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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
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
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
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
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
Journal Article
Tamkang Journal of Mathematics, ISSN 0049-2930, 06/2013, Volume 44, Issue 2, pp. 123 - 129
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
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
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
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
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
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
Journal Article
by Yang, T and Chen, Z and Zhou, XY
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
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
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
Journal Article
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