Found 269 Documents (Results 1–100)
Coideal subalgebras of pointed and connected Hopf algebras. (English) Zbl 07876031
Reviewer: Loïc Foissy (Calais)
Twisting Manin’s universal quantum groups and comodule algebras. (English) Zbl 07839373
Reviewer: Sonia Natale (Córdoba)
Radford \([n, (n, l)]\)-biproduct theorem for generalized Hom-crossed coproducts. (English) Zbl 07834092
On pointed Hopf algebras over nilpotent groups. (English) Zbl 1543.16025
Reviewer: Jörg Feldvoss (Mobile)
The cyclotomic double shuffle torsor in terms of Betti and de Rham coproducts. (English) Zbl 1542.11082
Reviewer: Sami Omar (Sukhair)
\( \lambda \)-TD algebras, generalized shuffle products and left counital Hopf algebras. (English) Zbl 07797227
Some graded Hopf-module pseudoalgebras. (English) Zbl 07787782
Reviewer: Liu Gongxiang (Nanjing)
Graded group actions and generalized \(H\)-actions compatible with gradings. (English) Zbl 1539.16032
Reviewer: Allan Berele (Chicago)
On the square of the antipode in a connected filtered Hopf algebra. (English) Zbl 07894539
Reviewer: Loïc Foissy (Calais)
Quantum jet bundles. (English) Zbl 1538.83040
Right-covariant differential calculus on Hopf superalgebra \(\mathbb{F}(\mathbb{C}_q^{2|1})\). (English) Zbl 1515.81158
\(V\)-universal Hopf algebras (co)acting on \(\Omega\)-algebras. (English) Zbl 1517.16027
Reviewer: Ramón González Rodríguez (Vigo)
On the identical relations of associative and Lie algebras equipped with an action. (English) Zbl 1510.16020
Reviewer: Allan Berele (Chicago)
Universal quantum semigroupoids. (English) Zbl 1511.16024
Reviewer: Luz Adriana Mejia Castaño (Barranquilla)
The structure of connected (graded) Hopf algebras revisited. (English) Zbl 1510.16029
Reviewer: Can Hatipoglu (Egaila)
Pointed Hopf actions on quantum generalized Weyl algebras. (English) Zbl 1497.16031
Reviewer: Yunnan Li (Guangzhou)
Double Ore extensions of Hopf algebras. (Chinese. English summary) Zbl 1513.16035
Hopf algebras arising from dg manifolds. (English) Zbl 1475.58003
Reviewer: Xuefeng Mao (Shanghai)
Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables. (English) Zbl 1466.05218
Quivers supporting twisted Calabi-Yau algebras. (English) Zbl 1492.16008
Reviewer: Serban Raianu (Carson)
Finite-dimensional Hopf algebras over the Hopf algebra \(H_{b:1}\) of Kashina. (English) Zbl 1464.16028
Reviewer: Jörg Feldvoss (Mobile)
Quantum differentials on cross product Hopf algebras. (English) Zbl 1464.16024
Reviewer: Dmitry Artamonov (Moskva)
MSC:
16T05
Hopf-algebraic techniques applied to super Lie groups over a complete field. (English) Zbl 1447.58002
Reviewer: Sonia Natale (Córdoba)
The structure of connected (graded) Hopf algebras. (English) Zbl 1452.16033
Reviewer: Loïc Foissy (Calais)
The Hopf algebra of integer binary relations. (English) Zbl 1457.16035
Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 1. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 31, 299-344 (2020).
Reviewer: Sorin Dascalescu (Bucureşti)
Leibniz conformal algebras of rank two. (English) Zbl 1486.17005
Reviewer: Christopher P. Bendel (Menomonie)
Kac-Paljutkin quantum group as a quantum subgroup of the quantum \(SU(2)\). (English) Zbl 1437.16025
Reviewer: Sonia Natale (Córdoba)
Operator algebras in India in the past decade. (English) Zbl 1444.46051
Indian J. Pure Appl. Math. 50, No. 3, 801-834 (2019); erratum ibid. 50, No. 4, 1147-1151 (2019).
