Campoamor-Stursberg, Rutwig; Carballal, Oscar; Herranz, Francisco J. A representation-theoretical approach to higher-dimensional Lie-Hamilton systems: the symplectic Lie algebra \(\mathfrak{sp}(4,\mathbb{R})\). (English) Zbl 07973461 Commun. Nonlinear Sci. Numer. Simul. 141, Article ID 108452, 28 p. (2025). MSC: 34A26 34C14 17B10 58A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kubo, Toshihisa; Ørsted, Bent On the intertwining differential operators from a line bundle to a vector bundle over the real projective space. (English) Zbl 07967053 Indag. Math., New Ser. 36, No. 1, 270-301 (2025). MSC: 14-XX 58-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beltiţă, Ingrid; Beltiţă, Daniel Continuous selection of Lagrangian subspaces. (English) Zbl 07929367 Linear Multilinear Algebra 72, No. 15, 2439-2465 (2024). Reviewer: Mee Seong Im (Baltimore) MSC: 53D12 17B30 15A69 37J37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fresse, Lucas; Mehdi, Salah Matrix formulas for multiplicities in the spin module. (English) Zbl 07900703 Commun. Math. 32, No. 1, Paper No. 16, 37 p. (2024). Reviewer: Serhii D. Koval (St. John’s) MSC: 17B10 15B30 15A66 05A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Galiullin, A.; Khoroshkin, S.; Lyachko, M. Zhelobenko-Stern formulas and \(B_n\) Toda wave functions. (English) Zbl 07880224 Lett. Math. Phys. 114, No. 3, Paper No. 77, 26 p. (2024). Reviewer: Danilo Latini (Roma) MSC: 33C80 33C90 37J35 37J37 37J38 17B80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lau, Michael Takiff algebras, Toda systems, and jet transformations. (English) Zbl 07874681 J. Algebra 655, 619-650 (2024). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B80 17B35 37J35 × Cite Format Result Cite Review PDF Full Text: DOI
Campoamor-Stursberg, Rutwig; Marquette, Ian Decomposition of enveloping algebras of simple Lie algebras and their related polynomial algebras. (English) Zbl 1542.16023 J. Lie Theory 34, No. 1, 17-40 (2024). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 16S30 17B25 17B35 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Fittouhi, Yasmine; Joseph, Anthony The canonical component of the nilfibre for parabolic adjoint action in type \(A\). (English) Zbl 07815463 J. Algebr. Comb. 59, No. 2, 523-559 (2024). Reviewer: Vesselin Drensky (Sofia) MSC: 17B45 17B08 17B20 15A72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aissa, T. Aït; Mansouri, M. W. Eight-dimensional symplectic non-solvable Lie algebras. (English) Zbl 1546.17004 Commun. Algebra 52, No. 3, 1196-1218 (2024). MSC: 17B05 17B60 17D25 53D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alev, Jacques; Dumas, François; Lecoutre, César Rational equivalence for enveloping algebras of three-dimensional Lie algebras. (English) Zbl 1548.16022 J. Pure Appl. Algebra 228, No. 4, Article ID 107504, 19 p. (2024). Reviewer: Nikolaos Papalexiou (Karlovassi) MSC: 16S30 16K40 16K20 16S36 17B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Cameron, Alex; Coll, Vincent E. jun.; Mayers, Nicholas; Russoniello, Nicholas A matrix theory introduction to seaweed algebras and their index. (English) Zbl 1546.17018 Expo. Math. 41, No. 4, Article ID 125509, 26 p. (2023). MSC: 17B20 05E16 × Cite Format Result Cite Review PDF Full Text: DOI
Baklouti, Ali; Fujiwara, Hidenori; Ludwig, Jean A proof of the polynomial conjecture for nilpotent Lie groups monomial representations. (English) Zbl 1542.22016 Trans. Am. Math. Soc. 376, No. 9, 6015-6032 (2023). Reviewer: Le Anh Vu (Ho Chi Minh City) MSC: 22E27 43A85 × Cite Format Result Cite Review PDF Full Text: DOI
