Found 71 Documents (Results 1–71)
On bialgebras, comodules, descent data and Thom spectra in \(\infty\)-categories. (English) Zbl 1535.16041
Reviewer: Mahender Singh (S.A.S. Nagar)
Weighted infinitesimal bialgebras. (Chinese. English summary) Zbl 1524.16048
Coherent categorical structures for Lie bialgebras, Manin triples, classical \(r\)-matrices and pre-Lie algebras. (English) Zbl 1500.17021
Reviewer: Alexander B. Levin (Washington)
Rota-Baxter paired comodules and Rota-Baxter paired Hopf modules. (English) Zbl 1503.16047
Reviewer: Serban Raianu (Torrance)
Weighted infinitesimal unitary bialgebras on free monoid algebras. (English) Zbl 1493.16054
Reviewer: William Woods (Essex)
Weighted infinitesimal unitary bialgebras of rooted forests, symmetric cocycles and pre-Lie algebras. (English) Zbl 1476.16041
Reviewer: Dmitry Artamonov (Moskva)
Rota-Baxter cosystems and coquasitriangular mixed bialgebras. (English) Zbl 1476.16030
Reviewer: Serban Raianu (Carson)
Dendriform-Nijenhuis bialgebras and DN-associative Yang-Baxter equations. (English) Zbl 1469.16085
Reviewer: Loïc Foissy (Calais)
Quasitriangular covariant monoidal BiHom-bialgebras, associative monoidal BiHom-Yang-Baxter equations and Rota-Baxter paired monoidal BiHom-modules. (English) Zbl 1465.16033
Reviewer: Dmitry Artamonov (Moskva)
\( \alpha \)-type Hochschild cohomology of Hom-associative algebras and bialgebras. (English) Zbl 1428.16010
Smash coproducts of monoidal comonads and Hom-entwining structures. (English) Zbl 1511.16031
Reviewer: J. N. Alonso Alvarez (Vigo)
Weighted infinitesimal unitary bialgebras, pre-Lie, matrix algebras, and polynomial algebras. (English) Zbl 1436.16043
Reviewer: Loïc Foissy (Calais)
Lie super-bialgebra structures on a class of generalized super \(W\)-algebra \(\mathfrak{L}\). (English) Zbl 1455.17022
Reviewer: Haibo Chen (Shanghai)
A review on comodule-bialgebras. (English) Zbl 1450.16023
Celledoni, Elena (ed.) et al., Computation and combinatorics in dynamics, stochastics and control. The Abel symposium, Rosendal, Norway, August 16–19, 2016. Selected papers. Cham: Springer. Abel Symp. 13, 579-597 (2018).
Reviewer: Loïc Foissy (Calais)
Invariant Poisson-Nijenhuis structures on Lie groups and classification. (English) Zbl 1400.37064
Reviewer: Marco Zambon (Madrid)
Dual Lie bialgebra structures of loop and current Virasoro algebras. (Chinese. English summary) Zbl 1487.17043
Rota-Baxter systems, dendriform algebras and covariant bialgebras. (English) Zbl 1376.16039
Reviewer: Gabriella Böhm (Budapest)
Compatible Lie bialgebras. (English) Zbl 1319.17009
The algebra of directed acyclic graphs. (English) Zbl 1264.18005
Coecke, Bob (ed.) et al., Computation, logic, games, and quantum foundations. The many facets of Samson Abramsky. Essays dedicated to Samson Abramsky on the occasion of his 60th birthday. Berlin: Springer (ISBN 978-3-642-38163-8/pbk). Lecture Notes in Computer Science 7860, 37-51 (2013).
Dirac Lie groups, Dirac homogeneous spaces and the theorem of Drinfeld. (English) Zbl 1242.53103
Reviewer: Angela Gammella-Mathieu (Metz)
Some naturally occurring examples of \(A_\infty \)-bialgebras. (English) Zbl 1252.18021
Reviewer: Daniel Tanré (Villeneuve d’ Ascq)
Quantization of Block type algebras. (Chinese. English summary) Zbl 1224.17029
On endomorphism algebras of separable monoidal functors. (English) Zbl 1171.18004
Reviewer: Alex Martsinkovsky (Boston)
MSC:
18D10
16W99
Quantization of Lie bialgebras. VI: Quantization of generalized Kac-Moody algebras. (English) Zbl 1191.17004
Reviewer: Olaf Ninnemann (Berlin)
A new Lie bialgebra structure on \(\mathrm{sl}(2,1)\). (English) Zbl 1155.17307
Benkart, Georgia (ed.) et al., Representations of algebraic groups, quantum groups, and Lie algebras. AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, July 11–15, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3924-1/pbk). Contemporary Mathematics 413, 101-122 (2006).