Some extension groups between exponential functors. (Quelques groupes d’extensions entre foncteurs exponentiels.) (English. French summary) Zbl 1432.18010
Reviewer: Ramón González Rodríguez (Vigo)
Differential graded algebras over some reductive groups. (English) Zbl 1423.18028
MSC:
18D35
When Ext is a Batalin-Vilkovisky algebra. (English) Zbl 1408.18018
Reviewer: Gabriella Böhm (Budapest)
The Hopf algebra of (\(q\)-)multiple polylogarithms with non-positive arguments. (English) Zbl 1405.16042
Weak rigid monoidal category. (English) Zbl 1386.18024
MSC:
18D10
16T05
Representations of Khovanov-Lauda-Rouquier algebras. III: Symmetric affine type. (English) Zbl 1388.16041
Reviewer: Volodymyr Mazorchuk (Uppsala)
Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property. (English) Zbl 1370.16023
Bergen, Jeffrey (ed.) et al., Groups, rings, group rings, and Hopf algebras. International conference, Loyola University, Chicago, IL, USA, October 2–4, 2015 and AMS special session, Loyola University, Chicago, IL, USA, October 3–4, 2015. Held in honor of Donald S. Passman’s 75th birthday. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2805-1/pbk; 978-1-4704-4042-8/ebook). Contemporary Mathematics 688, 139-168 (2017).
Finite dimensional Hopf actions on deformation quantizations. (English) Zbl 1388.16033
Reviewer: Loïc Foissy (Calais)
Hopf dense Galois extensions with applications. (English) Zbl 1377.16027
Reviewer: Yang Shilin (Beijing)
Factorization algebras in quantum field theory. Volume 1. (English) Zbl 1377.81004
New Mathematical Monographs 31. Cambridge: Cambridge University Press (ISBN 978-1-107-16310-2/hbk; 978-1-00-900616-3/set; 978-1-316-67862-6/ebook). ix, 387 p. (2016).
Reviewer: Albert Sheu (Lawrence)
An example in the Singer category of algebras with coproducts at odd primes. (English) Zbl 1353.55010
Reviewer: Saïd Zarati (Tunis)
Finite dimensional Hopf actions on Weyl algebras. (English) Zbl 1356.16025
Reviewer: Vyacheslav A. Artamonov (Moskva)
Co-stability of radicals and its applications to PI-theory. (English) Zbl 1371.16035
Reviewer: Serban Raianu (Carson)
The Hopf algebra structure of the \(h\)-deformed \(Z_{3}\)-graded quantum supergroup \(\mathrm{GL}_{h,j}(1|1)\). (English) Zbl 1345.81064
Nakayama automorphisms of PBW deformations and Hopf actions. (English) Zbl 1347.16030
Reviewer: Vyacheslav A. Artamonov (Moskva)
A differential calculus on \(Z_3\)-graded quantum superspace \(\mathbb R_q(2| 1)\). (English) Zbl 1357.58006
Algebr. Represent. Theory 19, No. 3, 713-730 (2016); correction ibid. 25, No. 6, 1723 (2022).
A differential calculus on the \(\mathbb{Z}_3\)-graded quantum group \(\mathrm{GL}_q(2)\). (English) Zbl 1345.58005
A combinatorial Hopf algebra for nonlinear output feedback control systems. (English) Zbl 1341.93020
Hom-Gerstenhaber algebras up to homotopy. (Algèbres Hom-Gerstenhaber à homotopie près.) (French. English summary) Zbl 1430.16014
\(r_\infty\)-matrices, triangular \(L_\infty\)-bialgebras and quantum\(_\infty\) groups. (English) Zbl 1407.17015
Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 – July 5, 2014. Cham: Birkhäuser/Springer. Trends Math., 39-47 (2015).
Reviewer: Zhuo Chen (Beijing)
Invariant subrings and Jacobson radicals of Noetherian Hopf module algebras. (English) Zbl 1338.16038
Reviewer: Daniel Simson (Toruń)
On rigidity of Nichols algebras. (English) Zbl 1346.17010
Reviewer: Jörg Feldvoss (Mobile)
Fréchet quantum supergroups. (English) Zbl 1326.46056
Amitsur’s conjecture for polynomial \(H\)-identities of \(H\)-module Lie algebras. (English) Zbl 1354.17002
Properties of dual modules over Steenrod algebra. (Russian. English summary) Zbl 1321.55012
MSC:
55S10
Hopf actions on filtered regular algebras. (English) Zbl 1306.16026
Reviewer: Vyacheslav A. Artamonov (Moskva)
Hopf actions and Nakayama automorphisms. (English) Zbl 1315.16027
Reviewer: Małgorzata E. Hryniewicka (Białystok)
Hopfological algebra. (English) Zbl 1343.16010
Dynamical systems generated by linear maps. 2nd ed.; originally published by Academic Mind, Belgrade, 2012. (English) Zbl 1315.37001
Cham: Springer; Belgrade: Academic Mind (ISBN 978-3-319-08227-1/hbk; 978-3-319-08228-8/ebook). xii, 203 p. (2014).