Kunyavskiĭ, Boris; Ostapenko, Vadim Z. Tate-Shafarevich groups and algebras. (English) Zbl 1534.17020 Int. J. Algebra Comput. 33, No. 4, 819-836 (2023). MSC: 17B40 17B56 20J06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Campoamor-Stursberg, Rutwig; Latini, Danilo; Marquette, Ian; Zhang, Yao-Zhong Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras. (English) Zbl 1526.17046 J. Phys. A, Math. Theor. 56, No. 4, Article ID 045202, 27 p. (2023). MSC: 17B80 37K10 17B35 81R12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fittouhi, Yasmine; Joseph, Anthony Weierstrass sections for parabolic adjoint action in type \(A\). (English) Zbl 1536.17025 J. Algebra 618, 1-41 (2023). Reviewer: Vesselin Drensky (Sofia) MSC: 17B45 17B08 17B20 05E10 15A72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ginzburg, Victor; Kazhdan, David Differential operators on \(G/U\) and the Gelfand-Graev action. (English) Zbl 1515.22005 Adv. Math. 403, Article ID 108368, 48 p. (2022). MSC: 22E30 16S32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vilca Rodríguez, José L.; Schneider, Csaba; Usefi, Hamid The isomorphism problem for universal enveloping algebras of solvable Lie algebras. (English) Zbl 1547.17026 J. Algebra 603, 281-306 (2022). Reviewer: Samuel Chamberlin (Parkville) MSC: 17B35 17B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Campoamor-Stursberg, Rutwig; Marquette, Ian Quadratic algebras as commutants of algebraic Hamiltonians in the enveloping algebra of Schrödinger algebras. (English) Zbl 1487.17024 Ann. Phys. 437, Article ID 168694, 16 p. (2022). MSC: 17B35 37J35 81R12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alev, Jacques; Dumas, François Homogeneous localizations of some quantum enveloping superalgebras. (English) Zbl 1470.17008 J. Algebra Appl. 20, No. 1, Article ID 2140005, 25 p. (2021). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B35 17B70 17B20 16S85 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Fauquant-Millet, Florence Weierstrass sections for some truncated parabolic subalgebras. (English) Zbl 07347049 J. Algebra 580, 299-365 (2021). MSC: 16W22 17B22 17B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Campoamor-Stursberg, Rutwig; Marquette, Ian Hidden symmetry algebra and construction of quadratic algebras of superintegrable systems. (English) Zbl 1453.81037 Ann. Phys. 424, Article ID 168378, 19 p. (2021). MSC: 81R12 17B81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bambozzi, Federico; Murro, Simone On the uniqueness of invariant states. (English) Zbl 1453.81035 Adv. Math. 376, Article ID 107445, 38 p. (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 81R05 46L30 53D17 22E70 81R25 58J28 37A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cameron, Alex; Coll, Vincent E. jun.; Hyatt, Matt Combinatorial index formulas for Lie algebras of seaweed type. (English) Zbl 1484.17011 Commun. Algebra 48, No. 12, 5430-5454 (2020). MSC: 17B08 05E16 17B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ushirobira, Rosane; Korporal, Anja; Perruquetti, Wilfrid Algebraic estimation in partial derivatives systems: parameters and differentiation problems. (English) Zbl 1448.65021 Quadrat, Alban (ed.) et al., Algebraic and symbolic computation methods in dynamical systems. Based on articles written for the invited sessions of the 5th symposium on system structure and control, IFAC, Grenoble, France, February 4–6, 2013 and of the 21st international symposium on mathematical theory of networks and systems (MTNS 2014), Groningen, the Netherlands, July 7–11, 2014. Cham: Springer. Adv. Delays