Found 1,629 Documents (Results 1–100)
Notes on multiplier Hopf algebras and invariants of framed links and 3-manifolds. (English) Zbl 07926051
Twisting systems and some quantum \(\mathbb{P}^3\) s with point scheme a rank-2 quadric. (English) Zbl 07914951
Brown, K. A. (ed.) et al., Recent advances in noncommutative algebra and geometry. Conference on recent advances and new directions in the interplay of noncommutative algebra and geometry in honor of S. Paul Smith on the occasion of his 65th birthday, University of Washington, Seattle, WA, June 20–24, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 801, 243-254 (2024).
A primer on twists in the noncommutative realm focusing on algebra, representation theory, and geometry. (English) Zbl 07914949
Brown, K. A. (ed.) et al., Recent advances in noncommutative algebra and geometry. Conference on recent advances and new directions in the interplay of noncommutative algebra and geometry in honor of S. Paul Smith on the occasion of his 65th birthday, University of Washington, Seattle, WA, June 20–24, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 801, 179-194 (2024).
Deformations of gentle \(A_\infty\)-algebras. (English) Zbl 07914941
Brown, K. A. (ed.) et al., Recent advances in noncommutative algebra and geometry. Conference on recent advances and new directions in the interplay of noncommutative algebra and geometry in honor of S. Paul Smith on the occasion of his 65th birthday, University of Washington, Seattle, WA, June 20–24, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 801, 17-50 (2024).
Recent advances in noncommutative algebra and geometry. Conference on recent advances and new directions in the interplay of noncommutative algebra and geometry in honor of S. Paul Smith on the occasion of his 65th birthday, University of Washington, Seattle, WA, June 20–24, 2022. (English) Zbl 07913513
Contemporary Mathematics 801. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7239-9/pbk; 978-1-4704-7632-8/ebook). xxv, 259 p. (2024).
Kummer-Witt-Jackson algebras. (English) Zbl 07909507
The centre of the Dunkl total angular momentum algebra. (English) Zbl 07905965
Reviewer: Alexis Langlois-Rémillard (Bonn)
Semi-derived Ringel-Hall algebras and Hall algebras of odd-periodic relative derived categories. (English) Zbl 07903793
Noncommutative algebra and representation theory: symmetry, structure & invariants. (English) Zbl 07900716
Unrestricted quantum moduli algebras. II: Noetherianity and simple fraction rings at roots of 1. (English) Zbl 07878074
Affine Springer fibers, Procesi bundles, and Cherednik algebras. (English) Zbl 07858204
Reviewer: Alexis Langlois-Rémillard (Bonn)
Deformations and cohomology theory of \(\Omega\)-Rota-Baxter algebras of arbitrary weight. (English) Zbl 07851972
Differential operator approach to \(\imath\)quantum groups and their oscillator representations. (English) Zbl 07850968
A DG-enhancement of \(\mathrm{D}_{qc}(X)\) with applications in deformation theory. (English) Zbl 1539.14035
Reviewer: Emma Lepri (Glasgow)
Filtered deformations of commutative algebras of Krull dimension two. (English) Zbl 07846276
Reviewer: Aleksandr G. Aleksandrov (Moskva)
A note on cohomology of Clifford algebras. (English) Zbl 07840509
Reviewer: Yining Zhang (Singapura)
Free resolutions for free unitary quantum groups and universal cosovereign Hopf algebras. (English) Zbl 07830244
Deformation cohomology for cyclic groups acting on polynomial rings. (English) Zbl 1541.16011
Reviewer: Yining Zhang (Singapura)
Homotopy lifting maps on Hochschild cohomology and connections to deformation of algebras using reduction systems. (English) Zbl 1539.16005
Im, Mee Seong (ed.) et al., Algebraic and topological aspects of representation theory. Virtual AMS special session on geometric and algebraic aspects of quantum groups and related topics, virtual, November 20–21, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 791, 13-40 (2024).
Reviewer: Angela Gammella-Mathieu (Metz)
\(p\)-DG cyclotomic nilHecke algebras II. (English) Zbl 07807565
Memoirs of the American Mathematical Society 1463. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6872-9/pbk; 978-1-4704-7720-2/ebook). v, 106 p. (2024).
\(p\)-DG cyclotomic nilHecke algebras. (English) Zbl 07807564
Memoirs of the American Mathematical Society 1462. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6871-2/pbk; 978-1-4704-7719-6/ebook). v, 94 p. (2024).
