Wu, Zhixiang Some graded Hopf-module pseudoalgebras. (English) Zbl 07787782 J. Algebra 641, 587-619 (2024). MSC: 16T05 16S40 17B55 17B70 81T05 PDFBibTeX XMLCite \textit{Z. Wu}, J. Algebra 641, 587--619 (2024; Zbl 07787782) Full Text: DOI
Yang, Chao; Yang, Meiling Associative algebras of \(\mathbb{Z}\)-graded vertex operator superalgebras and their applications. (English) Zbl 07725281 J. Algebra 633, 20-42 (2023). MSC: 16Wxx 17B69 PDFBibTeX XMLCite \textit{C. Yang} and \textit{M. Yang}, J. Algebra 633, 20--42 (2023; Zbl 07725281) Full Text: DOI
Gundareva, A. F. Commuting elements in the first Weyl algebra over \(\mathbb{Q} \). (English. Russian original) Zbl 1499.14059 Sib. Math. J. 63, No. 5, 883-893 (2022); translation from Sib. Mat. Zh. 63, No. 5, 1052-1063 (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 47E05 13N10 16S32 35Q53 PDFBibTeX XMLCite \textit{A. F. Gundareva}, Sib. Math. J. 63, No. 5, 883--893 (2022; Zbl 1499.14059); translation from Sib. Mat. Zh. 63, No. 5, 1052--1063 (2022) Full Text: DOI
Molev, Alexander Sugawara operators for classical Lie algebras. (English) Zbl 1395.17001 Mathematical Surveys and Monographs 229. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3659-9/hbk; 978-1-4704-4391-7/ebook). xiv, 304 p. (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B35 16S30 17B63 17B67 17B69 PDFBibTeX XMLCite \textit{A. Molev}, Sugawara operators for classical Lie algebras. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1395.17001) Full Text: DOI
Gao, Xing; Guo, Li; Rosenkranz, Markus On rings of differential Rota-Baxter operators. (English) Zbl 1416.16025 Int. J. Algebra Comput. 28, No. 1, 1-36 (2018). MSC: 16S32 16W99 47G10 12H20 13N10 PDFBibTeX XMLCite \textit{X. Gao} et al., Int. J. Algebra Comput. 28, No. 1, 1--36 (2018; Zbl 1416.16025) Full Text: DOI arXiv
Costello, Kevin; Gwilliam, Owen 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) MSC: 81-02 81T10 81T70 81R10 17B67 17B69 17B70 81T45 58J28 16E45 47A68 18G35 18F20 17-02 PDFBibTeX XMLCite \textit{K. Costello} and \textit{O. Gwilliam}, Factorization algebras in quantum field theory. Volume 1. Cambridge: Cambridge University Press (2016; Zbl 1377.81004) Full Text: DOI
Brzeziński, Tomasz Noncommutative differential geometry of generalized Weyl algebras. (English) Zbl 1348.16023 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 059, 18 p. (2016). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S38 16S32 16W25 58B32 58B34 PDFBibTeX XMLCite \textit{T. Brzeziński}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 059, 18 p. (2016; Zbl 1348.16023) Full Text: DOI arXiv
Oganesyan, Vardan S. Commuting differential operators of rank 2 with polynomial coefficients. (English. Russian original) Zbl 1349.16029 Funct. Anal. Appl. 50, No. 1, 54-61 (2016); translation from Funkts. Anal. Prilozh. 50, No. 1, 67-75 (2016). MSC: 16S32 PDFBibTeX XMLCite \textit{V. S. Oganesyan}, Funct. Anal. Appl. 50, No. 1, 54--61 (2016; Zbl 1349.16029); translation from Funkts. Anal. Prilozh. 50, No. 1, 67--75 (2016) Full Text: DOI arXiv
Hartwig, Jonas T.; Serganova, Vera Twisted generalized Weyl algebras and primitive quotients of enveloping algebras. (English) Zbl 1352.16027 Algebr. Represent. Theory 19, No. 2, 277-313 (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16S30 16S99 16W50 16D60 17B35 PDFBibTeX XMLCite \textit{J. T. Hartwig} and \textit{V. Serganova}, Algebr. Represent. Theory 19, No. 2, 277--313 (2016; Zbl 1352.16027) Full Text: DOI arXiv
Mansour, Toufik; Schork, Matthias Commutation relations, normal ordering, and Stirling numbers. (English) Zbl 1335.05001 Discrete Mathematics and its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4665-7988-0/hbk; 978-1-4665-7989-7/ebook). xxiii, 504 p. (2016). Reviewer: László A. Székely (Columbia) MSC: 05-02 05A10 05A15 05A30 11B73 16Sxx 17Bxx 33Dxx 81R15 PDFBibTeX XMLCite \textit{T. Mansour} and \textit{M. Schork}, Commutation relations, normal ordering, and Stirling numbers. Boca Raton, FL: CRC Press (2016; Zbl 1335.05001) Full Text: DOI