Dyn. 9, 183-200 (2020). MSC: 65D25 65D40 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Nazarov, Maxim Double Yangian and the universal \(R\)-matrix. (English) Zbl 1479.16033 Jpn. J. Math. (3) 15, No. 1, 169-221 (2020). Reviewer: Susama Agarwala (London) MSC: 16T20 17B37 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fauquant-Millet, Florence About polynomiality of the Poisson semicentre for parabolic subalgebras. (English) Zbl 1436.17019 Gorelik, Maria (ed.) et al., Representations and nilpotent orbits of Lie algebraic systems. In honour of the 75th birthday of Tony Joseph. Based on the 2017 conferences “Algebraic Modes of Representations”, Weizmann Institute of Science, Rehovot, Israel, July 16–18, 2017 and University of Haifa, Haifa, Israel, July 19–13, 2017. Cham: Birkhäuser. Prog. Math. 330, 91-110 (2019). MSC: 17B35 16W22 17B22 × Cite Format Result Cite Review PDF Full Text: DOI
Barbaresco, Frédéric Lie group machine learning and Gibbs density on Poincaré unit disk from Souriau Lie groups thermodynamics and \(\mathrm{SU}(1,1)\) coadjoint orbits. (English) Zbl 1458.70010 Nielsen, Frank (ed.) et al., Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11712, 157-170 (2019). MSC: 70G65 80A10 22E60 × Cite Format Result Cite Review PDF Full Text: DOI
Kubo, Toshihisa; Ørsted, Bent On the space of \(K\)-finite solutions to intertwining differential operators. (English) Zbl 1428.22014 Represent. Theory 23, 213-248 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E46 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vyatkina, K. A.; Panov, A. N. \(U\)-projectors and fields of \(U\)-invariants. (English. Russian original) Zbl 1473.17045 J. Math. Sci., New York 237, No. 2, 245-253 (2019); translation from Fundam. Prikl. Mat. 21, No. 2, 133-144 (2016). MSC: 17B45 20G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alexandre, Charles; Bordemann, Martin; Rivière, Salim; Wagemann, Friedrich Algebraic deformation quantization of Leibniz algebras. (English) Zbl 1472.17009 Commun. Algebra 46, No. 12, 5179-5201 (2018). MSC: 17A32 81S10 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Fauquant-Millet, Florence; Lamprou, Polyxeni Polynomiality for the Poisson centre of truncated maximal parabolic subalgebras. (English) Zbl 1452.17015 J. Lie Theory 28, No. 4, 1063-1094 (2018). Reviewer: Victor Petrogradsky (Brasília) MSC: 17B35 17B22 16W22 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Al-Kaabi, Mahdi J. Hasan; Manchon, Dominique; Patras, Frédéric Monomial bases and pre-Lie structure for free Lie algebras. (English) Zbl 1453.17019 J. Lie Theory 28, No. 4, 941-967 (2018). Reviewer: Leonid M. Martynov (Omsk) MSC: 17D25 17A50 17A61 17B01 05C05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Moreau, Anne A remark on Mishchenko-Fomenko algebras and regular sequences. (English) Zbl 1447.17010 Sel. Math., New Ser. 24, No. 3, 2651-2657 (2018). MSC: 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khoroshkin, S.; Ogievetsky, O. Contravariant form for reduction algebras. (English) Zbl 1441.22021 J. Geom. Phys. 129, 99-116 (2018). MSC: 22E40 17B35 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Nicolás, Pedro; Saorín, Manuel Generalized tilting theory. (English) Zbl 1396.18009 Appl. Categ. Struct. 26, No. 2, 309-368 (2018). Reviewer: Marek Golasiński (Olsztyn) MSC: 18E30 16D90 18C15 18E25 18G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vicedo, Benoît; Young, Charles Cyclotomic Gaudin models with irregular singularities. (English) Zbl 1376.82023 J. Geom. Phys. 121, 247-278 (2017). MSC: 82B23 17B20 81R10 81R12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Sadètov, S. T. Span of a DL-algebra. (English, Russian) Zbl 1427.17029 Dokl. Math. 95, No. 2, 178-180 (2017); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 473, No. 6, 643-645 (2017). MSC: 17B40 × Cite Format Result Cite Review PDF Full Text: DOI