Reviewer: Vladimir P. Kostov (Nice)
Hopf algebras, distributive (Laplace) pairings and hash products: a unified approach to tensor product decompositions of group characters. (English) Zbl 1300.16033
Reviewer: Loïc Foissy (Calais)
A two-parameter quantum \((2+1)\)-superspace and its deformed derivation algebra as Hopf superalgebra. (English) Zbl 1286.81116
Antipode and convolution powers of the identity in graded connected Hopf algebras. (English) Zbl 1294.05165
Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24–28, 2013. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 1053-1064, electronic only (2013).
Volume-preserving normal forms of Hopf-zero singularity. (English) Zbl 1283.34038
Reviewer: Jaume Giné (Lleida)
Natural endomorphisms of shuffle algebras. (English) Zbl 1298.16021
Reviewer: Jörg Feldvoss (Mobile)
Properties of pointed and connected Hopf algebras of finite Gelfand-Kirillov dimension. (English) Zbl 1365.16018
Reviewer: Zhang Liangyun (Nanjing)
Non-formal deformation quantization of abelian supergroups. (English) Zbl 1299.46076
Popescu, Ionel (ed.) et al., Progress in operator algebras, noncommutative geometry, and their applications. Proceedings of the 4th annual meeting of the European Noncommutative Geometry Network, Bucharest, Romania, April 25–30, 2011. Bucharest: The Theta Foundation (ISBN 978-606-8443-01-0). Theta Series in Advanced Mathematics 15, 61-73 (2012).
Topological applications of graded Frobenius \(n\)-homomorphisms. II. (English. Russian original) Zbl 1273.13002
Trans. Mosc. Math. Soc. 2012, 167-182 (2012); translation from Tr. Mosk. Mat. O.-va 73, No. 2, 207-228 (2012).
Reviewer: Simion Sorin Breaz (Cluj-Napoca)
The incidence Hopf algebra of graphs. (English) Zbl 1256.16020
Reviewer: Earl J. Taft (New Brunswick)
Two-parameter quantum supergroups of the Lie superalgebra \(\mathrm{osp}(1\vert 2n)\). (Chinese. English summary) Zbl 1533.17021
MSC:
17B37
Pre-Lie laws in interaction. (Lois pré-Lie en interaction.) (French) Zbl 1262.16036
Reviewer: Stefaan Caenepeel (Brussels)
Group \(C\)-rings and weak group algebra Galois coextensions. (English) Zbl 1234.16023
Reviewer: George Szeto (Peoria)
Relative PBW type theorems for symmetrically braided Hopf algebras. (English) Zbl 1237.16028
Reviewer: Sorin Dascalescu (Bucureşti)
A new action of the Kudo-Araki-May algebra on the dual of the symmetric algebras, with applications to the hit problem. (English) Zbl 1220.55009
Reviewer: Martin D. Crossley (Swansea)
Differential geometry of the \(\mathbb Z_3\)-graded quantum supergroup \(\mathrm{GL}_{q,j}(1|1)\). (English) Zbl 1266.58003
Power maps in algebra and topology. arXiv:1106.4787
Preprint, arXiv:1106.4787 [math.AT] (2011).
Monoidal functors, species and Hopf algebras. (English) Zbl 1209.18002
CRM Monograph Series 29. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4776-3/hbk). li, 784 p. (2010).
Reviewer: Hirokazu Nishimura (Tsukuba)
\((a,b)\)-algebras up to homotopy. (Les \((a,b)\)-algèbres à homotopie près.) (French) Zbl 1204.18007
Reviewer: Vesselin Drensky (Sofia)
Group gradings on the Lie algebra \(\mathfrak{psl}_n\) in positive characteristic. (English) Zbl 1185.17023
Reviewer: Alberto Elduque (Zaragoza)
Graded tensor products. (English) Zbl 1186.16013
Reviewer: Plamen Koshlukov (Campinas)
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