Neshveyev, Sergey; Tuset, Lars Compact quantum groups and their representation categories. (English) Zbl 1316.46003 Cours Spécialisés (Paris) 20. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-777-3/hbk). iv, 169 p. (2013). Reviewer: Jörg Feldvoss (Mobile) MSC: 46-02 46L65 46L89 22E46 16T20 17B37 20G42 18D99 PDFBibTeX XMLCite \textit{S. Neshveyev} and \textit{L. Tuset}, Compact quantum groups and their representation categories. Paris: Société Mathématique de France (SMF) (2013; Zbl 1316.46003)
Dehdashti, Sh.; Mahdifar, A.; Roknizadeh, R. Coherent state of \(\alpha\)-deformed Weyl-Heisenberg algebra. (English) Zbl 1269.81063 Int. J. Geom. Methods Mod. Phys. 10, No. 5, Article ID 1350014, 18 p. (2013). MSC: 81R15 34B20 35R03 81R30 16S80 PDFBibTeX XMLCite \textit{Sh. Dehdashti} et al., Int. J. Geom. Methods Mod. Phys. 10, No. 5, Article ID 1350014, 18 p. (2013; Zbl 1269.81063) Full Text: DOI
Gurevich, Dimitri; Pyatov, Pavel; Saponov, Pavel Braided Weyl algebras and differential calculus on \(U(u(2))\). (English) Zbl 1259.17010 J. Geom. Phys. 62, No. 5, 1175-1188 (2012). MSC: 17B37 16T20 58B34 PDFBibTeX XMLCite \textit{D. Gurevich} et al., J. Geom. Phys. 62, No. 5, 1175--1188 (2012; Zbl 1259.17010) Full Text: DOI arXiv
Duchamp, Gérard H. E.; Penson, Karol A.; Tollu, Christophe Combinatorial physics. I: One-parameter groups. (Physique combinatoire. I: Groupes à un paramètre.) (French) Zbl 1328.81127 Gaz. Math., Soc. Math. Fr. 130, 37-50 (2011). Reviewer: Loïc Foissy (Calais) MSC: 81R15 05A15 16T05 PDFBibTeX XMLCite \textit{G. H. E. Duchamp} et al., Gaz. Math., Soc. Math. Fr. 130, 37--50 (2011; Zbl 1328.81127) Full Text: Link
Borowiec, Andrzej; Pachol, Anna \(\kappa\)-Minkowski spacetimes and DSR algebras: fresh look and old problems. (English) Zbl 1219.81159 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 086, 31 p. (2010). MSC: 81R50 81R60 81T75 83C65 16T05 17B37 46L65 53D55 PDFBibTeX XMLCite \textit{A. Borowiec} and \textit{A. Pachol}, SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 086, 31 p. (2010; Zbl 1219.81159) Full Text: DOI arXiv EuDML
Diarra, Bertin Some subalgebras of the algebra of bounded linear operators of the one variable Tate algebra. (English) Zbl 1211.46078 Berz, Martin (ed.) et al., Advances in \(p\)-adic and non-Archimedean analysis. Tenth international conference, Michigan State University, East Lansing, MI, USA, June 30–July 3, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4740-4/pbk). Contemporary Mathematics 508, 13-34 (2010). MSC: 46S10 47S10 12J27 16W60 PDFBibTeX XMLCite \textit{B. Diarra}, Contemp. Math. 508, 13--34 (2010; Zbl 1211.46078)
Tangara, Fana A \(p\)-adic quantum Weyl algebra. (English) Zbl 1247.47087 Commun. Algebra 38, No. 6, 2300-2310 (2010). MSC: 47S10 16S32 16T20 26E30 47L99 PDFBibTeX XMLCite \textit{F. Tangara}, Commun. Algebra 38, No. 6, 2300--2310 (2010; Zbl 1247.47087) Full Text: DOI
Nishiyama, Kenta; Noro, Masayuki Stratification associated with local \(b\)-functions. (English) Zbl 1184.13079 J. Symb. Comput. 45, No. 4, 462-480 (2010). MSC: 13P10 14F10 16S32 32C38 13N99 PDFBibTeX XMLCite \textit{K. Nishiyama} and \textit{M. Noro}, J. Symb. Comput. 45, No. 4, 462--480 (2010; Zbl 1184.13079) Full Text: DOI
Dolguntseva, I. A. Hochschild cohomologies for associative conformal algebras. (Russian, English) Zbl 1155.16300 Algebra Logika 46, No. 6, 688-706 (2007); translation in Algebra Logic 46, No. 6, 373-384 (2007). MSC: 16E40 17B69 16S32 PDFBibTeX XMLCite \textit{I. A. Dolguntseva}, Algebra Logika 46, No. 6, 688--706 (2007; Zbl 1155.16300); translation in Algebra Logic 46, No. 6, 373--384 (2007) Full Text: DOI
