Found 640 Documents (Results 1–100)
Braid group action and quasi-split affine \(\imath\,\)quantum groups. II: Higher rank. (English) Zbl 07868801
Twisting Manin’s universal quantum groups and comodule algebras. (English) Zbl 07839373
Reviewer: Sonia Natale (Córdoba)
On Bar-Natan-van der Veen’s perturbed Gaussians. (English) Zbl 1537.57021
Reviewer: Valeriano Aiello (Roma)
Tensor products of infinite dimensional modules in the BGG category of a quantized simple Lie algebra of type ADE. (English) Zbl 07822032
A dichotomy between twisted tensor products of bialgebras and Frobenius algebras. (English) Zbl 07804806
Descriptions of crystal \(\mathsf{B}(\lambda)\) for \(E_6\) and \(E_7\) types via tableaux and Kashiwara embedding. (English) Zbl 1532.17014
Poisson derivations of a semiclassical limit of a family of quantum second Weyl algebras. (English) Zbl 07787758
Reviewer: Aleksandr G. Aleksandrov (Moskva)
The centralizer construction and Yangian-type algebras. (English) Zbl 1536.17021
Reviewer: Slaven Kozic (Zagreb)
Central elements of the degenerate quantum general linear group. arXiv:2404.19239
Preprint, arXiv:2404.19239 [math.QA] (2024).
Extended Rota-Baxter algebras, diagonally colored Delannoy paths and Hopf algebras. arXiv:2401.11363
Preprint, arXiv:2401.11363 [math.RA] (2024).
Super-extensions of tensor algebras and their applications. arXiv:2401.01110
Preprint, arXiv:2401.01110 [math.RT] (2024).
Presenting Lusztig algebras. (English) Zbl 07795402
Whittaker modules over some generalized Weyl algebras. (English) Zbl 07787998
Reviewer: Mateusz Stroiński (Uppsala)
Differential operator realization of braid group action on \(\imath\)quantum groups. (English) Zbl 1531.17012
Annihilator ideals of simple modules of restricted quantized enveloping algebra. (English) Zbl 07770012
Convex PBW-type Lyndon bases and restricted two-parameter quantum group of type \(F_4\). (English) Zbl 1534.17014
Reviewer: Sonia Natale (Córdoba)
Ghost center and representations of the diagonal reduction algebra of \(\mathfrak{osp}(1 | 2)\). (English) Zbl 1517.17006
The \(R\)-matrix of the quantum toroidal algebra. (English) Zbl 1534.17018
Reviewer: Istvan Heckenberger (Marburg)
MSC:
17B37
General Capelli-type identities. arXiv:2307.14573
Preprint, arXiv:2307.14573 [math.QA] (2023).
A quantum categorification of the Alexander polynomial. (English) Zbl 1510.57014
Reviewer: Daniel Moskovich (Beer-Sheva)
Quasitriangular structures on the super-Yangian and quantum loop superalgebra, and difference equations. (English. Russian original) Zbl 1516.17016
Theor. Math. Phys. 213, No. 1, 1423-1440 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 129-148 (2022).
Spectra of Bethe subalgebras of \(Y(\mathfrak{gl}_n)\) in tame representations. (English) Zbl 1523.16041
A realization of the enveloping superalgebra \(\mathcal{U}_{\mathbb{Q}}(\widehat{\mathfrak{gl}}_{m|n})\). (English) Zbl 1527.17007
Reviewer: Wilberd van der Kallen (Utrecht)
\(p\)-deformation. (English) Zbl 1513.17010
The \(q\)-Onsager algebra and its alternating central extension. (English) Zbl 1495.17017
Reviewer: Takeo Kojima (Yonezawa)
Category \({\mathscr{C}}_{k}\) of multi-loop algebra representations versus modular representations: Questions of G. Lusztig. arXiv:2205.11556
Preprint, arXiv:2205.11556 [math.RT] (2022).