Launois, Stéphane; Lecoutre, César Poisson deleting derivations algorithm and Poisson spectrum. (English) Zbl 1419.16020 Commun. Algebra 45, No. 3, 1294-1313 (2017). MSC: 16S36 16D60 17B63 20G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ushirobira, Rosane; Perruquetti, Wilfrid; Mboup, Mamadou An algebraic continuous time parameter estimation for a sum of sinusoidal waveform signals. (English) Zbl 1353.93111 Int. J. Adapt. Control Signal Process. 30, No. 12, 1689-1713 (2016). MSC: 93E10 93E12 94A12 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Chekmenev, Alexander; Grigoriev, Maxim Boundary values of mixed-symmetry massless fields in AdS space. (English) Zbl 1349.81136 Nucl. Phys., B 913, 769-791 (2016). MSC: 81T13 81T20 81T40 81R05 22E70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kurnyavko, O. L.; Shirokov, I. V. Construction of invariants of the coadjoint representation of Lie groups using linear algebra methods. (English. Russian original) Zbl 1352.22013 Theor. Math. Phys. 188, No. 1, 965-979 (2016); translation from Teor. Mat. Fiz. 188, No. 1, 3-19 (2016). Reviewer: Juan Núñez Valdés (Sevilla) MSC: 22E55 20G05 17B08 70H05 × Cite Format Result Cite Review PDF Full Text: DOI
Penkov, Ivan; Petukhov, Alexey Annihilators of highest weight \(\mathfrak{sl}(\infty)\)-modules. (English) Zbl 1402.17028 Transform. Groups 21, No. 3, 821-849 (2016). MSC: 17B65 17B10 17B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Vicedo, Benoît; Young, Charles Cyclotomic Gaudin models: construction and Bethe ansatz. (English) Zbl 1383.17016 Commun. Math. Phys. 343, No. 3, 971-1024 (2016). MSC: 17B80 17B67 37K30 17B20 82B23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Shalika, Joseph; Tschinkel, Yuri Height zeta functions of equivariant compactifications of unipotent groups. (English) Zbl 1417.14002 Commun. Pure Appl. Math. 69, No. 4, 693-733 (2016). MSC: 14G40 11G50 11M41 14G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Charbonnel, Jean-Yves; Moreau, Anne The symmetric invariants of centralizers and Slodowy grading. (English) Zbl 1371.17011 Math. Z. 282, No. 1-2, 273-339 (2016). MSC: 17B20 17B08 14L24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Maktouf, Khemais Character formula of representations associated with a closed orbit. (La formule du caractère des représentations associées à une orbite fermée.) (French. English summary) Zbl 1405.22024 Bull. Sci. Math. 139, No. 3, 301-336 (2015). MSC: 22E50 22E35 × Cite Format Result Cite Review PDF Full Text: DOI
Kori, Tosiaki; Imai, Yuto Lie algebra extensions of current algebras on \(S^{3}\). (English) Zbl 1327.81277 Int. J. Geom. Methods Mod. Phys. 12, No. 9, Article ID 1550087, 7 p. (2015). MSC: 81T40 81R10 17B65 17B67 22E67 17B22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chenevier, Gaëtan; Renard, David Level one algebraic cusp forms of classical groups of small rank. (English) Zbl 1376.11036 Mem. Am. Math. Soc. 1121, v, 122 p. (2015). MSC: 11F55 11F46 11F70 11F72 11F80 11G40 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Panov, A. N. Representations of Gelfand-Graev type for the unitriangular group. (English. Russian original) Zbl 1320.20045 J. Math. Sci., New York 206, No. 5, 570-582 (2015); translation from Fundam. Prikl. Mat. 18, No. 3, 161-178 (2013). MSC: 20G05 20G40 20C33 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coutinho, S. C. Nonholonomic modules over enveloping algebras of semisimple Lie algebras. (English) Zbl 1385.17007 J. Algebra 434, 153-168 (2015). Reviewer: Ernesto Spinelli (Roma) MSC: 17B35 16S32 37F75 × Cite Format Result Cite Review PDF Full Text: DOI