Algebraic and topological aspects of representation theory. Virtual AMS special session on geometric and algebraic aspects of quantum groups and related topics, virtual, November 20–21, 2021. (English) Zbl 1531.17003
Contemporary Mathematics 791. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7034-0/pbk; 978-1-4704-7604-5/ebook). ix, 227 p. (2024).
A dichotomy between twisted tensor products of bialgebras and Frobenius algebras. (English) Zbl 07804806
The finite dual coalgebra as a quantization of the maximal spectrum. (English) Zbl 1540.14005
Reviewer: Be’eri Greenfeld (Ramat Gan)
Koszul duality, minimal model and \(L_\infty \)-structure for differential algebras with weight. (English) Zbl 07794567
Quasi-twilled associative algebras, deformation maps and their governing algebras. arXiv:2409.00443
Preprint, arXiv:2409.00443 [math.RA] (2024).
PBW-deformations of smash products involving Hopf algebra of Kac-Paljutkin type. arXiv:2408.16557
Preprint, arXiv:2408.16557 [math.RA] (2024).
\(\sigma\)-matching and interchangeable structures on certain associative algebras. arXiv:2407.18734
Preprint, arXiv:2407.18734 [math.RA] (2024).
Nijenhuis deformations of Poisson algebras and \(F\)-manifold algebras. arXiv:2403.18496
Preprint, arXiv:2403.18496 [math.RA] (2024).
Symplectic differential reduction algebras and skew-affine generalized Weyl algebras. arXiv:2403.15968
Preprint, arXiv:2403.15968 [math.RT] (2024).
Deformation families of Novikov bialgebras via differential antisymmetric infinitesimal bialgebras. arXiv:2402.16155
Preprint, arXiv:2402.16155 [math.QA] (2024).
On formal non-commutative deformations of smooth varieties. arXiv:2402.15685
Preprint, arXiv:2402.15685 [math.AG] (2024).
Maps between schematic semi-graded rings. arXiv:2401.15631
Preprint, arXiv:2401.15631 [math.AG] (2024).
Extended Rota-Baxter algebras, diagonally colored Delannoy paths and Hopf algebras. arXiv:2401.11363
Preprint, arXiv:2401.11363 [math.RA] (2024).
Whittaker modules over some generalized Weyl algebras. (English) Zbl 07787998
Reviewer: Mateusz Stroiński (Uppsala)
Relative Rota-Baxter Leibniz algebras, their characterization and cohomology. (English) Zbl 1542.17005
Relative Rota-Baxter operators of arbitrary weight on Leibniz algebras and post-Leibniz algebra structures. (English) Zbl 07773861
Reviewer: Ernest L. Stitzinger (Raleigh)
Some algebras having relations like those for the 4-dimensional Sklyanin algebras. (English) Zbl 1531.16020
Deformed Cartan matrices and generalized preprojective algebras. II: General type. (English) Zbl 1533.16024
Reviewer: Mee Seong Im (Annapolis)
BiHom-NS-algebras, twisted Rota-Baxter operators and generalized Nijenhuis operators. (English) Zbl 1541.17015
Reviewer: Hirokazu Nishimura (Tsukuba)
On the conjugation action for quantum general linear groups. (English) Zbl 1528.20090
Reviewer: Evgenii L. Bashkirov (Minsk)
Diassociative family algebras and averaging family operators. (English) Zbl 1531.16007
Reviewer: Loïc Foissy (Calais)
Cohomology and deformations of compatible Hom-Lie algebras. (English) Zbl 1533.17025
Reviewer: Yin Chen (Changchun)
Namikawa-Weyl groups of affinizations of smooth Nakajima quiver varieties. (English) Zbl 07730046
Reviewer: Mee Seong Im (Annapolis)
On the Goldman-Millson theorem for \(A_\infty\)-algebras in arbitrary characteristic. (English) Zbl 1533.18020
Reviewer: Donald Yau (Newark)
Operations on the Hochschild bicomplex of a diagram of algebras. (English) Zbl 1527.16012
Reviewer: Angela Gammella-Mathieu (Metz)
Cohomology and deformation theory for operad with higher derivation. (English) Zbl 1514.18018
Reviewer: Hirokazu Nishimura (Tsukuba)
Applications of Hochschild cohomology to the moduli of subalgebras of the full matrix ring. (English) Zbl 1532.16007
Reviewer: Angela Gammella-Mathieu (Metz)
Twists of rational Cherednik algebras. (English) Zbl 1529.16012
Reviewer: Alexis Langlois-Rémillard (Bonn)
Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms. (English) Zbl 1530.17017
Deformed Cartan matrices and generalized preprojective algebras. I: Finite type. (English) Zbl 1520.17023
Reviewer: Jan E. Grabowski (Lancaster)
Simple modules over \(\mathbb{K}_q [X,Y] \rtimes U^{\geq 0}_q (\mathfrak{sl}_2)\) and \(\mathbb{K}_q [X,Y] \rtimes U_q (\mathfrak{sl}_2)\) at root of unity. (English) Zbl 1533.16043
Trace densities and algebraic index theorems for sheaves of formal Cherednik algebras. (English) Zbl 1533.16028
Unitary representations of type B rational Cherednik algebras and crystal combinatorics. (English) Zbl 1518.16017
Reviewer: Mee Seong Im (Annapolis)
Strands algebras and the affine highest weight property for equivariant hypertoric categories. (English) Zbl 1504.14088
Reviewer: Mee Seong Im (Annapolis)
Deformations and cohomology theory of Rota-Baxter 3-Lie algebras of arbitrary weights. (English) Zbl 1506.17015
Reviewer: Yining Zhang (Singapore)
Automorphism groups of deformations and quantizations of Kleinian singularities. arXiv:2309.17350
Preprint, arXiv:2309.17350 [math.RA] (2023).
