Found 886 Documents (Results 1–100)
Holonomic modules and 1-generation in the Jacobian conjecture. (Modules holonomes et 1-génération dans la conjecture Jacobienne.) (English. French summary) Zbl 07915247
Amitsur’s theorem, semicentral idempotents, and additively idempotent semirings. (English) Zbl 07903500
Noncommutative algebra and representation theory: symmetry, structure & invariants. (English) Zbl 07900716
Differential operator approach to \(\imath\)quantum groups and their oscillator representations. (English) Zbl 07850968
Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids. (English) Zbl 1536.53157
Reviewer: Hirokazu Nishimura (Tsukuba)
Minimization of differential equations and algebraic values of \(E\)-functions. (English) Zbl 07810339
Grothendieck rings of towers of generalized Weyl algebras in the finite orbit case. (English) Zbl 07787775
Reviewer: Jason Gaddis (Oxford, OH)
Vector bundles and connections on Riemann surfaces with projective structure. (English) Zbl 1524.14071
Reviewer: Ahmed Lesfari (El Jadida)
Representations of the Laurent series Rota-Baxter algebras and regular-singular decompositions. (English) Zbl 1537.16022
A note on the differential smoothness of skew PBW extensions. arXiv:2410.13967
Preprint, arXiv:2410.13967 [math.RA] (2024).
Smooth Geometry of Diffusion Algebras. arXiv:2410.12701
Preprint, arXiv:2410.12701 [math-ph] (2024).
Fibonacci Lie algebra revisited. arXiv:2410.08832
Preprint, arXiv:2410.08832 [math.RA] (2024).
Smooth geometry of skew PBW extensions over commutative polynomial rings I. arXiv:2409.18947
Preprint, arXiv:2409.18947 [math.QA] (2024).
Generalized symmetries of remarkable (1+2)-dimensional Fokker-Planck equation. arXiv:2409.10348
Preprint, arXiv:2409.10348 [math-ph] (2024).
Smooth geometry of bi-quadratic algebras on three generators with PBW basis. arXiv:2408.16648
Preprint, arXiv:2408.16648 [math.DG] (2024).
Adelic and Rational Grassmannians for finite dimensional algebras. arXiv:2408.04355
Preprint, arXiv:2408.04355 [math.CA] (2024).
The Pascal Matrix, Commuting Tridiagonal Operators and Fourier Algebras. arXiv:2407.21680
Preprint, arXiv:2407.21680 [math.SP] (2024).
\(\D\)-locally nilpotent algebras, their ideal structure and simplicity criteria. arXiv:2406.07569
Preprint, arXiv:2406.07569 [math.RA] (2024).
Twists of twisted generalized Weyl algebras. arXiv:2406.04172
Preprint, arXiv:2406.04172 [math.RA] (2024).
On the Tensor Property of Bernstein-Sato Polynomial. arXiv:2406.04121
Preprint, arXiv:2406.04121 [math.AG] (2024).
Monomial identities in the Weyl algebra. arXiv:2405.20492
Preprint, arXiv:2405.20492 [math.CO] (2024).
The ring of differential operators on a monomial curve is a Hopf algebroid. arXiv:2405.08490
Preprint, arXiv:2405.08490 [math.QA] (2024).
Generalizations of noncommutative Noether’s problem. arXiv:2405.03812
Preprint, arXiv:2405.03812 [math.RA] (2024).
Old and new powerful tools for the normal ordering problem and noncommutative binomials. arXiv:2405.03001
Preprint, arXiv:2405.03001 [math.CO] (2024).
Some algebras with trivial rings of differential operators. arXiv:2404.09184
Preprint, arXiv:2404.09184 [math.AC] (2024).
Multivariate Bernstein-type Polynomials of Finitely Generated D-Modules. arXiv:2404.02069
Preprint, arXiv:2404.02069 [math.AC] (2024).
Hilbert’s Irreducibility Theorem for Linear Differential Operators. arXiv:2403.13228
Preprint, arXiv:2403.13228 [math.RA] (2024).
The Fibonacci Lie algebra is not finitely presented. arXiv:2402.16098
Preprint, arXiv:2402.16098 [math.RA] (2024).
Number of homogeneous components of counterexamples to the Dixmier conjecture. arXiv:2402.11135
Preprint, arXiv:2402.11135 [math.RA] (2024).