Molev, A. I.; Mukhin, E. E. Yangian characters and classical \(\mathcal W\)-algebras. (English) Zbl 1329.17025 Kohnen, Winfried (ed.) et al., Conformal field theory, automorphic forms and related topics. CFT 2011, Heidelberg, Germany, September 19–23, 2011. Berlin: Springer (ISBN 978-3-662-43830-5/hbk; 978-3-662-43831-2/ebook). Contributions in Mathematical and Computational Sciences 8, 287-334 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B68 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Michel, Jean-Philippe Higher symmetries of the Laplacian via quantization. (Symétries supérieures du laplacien par quantification.) (English. French summary) Zbl 1307.53076 Ann. Inst. Fourier 64, No. 4, 1581-1609 (2014). MSC: 53D55 58J10 53A30 70S10 17B08 53D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Topley, Lewis W. Invariants of centralisers in positive characteristic. (English) Zbl 1345.17013 J. Algebra 399, 1021-1050 (2014). MSC: 17B50 17B45 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Milev, Todor; Somberg, Petr The branching problem for generalized Verma modules, with application to the pair \((so(7), \operatorname{Lie}G_{2})\). (English) Zbl 1304.22017 J. Algebra Appl. 13, No. 7, Article ID 1450034, 32 p. (2014). Reviewer: Toshihisa Kubo (Tokyo) MSC: 22E47 17B10 17B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Premet, Alexander Multiplicity-free primitive ideals associated with rigid nilpotent orbits. (English) Zbl 1353.17009 Transform. Groups 19, No. 2, 569-641 (2014). Reviewer: Salvatore Siciliano (Lecce) MSC: 17B35 17B08 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sadetov, S. T. On LF-algebras. (English. Russian original) Zbl 1316.17018 Dokl. Math. 88, No. 3, 634-636 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 1, 17-19 (2013). MSC: 17B99 × Cite Format Result Cite Review PDF Full Text: DOI
Iorgov, N.; Molev, A. I.; Ragoucy, E. Casimir elements from the Brauer-Schur-Weyl duality. (English) Zbl 1355.17008 J. Algebra 387, 144-159 (2013). MSC: 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gurevich, Dimitri; Saponov, Pavel Braided algebras and their applications to noncommutative geometry. (English) Zbl 1292.17011 Adv. Appl. Math. 51, No. 2, 228-253 (2013). MSC: 17B37 16T25 17B35 58B34 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stukopin, V. A. Representations of the Yangian of a Lie superalgebra of type \(A(m,n)\). (English. Russian original) Zbl 1303.17013 Izv. Math. 77, No. 5, 1021-1043 (2013); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 5, 179-202 (2013). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B10 17B37 × Cite Format Result Cite Review PDF Full Text: DOI
Molev, A. I. Feigin-Frenkel center in types \(B\), \(C\) and \(D\). (English) Zbl 1266.17016 Invent. Math. 191, No. 1, 1-34 (2013). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tikaradze, Akaki On maximal primitive quotients of infinitesimal Cherednik algebras of \(\mathfrak{gl}_n\). (English) Zbl 1297.17008 J. Algebra 355, No. 1, 171-175 (2012). MSC: 17B35 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buchbinder, I. L.; Reshetnyak, A. General Lagrangian formulation for higher spin fields with arbitrary index symmetry. I. Bosonic fields. (English) Zbl 1246.81109 Nucl. Phys., B 862, No. 1, 270-326 (2012). MSC: 81T13 70S05 70S15 70H45 81T70 81R05 81R25 22E70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maktouf, Khemais Character formula and Plancherel formula for solvable almost connected Lie groups over a \(p\)-adic field. (La formule du caractère et la formule de Plancherel pour les groupes de Lie résolubles presque connexes sur un corps \(p\)-adique.) (French) Zbl 1232.22008 J. Funct. Anal. 262, No. 2, 500-536 (2012). Reviewer: L. N. Vaserstein (University Park) MSC: 22E35 × Cite Format Result Cite Review PDF Full Text: DOI
Manchon, Dominique; Saïdi, Abdellatif Pre-Lie laws in interaction. (Lois pré-Lie en interaction.) (French) Zbl 1262.16036 Commun. Algebra 39, No. 10, 3662-3680 (2011). Reviewer: Stefaan Caenepeel (Brussels) MSC: 16T30 16T05 05C05 17A30 17D25 18D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Premet, Alexander Commutative quotients of finite \(W\)-algebras. (English) Zbl 1241.17015 Adv. Math. 225, No. 1, 269-306 (2010). Reviewer: Jean-Marie Bois (Kiel) MSC: 17B35 17B63 17B81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Premet, Alexander Modular Lie algebras and the Gelfand-Kirillov conjecture. (English) Zbl 1209.17012 Invent. Math. 181, No. 2, 395-420 (2010). Reviewer: Nikolaos Papalexiou (Karlovassi) MSC: 17B35 17B20 17B50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grantcharov, Dimitar; Serganova, Vera Cuspidal representations of \(\mathfrak{sl}(n+1)\). (English) Zbl 1210.17011 Adv. Math. 224, No. 4, 1517-1547 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 17B10 16G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zorin, A. A. Commutativity of the centralizer of a subalgebra in a universal enveloping algebra. (English. Russian original) Zbl 1271.17006 Funct. Anal. Appl. 43, No. 2, 119-131 (2009); translation from Funkts. Anal. Prilozh. 43, No. 2, 47-63 (2009). MSC: 17B35 × Cite Format Result Cite Review PDF Full Text: DOI
Jackson, Steven Glenn; Noël, Alfred G. A new approach to computing generators for \(\mathcal U(\mathfrak g)^K\). (English) Zbl 1250.17022 J. Algebra 322, No. 8, 2607-2620 (2009). MSC: 17B35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yan; Meng, Daoji Dipolarizations in Kac-Moody algebras. (English) Zbl 1228.17021 Algebra Colloq. 16, No. 4, 669-676 (2009). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17B67 × Cite Format Result Cite Review PDF Full Text: DOI Link
Dosiev, Anar Local left invertibility for operator tuples and noncommutative localizations. (English) Zbl 1185.46048 J. \(K\)-Theory 4, No. 1, 163-191 (2009). MSC: 46M18 16L30 46H30 18F25 16S30 18G25 × Cite Format Result Cite Review PDF Full Text: DOI
Frønsdal, Christian Deformation quantization on the closure of minimal coadjoint orbits. (English) Zbl 1197.53118 Lett. Math. Phys. 88, No. 1-3, 271-320 (2009). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D50 53D10 × Cite Format Result Cite Review PDF Full Text: DOI
Burdík, Č.; Navrátil, O.; Pošta, S. The adjoint representation of quantum algebra \(U_q(\mathrm{sl}(2))\). (English) Zbl 1166.81337 J. Nonlinear Math. Phys. 16, No. 1, 63-75 (2009). MSC: 81R50 17B37 22E70 × Cite Format Result Cite Review PDF Full Text: DOI
Panov, A. N. Involutions in \(S_n\) and associated coadjoint orbits. (English. Russian original) Zbl 1288.22007 J. Math. Sci., New York 151, No. 3, 3018-3031 (2008); translation from Zap. Nauchn. Semin. POMI 349, 150-173 (2007). MSC: 22E25 17B08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