Enveloping algebras and geometric representation theory. Abstracts from the workshop held October 31 – November 6, 2021 (hybrid meeting). (English) Zbl 1506.00076
Gelfand-Tsetlin modules for \(\mathfrak{gl}(m|n)\). (English) Zbl 1496.17004
Reviewer: Mee Seong Im (Annapolis)
The alternating presentation of \(U_q(\widehat{gl_2})\) from Freidel-Maillet algebras. (English) Zbl 1490.81095
Poisson Dixmier-Moeglin equivalence from a topological point of view. (English) Zbl 1508.16032
Reviewer: Maxime Fairon (Glasgow)
Tensor-closed objects in the BGG category of a quantized semisimple Lie algebra. (English) Zbl 1471.17028
Reviewer: Volodymyr Mazorchuk (Uppsala)
The \(R\)-matrix of the quantum toroidal algebra \(U_{q,t}(\overset{..}{gl}_1)\) in the Fock module. (English) Zbl 1476.17006
Reviewer: Stepan Moskaliuk (Kyiv)
Homogeneous localizations of some quantum enveloping superalgebras. (English) Zbl 1470.17008
Reviewer: Jörg Feldvoss (Mobile)
Global crystal bases for integrable modules over a quantum symmetric pair of type AIII. (English) Zbl 1476.17009
Reviewer: Jörg Feldvoss (Mobile)
Ozsváth-Szabó bordered algebras and subquotients of category \(\mathcal{O} \). (English) Zbl 1460.57016
Reviewer: Dmitry Artamonov (Moskva)
Revisiting the Askey-Wilson algebra with the universal \(R\)-matrix of \(U_q(\mathfrak{sl}_2)\). (English) Zbl 1511.17029
Crystal basis theory for a quantum symmetric pair \((\mathbf{U},\mathbf{U}^{\iota })\). (English) Zbl 1465.17016
Reviewer: Jörg Feldvoss (Mobile)
Quantum Stiefel manifolds. (English) Zbl 1468.17025
Reviewer: Le Anh Vu (Ho Chi Minh City)
Quasitriangular coideal subalgebras of \(U_q(\mathfrak{g})\) in terms of generalized Satake diagrams. (English) Zbl 1504.17022
Reviewer: Jörg Feldvoss (Mobile)
MSC:
17B37
The quantum spaces of certain graded algebras related to \(\mathfrak{sl}(2, \Bbbk)\). (English) Zbl 1442.17016
Isomorphism between the \(R\)-matrix and Drinfeld presentations of quantum affine algebra: types \(B\) and \(D\). (English) Zbl 1495.17024
Non-extremal weight modules for quantized universal enveloping algebras. (English) Zbl 1464.17020
Reviewer: Sorin Dascalescu (Bucureşti)
Braided module categories via quantum symmetric pairs. (English) Zbl 1486.17026
Reviewer: Sorin Dascalescu (Bucureşti)
Symmetric pairs for Nichols algebras of diagonal type via star products. (English) Zbl 1473.17040
Reviewer: Sonia Natale (Córdoba)
Polynomial super representations of \(U_q^{\mathrm{res}}(\mathfrak{gl}_{m\mid n})\) at roots of unity. (English) Zbl 1472.17050
Classical Leonard pairs having LB-TD form. (English) Zbl 1437.15003
Reviewer: Janko Marovt (Maribor)
Modular finite \(W\)-algebras. (English) Zbl 1494.17005
Quantum linear Galois orders. (English) Zbl 1468.17020
Finite dimensional Hopf algebras over the Kac-Paljutkin algebra \(H_8\). (English) Zbl 1475.17026
Reviewer: Liu Gongxiang (Nanjing)
The Laurent extension of quantum plane: a complete list of \(U_q(\mathfrak{sl}_2)\)-symmetries. (English) Zbl 1418.81044
On the combinatorics of the universal enveloping algebra \(\widehat{U}_h(\mathfrak{sl}_2)\). (English) Zbl 1505.17010
Contravariant form on tensor product of highest weight modules. (English) Zbl 1454.17009
Reviewer: Jörg Feldvoss (Mobile)
Mixed quantum skew Howe duality and link invariants of type \(A\). (English) Zbl 1469.57013
Reviewer: Volodymyr Mazorchuk (Uppsala)
Enveloping algebras and geometric representation theory. Abstracts from the workshop held November 25 – December 1, 2018. (English) Zbl 1439.00067
Dual Kashiwara functions for the \(B(\infty)\) crystal. (English) Zbl 1459.17041
Kac, Victor G. (ed.) et al., Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. Cham: Birkhäuser. Prog. Math. 326, 201-233 (2018).
Combinatorial aspects of the quantized universal enveloping algebra of \(\mathfrak {sl}_{n+1}\). (English) Zbl 1403.05163
Highest weight theory for finite-dimensional graded algebras with triangular decomposition. (English) Zbl 1464.16042
Reviewer: Vesselin Drensky (Sofia)
Notes on formal deformations of quantum planes and universal enveloping algebras. arXiv:1812.00083
Preprint, arXiv:1812.00083 [math.RA] (2018).
Homological description of crystal structures on Lusztig’s quiver varieties. (English) Zbl 1405.17033
Rings of \(\mathbf h\)-deformed differential operators. (English. Russian original) Zbl 1382.16016
Theor. Math. Phys. 192, No. 2, 1218-1229 (2017); translation from Teor. Mat. Fiz. 192, No. 2, 322-334 (2017).
Gröbner-Shirshov basis of the universal enveloping Rota-Baxter algebra of a Lie algebra. (English) Zbl 1430.17013
A universal construction of universal deformation formulas, Drinfeld twists and their positivity. (English) Zbl 1425.17019
Maximally extended \(\mathfrak{sl}(2|2)\), \(q\)-deformed \(\mathfrak{d}(2,1;\epsilon)\) and 3D kappa-Poincaré. (English) Zbl 1371.81175
A categorification of the positive half of quantum \(gl(m|1)\). (English) Zbl 1388.16008
Reviewer: Pere Ara (Bellaterra)
Maximally extended \({\mathfrak{sl}}(2|2)\) as a quantum double. (English) Zbl 1357.81118
Reviewer: Jan E. Grabowski (Lancaster)
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