Transmutations from the covariant transform on the Heisenberg group and an extended umbral principle. (English) Zbl 1542.43007
Whittaker modules over some generalized Weyl algebras. (English) Zbl 07787998
Reviewer: Mateusz Stroiński (Uppsala)
Invariants of formal pseudodifferential operator algebras and algebraic modular forms. (English) Zbl 1535.11058
Reviewer: İlker İnam (Bilecik)
Differential calculuses on group algebras. (English. Russian original) Zbl 1540.16036
Russ. Math. 67, No. 6, 77-81 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 6, 89-94 (2023).
Holonomic functions and prehomogeneous spaces. (English) Zbl 1522.14025
Reviewer: Christoph Koutschan (Linz)
Moduli spaces of vector bundles on a curve and opers. (English) Zbl 1528.14037
Reviewer: George H. Hitching (Oslo)
Non-unital Ore extensions. (English) Zbl 07704025
The Schur-Sato theory for quasi-elliptic rings. (English. Russian original) Zbl 1527.13031
Proc. Steklov Inst. Math. 320, 115-160 (2023); translation from Tr. Mat. Inst. Steklova 320, 128-176 (2023).
Reviewer: Aleksandr G. Aleksandrov (Moskva)
On centralizers in Azumaya domains. (English) Zbl 1520.14033
Reviewer: Francisco Castro-Jiménez (Sevilla)
Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras. (English) Zbl 1527.16021
Reviewer: Jebrel M. Habeb (Irbid)
Deformed Calogero-Moser operators and ideals of rational Cherednik algebras. (English) Zbl 1522.81128
Isomorphism problems and groups of automorphisms for Ore extensions \(K[x][y;\delta]\) (zero characteristic). (English) Zbl 1535.16036
On the tropicalization of \(D\)-ideals. (English) Zbl 1511.14107
Reviewer: Francisco Castro-Jiménez (Sevilla)
Fixed rings of twisted generalized Weyl algebras. (English) Zbl 1512.16035
Reviewer: Akaki Tikaradze (Toledo)
Rings of differential operators on singular generalized multi-cusp algebras. arXiv:2312.17303
Preprint, arXiv:2312.17303 [math.RA] (2023).
Classifications of prime ideals and simple modules of the quantum Weyl algebra \(A_1(q)\) (\(q\) is a root of unity). arXiv:2312.17302
Preprint, arXiv:2312.17302 [math.RA] (2023).
Symbols in Noncommutative Geometry. arXiv:2308.00835
Preprint, arXiv:2308.00835 [math.QA] (2023).
Foliations and Galois Theory in Positive Characteristic. arXiv:2307.11746
Preprint, arXiv:2307.11746 [math.AG] (2023).
Algebras of commuting differential operators for kernels of Airy type. (English) Zbl 07827905
Basor, Estelle (ed.) et al., Toeplitz operators and random matrices. In memory of Harold Widom. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 289, 229-256 (2022).
A note on the differential calculus of Hochschild theory for \(A_\infty\)-algebras. (English) Zbl 1516.16005
Correction to: “Effective algorithm for computing Noetherian operators of zero-dimensional ideals”. (English) Zbl 1521.13001
Effective algorithm for computing Noetherian operators of zero-dimensional ideals. (English) Zbl 1518.13001
Appl. Algebra Eng. Commun. Comput. 33, No. 6, 867-899 (2022); correction ibid. 33, No. 6, 901 (2022).
Bernstein-Sato functional equations, \(V\)-filtrations, and multiplier ideals of direct summands. (English) Zbl 1506.14037
Partial compactification of monopoles and metric asymptotics. (English) Zbl 1529.81118
Memoirs of the American Mathematical Society 1383. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5541-5/pbk; 978-1-4704-7283-2/ebook). vii, 110 p. (2022).
Reviewer: Fortuné Massamba (Pietermaritzburg)
Identities for subspaces of a parametric Weyl algebra. (English) Zbl 1528.16021
Reviewer: Victor Petrogradsky (Brasília)
An illustrated view of differential operators of a reduced quotient of an affine semigroup ring. (English) Zbl 1502.13063
Miller, Claudia (ed.) et al., Women in commutative algebra. Proceedings of the 2019 WICA workshop, Banff, Alberta, Canada, October 20–25, 2019. Cham: Springer. Assoc. Women Math. Ser. 29, 49-94 (2022).