de Graaf, Willem A. Computing with nilpotent orbits in simple Lie algebras of exceptional type. (English) Zbl 1222.17003 LMS J. Comput. Math. 11, 280-297 (2008). MSC: 17-08 17B08 17B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manchon, Dominique Hopf algebras in renormalisation. (English) Zbl 1215.81071 Hazewinkel, M. (ed.), Handbook of algebra. Volume 5. Amsterdam: Elsevier/Noth-Holland (ISBN 978-0-444-53101-8/hbk). Handbook of Algebra 5, 365-427 (2008). Reviewer: Florin Nicolae (Berlin) MSC: 81T15 16T05 81Q30 81T18 81-02 × Cite Format Result Cite Review PDF Full Text: DOI
Joseph, Anthony Slices for biparabolic coadjoint actions in type A. (English) Zbl 1151.17004 J. Algebra 319, No. 12, 5060-5100 (2008). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 17B20 × Cite Format Result Cite Review PDF Full Text: DOI
Rentschler, Rudolf A negative answer to the problem of Dixmier on hearts of prime quotients of enveloping algebras. (English) Zbl 1204.17009 Commun. Algebra 36, No. 3, 1153-1170 (2008). Reviewer: Jean-Marie Bois (Kiel) MSC: 17B35 16S30 × Cite Format Result Cite Review PDF Full Text: DOI
Fauquant-Millet, Florence; Joseph, Anthony The sum of the false degrees – a mystery in the theory of invariants. (La somme des faux degrés – un mystère en théorie des invariants.) (French) Zbl 1183.17004 Adv. Math. 217, No. 4, 1476-1520 (2008). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B35 16W22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pinczon, Georges On two theorems about symplectic reflection algebras. (English) Zbl 1133.16009 Lett. Math. Phys. 82, No. 2-3, 237-253 (2007). MSC: 16E40 16S80 16S32 16S36 53D55 81S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sadetov, S. T. On rational isomorphisms of Lie algebras. (English. Russian original) Zbl 1146.17020 Funct. Anal. Appl. 41, No. 1, 42-53 (2007); translation from Funkts. Anal. Prilozh. 41, No. 1, 52-65 (2007). MSC: 17B63 17B30 17B35 17B80 × Cite Format Result Cite Review PDF Full Text: DOI
Papalexiou, Nikolaos Formal extension and quotients of the invariant holonomic system. (English) Zbl 1184.17006 J. Pure Appl. Algebra 210, No. 3, 685-694 (2007). MSC: 17B35 22E47 32C38 × Cite Format Result Cite Review PDF Full Text: DOI
Panyushev, D.; Premet, A.; Yakimova, O. On symmetric invariants of centralisers in reductive Lie algebras. (English) Zbl 1163.17012 J. Algebra 313, No. 1, 343-391 (2007). Reviewer: Evgeny Smirnov (Bonn) MSC: 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Alekseevsky, Dmitri V.; Medori, Costantino Bi-isotropic decompositions of semisimple Lie algebras and homogeneous bi-Lagrangian manifolds. (English) Zbl 1118.53032 J. Algebra 313, No. 1, 8-27 (2007). Reviewer: A. Arvanitoyeorgos (Rion) MSC: 53C30 17B20 × Cite Format Result Cite Review PDF Full Text: DOI
Joseph, Anthony A slice theorem for truncated parabolics of index one and the Bézout equation. (English) Zbl 1141.17007 Bull. Sci. Math. 131, No. 3, 276-290 (2007). Reviewer: Pavel Kolesnikov (Novosibirsk) MSC: 17B20 × Cite Format Result Cite Review PDF Full Text: DOI
Launois, Stéphane Primitive ideals and automorphism group of \(U_q^{+}(B_2)\). (English) Zbl 1168.17009 J. Algebra Appl. 6, No. 1, 21-47 (2007). Reviewer: Yang Shilin (Beijing) MSC: 17B37 16W35 16W20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kohlhaase, Jan Invariant distributions on \(p\)-adic analytic groups. (English) Zbl 1133.11066 Duke Math. J. 137, No. 1, 19-62 (2007). Reviewer: Dubravka Ban (Carbondale) MSC: 11S80 22E50 × Cite Format Result Cite Review PDF Full Text: DOI Euclid Link