Introduction to linear bialgebra. (English) Zbl 1099.15013
Neutrosophic Book Series 8. Phoenix, AZ: Hexis (ISBN 1-931233-97-7/pbk). 238 p. (2005).
Reviewer: Józef Drewniak (Rzeszów)
Some algebraic applications of graded categorical group theory. (English) Zbl 1019.18004
Reviewer: Ladislav Bican (Praha)
Symplectic leaves of complex reductive Poisson-Lie groups. (English) Zbl 1031.17012
Reviewer: Sergio Console (Torino)
Classical \(r\)-matrices for the \(\text{osp}(2|2)\) Lie superalgebra. (English) Zbl 0998.17025
Reviewer: Earl J.Taft (New Brunswick)
Algebroids – general differential calculi on vector bundles. (English) Zbl 0954.17014
Reviewer: Martin Schlichenmaier (Mannheim)
Jordan bialgebras of symmetric elements and Lie bialgebras. (English. Russian original) Zbl 0903.17013
Sib. Math. J. 39, No. 2, 261-276 (1998); translation from Sib. Mat. Zh. 39, No. 2, 299-316 (1998).
Reviewer: A.P.Pozhidaev (Novosibirsk)
Making the category of Doi-Hopf modules into a braided monoidal category. (English) Zbl 0912.16016
Reviewer: Li Fang (Hangzhou)
Quantization of coset space \(\sigma\)-models coupled to two-dimensional gravity. (English) Zbl 0910.53051
Reviewer: A.Frydryszak (Wrocław)
Linearization of some Poisson-Lie tensor. (English) Zbl 0888.22006
Reviewer: A.A.Bogush (Minsk)
Manin triples for Lie bialgebroids. (English) Zbl 0885.58030
Reviewer: A.Weinstein (Berkeley)
Contractions of Poisson-Lie groups, Lie bialgebras and quantum deformations. (English) Zbl 0890.17003
Budzyński, Robert (ed.) et al., Quantum groups and quantum spaces. Lectures delivered during the minisemester, Warsaw, Poland, December 1, 1995. Warszawa: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 40, 261-271 (1997).
Reviewer: Hou Zixin (Tianjin)
Deformation of the Poisson-Lie structure in the \(\text{SU} (2)\) WZW model. (English) Zbl 0846.17015
A family of Hopf algebras coacting on \(k[x,y]/(xy)\). (English) Zbl 0786.16018
Reviewer: E.J.Taft (New Brunswick)
Algebra structures of Koszul complexes defined by Yang-Baxter operators. (English) Zbl 0748.17011
Reviewer: J.Vanžura (Brno)
The coendomorphism bialgebra of an algebra. (English) Zbl 0717.16030
Reviewer: B.Pareigis
On the Morava K-theories of \(SO(2n+1)\). (English) Zbl 0685.57025
Reviewer: V.K.Rao
Bialgebra structures on the Heisenberg algebra. (English) Zbl 0739.17003
Reviewer: M.Modugno (Firenze)
Quantization of Lie groups and Lie algebras. (English) Zbl 0677.17010
Algebraic analysis, Pap. Dedicated to Prof. Mikio Sato on the Occas. of his Sixtieth Birthday, Vol. 1, 129-139 (1989).
Reviewer: Helmut Boseck (Greifswald)
The Kostant structure theorems for K/k-Hopf algebras. (English) Zbl 0579.16005
Reviewer: E.J.Taft
Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of the classical Yang-Baxter equations. (English. Russian original) Zbl 0526.58017
Sov. Math., Dokl. 27, 68-71 (1983); translation from Dokl. Akad. Nauk SSSR 268, 285-287 (1983).
Induced representations of reductive \(p\)-adic groups. II: On irreducible representations of \(GL(n)\). (English) Zbl 0441.22014
MSC:
22E50
Bialgebras of type one. (English) Zbl 0408.16007
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