Hopf superalgebra structure for Drinfeld super Yangian of Lie superalgebra \(B(m,n)\). arXiv:2309.09735
Preprint, arXiv:2309.09735 [math.QA] (2023).
Maurer-Cartan equation for gentle algebras. arXiv:2309.02582
Preprint, arXiv:2309.02582 [math.RA] (2023).
Explicit Hochschild Cocycles for Gentle Algebras. arXiv:2308.09533
Preprint, arXiv:2308.09533 [math.RA] (2023).
The lowest discriminant ideal of a Cayley-Hamilton Hopf algebra. arXiv:2307.15477
Preprint, arXiv:2307.15477 [math.RT] (2023).
Origins of the Temperley-Lieb algebra: early history. arXiv:2307.11929
Preprint, arXiv:2307.11929 [math.CO] (2023).
Box operads and higher Gerstenhaber brackets. arXiv:2305.20036
Preprint, arXiv:2305.20036 [math.AT] (2023).
Cohomology of Hom-associative algebras in Loday-Pirashvili category with applications. arXiv:2304.13071
Preprint, arXiv:2304.13071 [math.RA] (2023).
Averaging algebras of any nonzero weight. arXiv:2304.12593
Preprint, arXiv:2304.12593 [math.RA] (2023).
Controlling structures, deformations and homotopy theory for averaging algebras. arXiv:2303.17798
Preprint, arXiv:2303.17798 [math.RA] (2023).
Noncommutative scheme theory and the Serre-Artin-Zhang-Verevkin theorem for semi-graded rings. arXiv:2301.07815
Preprint, arXiv:2301.07815 [math.AG] (2023).
Hall algebras and quantum symmetric pairs. I: Foundations. (English) Zbl 1532.17018
Reviewer: Lukas Bonfert (Bonn)
The \(L_\infty\)-deformations of associative Rota-Baxter algebras and homotopy Rota-Baxter operators. (English) Zbl 1508.17024
\( \mathcal{R}(p,q)\)-multivariate discrete probability distributions. (English) Zbl 1518.60020
Reviewer: Noureddine Daili (Sétif)
Cohomologies, extensions and deformations of differential algebras of arbitrary weight. (English) Zbl 1517.16007
Wreath Macdonald polynomials at \(q=t\) as characters of rational Cherednik algebras. (English) Zbl 1528.16017
Reviewer: Anna Lucia Rodriguez Rasmussen (Uppsala)
Affine Laumon spaces and a conjecture of Kuznetsov. (English. French summary) Zbl 1508.19006
The geometric classification of 2-step nilpotent algebras and applications. (English) Zbl 1521.17003
Reviewer: García Rosendo (Guanajuato)
Newton-Okounkov bodies for categories of modules over quiver Hecke algebras. (Corps de Newton-Okounkov pour des catégories de modules sur les algèbres de Hecke carquois.) (English. French summary) Zbl 1497.05266
Structure and isomorphisms of quantum generalized Heisenberg algebras. (English) Zbl 1515.16041
Reviewer: Aleksandr G. Aleksandrov (Moskva)
PBW-deformations of graded rings. (English) Zbl 1522.16035
Reviewer: Sorin Dascalescu (Bucureşti)
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