions | MATHEMATICS, APPLIED | EQUATIONS | PHYSICS, MATHEMATICAL

Principal minors | Toda field theory | Leznov’s solutions | Drinfeld–Sokolov gauge | Iterated integrals | Drinfeld-Sokolov gauge | Leznov's solutions | MATHEMATICS, APPLIED | EQUATIONS | PHYSICS, MATHEMATICAL

Journal Article

COLLOQUIUM MATHEMATICUM, ISSN 0010-1354, 2019, Volume 157, Issue 2, pp. 279 - 293

This paper determines how the integral changes under a Drinfeld twist in multiplier Hopf algebras...

MATHEMATICS | Drinfeld twist | multiplier Hopf algebra | quasitriangular | integral

MATHEMATICS | Drinfeld twist | multiplier Hopf algebra | quasitriangular | integral

Journal Article

Advances in Mathematics, ISSN 0001-8708, 03/2013, Volume 236, pp. 158 - 223

For a semisimple factorizable Hopf algebra over a field of characteristic zero, we show that the value that an integral takes on the inverse...

Factorizable Hopf algebra | Drinfel’d element | Modular category | Gaussian sum | Modular data | Central charge | Drinfel'd element | FROBENIUS-SCHUR INDICATORS | REPRESENTATION | TENSOR CATEGORIES | SEMISIMPLE | INTEGRALS | MATHEMATICS | CONFORMAL FIELD-THEORY | QUASI-QUANTUM GROUPS | EXPONENT | CENTRAL INVARIANTS | Algebra

Factorizable Hopf algebra | Drinfel’d element | Modular category | Gaussian sum | Modular data | Central charge | Drinfel'd element | FROBENIUS-SCHUR INDICATORS | REPRESENTATION | TENSOR CATEGORIES | SEMISIMPLE | INTEGRALS | MATHEMATICS | CONFORMAL FIELD-THEORY | QUASI-QUANTUM GROUPS | EXPONENT | CENTRAL INVARIANTS | Algebra

Journal Article

Pacific Journal of Mathematics, ISSN 0030-8730, 06/2009, Volume 241, Issue 2, pp. 243 - 273

Journal Article

Filomat, ISSN 0354-5180, 2012, Volume 26, Issue 1, pp. 101 - 118

Journal Article

International Journal of Algebra and Computation, ISSN 0218-1967, 11/2013, Volume 23, Issue 7, pp. 1653 - 1683

...}$ be the Dedekind domain consisting of all those elements of K which are integral outside a fixed place ∞ of K...

Bruhat-Tits tree | Drinfeld modular group | amalgamated product | inseparable function field | isolated vertex | vertex stabilizer | MATHEMATICS | Trees | Algebra | Infinity | Integrals | Mathematical analysis | Graphs | Modular | Arithmetic

Bruhat-Tits tree | Drinfeld modular group | amalgamated product | inseparable function field | isolated vertex | vertex stabilizer | MATHEMATICS | Trees | Algebra | Infinity | Integrals | Mathematical analysis | Graphs | Modular | Arithmetic

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.