Launois, Stéphane Combinatorics of \(\mathcal H\)-primes in quantum matrices. (English) Zbl 1172.05051 J. Algebra 309, No. 1, 139-167 (2007). MSC: 05E10 16W35 20G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Molev, A. I. Gelfand-Tsetlin bases for classical Lie algebras. (English) Zbl 1211.17009 Hazewinkel, M. (ed.), Handbook of algebra. Volume 4. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-52213-9/hbk). Handbook of Algebra 4, 109-170 (2006). Reviewer: Florin Nicolae (Berlin) MSC: 17B10 17B20 17-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Billig, Y.; Futorny, V.; Molev, A. Verma modules for Yangians. (English) Zbl 1124.17004 Lett. Math. Phys. 78, No. 1, 1-16 (2006). Reviewer: Xiandong Wang (Shandong) MSC: 17B10 81R10 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borho, Walter; Rentschler, Rudolf Sheets and hearts of prime ideals in enveloping algebras of semisimple Lie algebras. (English) Zbl 1162.17011 J. Algebra 304, No. 1, 324-348 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 17B35 17B20 × Cite Format Result Cite Review PDF Full Text: DOI
Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, L. Real rigid solvable Lie algebras are not necessarily completely solvable. (Les algèbres de Lie résolubles rigides réelles ne sont pas nécessairement complètement résolubles.) (French. English summary) Zbl 1161.17005 Linear Algebra Appl. 418, No. 2-3, 657-664 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 17B30 × Cite Format Result Cite Review PDF Full Text: DOI
Joseph, Anthony On semi-invariants and index for biparabolic (seaweed) algebras. I. (English) Zbl 1183.17009 J. Algebra 305, No. 1, 487-515 (2006). MSC: 17B45 17B10 × Cite Format Result Cite Review PDF Full Text: DOI
Papalexiou, Nikolaos Order relations on induced and prime ideals in the enveloping algebra of a semisimple Lie algebra. (English) Zbl 1151.17005 J. Algebra 302, No. 1, 1-15 (2006). Reviewer: Ernesto Spinelli (Lecce) MSC: 17B35 × Cite Format Result Cite Review PDF Full Text: DOI
Schmüdgen, Konrad A strict Positivstellensatz for enveloping algebras. (English) Zbl 1131.14061 Math. Z. 254, No. 3, 641-653 (2006); erratum 259, No. 1, 231 (2008). MSC: 14P10 22E45 11E25 17B35 47L60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Backelin, Erik; Kremnizer, Kobi Quantum flag varieties, equivariant quantum \(\mathcal D\)-modules, and localization of quantum groups. (English) Zbl 1165.17304 Adv. Math. 203, No. 2, 408-429 (2006). MSC: 17B37 58B32 14A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Khalgui, M. S.; Torasso, P. The Plancherel formula for real almost algebraic Lie groups. (La formule de Plancherel pour les groupes de Lie presque algébriques réels.) (French) Zbl 1101.43004 J. Funct. Anal. 235, No. 2, 449-542 (2006). Reviewer: Hidenori Fujiwara (Iizuka) MSC: 43A80 22E15 22E46 × Cite Format Result Cite Review PDF Full Text: DOI
Draisma, Jan Representation theory on the open Bruhat cell. (English) Zbl 1126.20025 J. Symb. Comput. 39, No. 3-4, 279-303 (2005). MSC: 20G05 17B45 14L30 14M15 17B66 05E10 × Cite Format Result Cite Review PDF Full Text: DOI
Barnich, G.; Grigoriev, M.; Semikhatov, A.; Tipunin, I. Parent field theory and unfolding in BRST first-quantized terms. (English) Zbl 1094.81048 Commun. Math. Phys. 260, No. 1, 147-181 (2005). Reviewer: David Auckly (Manhattan) MSC: 81T70 81T13 58E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Premet, Alexander; Tange, Rudolf Zassenhaus varieties of general linear Lie algebras. (English) Zbl 1097.17010 J. Algebra 294, No. 1, 177-195 (2005). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 17B35 17B50 16P40 16S30 17B20 17B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link