Commuting elements in the first Weyl algebra over \(\mathbb{Q} \). (English. Russian original) Zbl 1499.14059
Sib. Math. J. 63, No. 5, 883-893 (2022); translation from Sib. Mat. Zh. 63, No. 5, 1052-1063 (2022).
Reviewer: Ahmed Lesfari (El Jadida)
On the isomorphism problem for the rings of differential operators on smooth affine varieties. (English) Zbl 1503.14056
Reviewer: Alexei Kanel-Belov (Ramat-Gan)
Idealizers in the second Weyl algebra. (English) Zbl 1527.16028
Reviewer: Alberto Castaño Domínguez (Sevilla)
On the properties of rings of integro-differential operators and their corresponding equations. (English. Russian original) Zbl 1510.47062
Math. Notes 112, No. 2, 303-308 (2022); translation from Mat. Zametki 112, No. 2, 291-297 (2022).
Reviewer: Leonid Berezansky (Be’er Sheva)
The Hopf algebroid structure of differentially recursive sequences. (English) Zbl 1508.12005
Reviewer: Alexander B. Levin (Washington)
Simplicity criteria for rings of differential operators. (English) Zbl 1502.13062
Reviewer: Devlin Mallory (Salt Lake City)
Clover nil restricted Lie algebras of quasi-linear growth. (English) Zbl 1510.17033
Reviewer: Ernest L. Stitzinger (Raleigh)
The noncommutative Noether’s problem is almost equivalent to the classical Noether’s problem. (English) Zbl 1515.16042
Reviewer: Małgorzata E. Hryniewicka (Białystok)
Calculus of multilinear differential operators, operator \(L_\infty\)-algebras and \(IBL_\infty\)-algebras. (English) Zbl 1491.18023
Identities for a parametric Weyl algebra over a ring. (English) Zbl 1514.16021
Reviewer: Matyas Domokos (Budapest)
The class of polynomial Stein operators for the Gaussian distribution: a noncommutative algebra perspective. arXiv:2212.07321
Preprint, arXiv:2212.07321 [math.PR] (2022).
Some progress in the Dixmier Conjecture. arXiv:2210.00257
Preprint, arXiv:2210.00257 [math.RA] (2022).
Jet Functors in Noncommutative Geometry. arXiv:2204.12401
Preprint, arXiv:2204.12401 [math.QA] (2022).
On some questions around Berest’s conjecture. arXiv:2203.13343
Preprint, arXiv:2203.13343 [math.AG] (2022).
MSC:
16S32
Bernstein-Sato polynomials in commutative algebra. (English) Zbl 1498.14042
Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 1-76 (2021).
Twisted exterior derivative for universal enveloping algebras \(\mathbf{I}\). (English) Zbl 1523.16028
Adamović, Dražen (ed.) et al., Lie groups, number theory, and vertex algebras. Representation theory XVI. Conference, Inter-University Center, Dubrovnik, Croatia, June 24–29, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 768, 305-319 (2021).
Gaudin models and multipoint conformal blocks. II: Comb channel vertices in 3D and 4D. (English) Zbl 1521.81288
Noether’s problems. (English) Zbl 1540.14031
Noether’s problems and How to see the eight Thurston geometries. Rio de Janeiro: Sociedade Brasileira de Matemática. Ensaios Mat. 37, 1-99 (2021).
Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra. (English) Zbl 1494.16008
Relative nonhomogeneous Koszul duality. (English) Zbl 1510.16001
Frontiers in Mathematics. Cham: Birkhäuser (ISBN 978-3-030-89539-6/pbk; 978-3-030-89540-2/ebook). xxix, 278 p. (2021).
Reviewer: Dmitry Artamonov (Moskva)
Rings of invariant differential operators on homogeneous cones and Capelli-type identities. (English) Zbl 1485.16021
Baklouti, Ali (ed.) et al., Geometric and harmonic analysis on homogeneous spaces and applications. TJC 2019, Djerba, Selected papers based on the presentations at the 6th Tunisian-Japanese conference. In honor of Professor Takaaki Nomura. Tunisia, December 15–19, 2019. Cham: Springer. Springer Proc. Math. Stat. 366, 197-215 (2021).
Actions of the additive group \(G_a\) on certain noncommutative deformations of the plane. (English) Zbl 1475.16030
Nil restricted Lie algebras of oscillating intermediate growth. (English) Zbl 1482.17043
Reviewer: Jebrel M. Habeb (Irbid)
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