Takagi, Masako A new characterization of some maximal ideals in the extended Weyl algebras in two variables. (English) Zbl 1142.16010 Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 54, No. 1-2, 125-133 (2006). Reviewer: Werner M. Seiler (Kassel) MSC: 16S32 16D25 35F05 47B10 PDFBibTeX XMLCite \textit{M. Takagi}, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 54, No. 1--2, 125--133 (2006; Zbl 1142.16010)
Toft, Joachim Schatten-von Neumann properties in the Weyl calculus, and calculus of metrics on symplectic vector spaces. (English) Zbl 1106.35155 Ann. Global Anal. Geom. 30, No. 2, 169-209 (2006). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 35S05 47B10 32F45 16W80 PDFBibTeX XMLCite \textit{J. Toft}, Ann. Global Anal. Geom. 30, No. 2, 169--209 (2006; Zbl 1106.35155) Full Text: DOI
Kolesnikov, P. S. Associative conformal algebras with finite faithful representation. (English) Zbl 1175.16018 Adv. Math. 202, No. 2, 602-637 (2006). MSC: 16S32 17B69 16S50 16G99 PDFBibTeX XMLCite \textit{P. S. Kolesnikov}, Adv. Math. 202, No. 2, 602--637 (2006; Zbl 1175.16018) Full Text: DOI arXiv
Kolesnikov, P. S. Simple associative conformal algebras of linear growth. (English) Zbl 1102.17012 J. Algebra 295, No. 1, 247-268 (2006). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 17B69 17B01 16P90 PDFBibTeX XMLCite \textit{P. S. Kolesnikov}, J. Algebra 295, No. 1, 247--268 (2006; Zbl 1102.17012) Full Text: DOI arXiv
Lin, Shangyuan; Xin, Bin Representations of a noncommutative associative algebra related to quantum torus of rank three. (English) Zbl 1104.16034 Acta Math. Sin., Engl. Ser. 21, No. 6, 1521-1524 (2005). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16W35 16S32 16S36 17B69 PDFBibTeX XMLCite \textit{S. Lin} and \textit{B. Xin}, Acta Math. Sin., Engl. Ser. 21, No. 6, 1521--1524 (2005; Zbl 1104.16034) Full Text: DOI
Schmüdgen, Konrad A strict Positivstellensatz for the Weyl algebra. (English) Zbl 1137.47030 Math. Ann. 331, No. 4, 779-794 (2005). MSC: 47C10 16S32 11E25 14P10 16W10 47L55 47L60 PDFBibTeX XMLCite \textit{K. Schmüdgen}, Math. Ann. 331, No. 4, 779--794 (2005; Zbl 1137.47030) Full Text: DOI arXiv
Goodearl, Kenneth R.; Warfield, R. B. jun. An introduction to noncommutative Noetherian rings. 2nd ed. (English) Zbl 1101.16001 London Mathematical Society Student Texts 61. Cambridge: Cambridge University Press (ISBN 0-521-83687-5/hbk; 0-521-54537-4/pbk; 0-511-20834-0/e-book). xxiv, 344 p. £ 22.99, $ 34.99/pbk; £ 50.00, $ 85.00/hbk; $ 32.00/e-book (2004). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 16-02 16P40 16P50 16N60 16P60 16D25 16D70 16S30 16S32 16S34 16S35 16S36 16U10 16U20 16E10 16N20 17B35 PDFBibTeX XMLCite \textit{K. R. Goodearl} and \textit{R. B. Warfield jun.}, An introduction to noncommutative Noetherian rings. 2nd ed. Cambridge: Cambridge University Press (2004; Zbl 1101.16001)
Jiang, Lining; Guo, Maozheng; Qian, Min The duality theory of a finite dimensional discrete quantum group. (English) Zbl 1051.46049 Proc. Am. Math. Soc. 132, No. 12, 3537-3547 (2004). MSC: 46L65 46L05 16W30 PDFBibTeX XMLCite \textit{L. Jiang} et al., Proc. Am. Math. Soc. 132, No. 12, 3537--3547 (2004; Zbl 1051.46049) Full Text: DOI
Zelmanov, E. Idempotents in conformal algebras. (English) Zbl 1047.17015 Fong, Yuen (ed.) et al., Proceedings of the 3rd international algebra conference, Tainan, Taiwan, June 16–July 1, 2002. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1442-2/hbk). 257-266 (2003). Reviewer: Dražen Adamović (Zagreb) MSC: 17B69 17B65 16W50 PDFBibTeX XMLCite \textit{E. Zelmanov}, in: Proceedings of the 3rd international algebra conference, Tainan, Taiwan, June 16--July 1, 2002. Dordrecht: Kluwer Academic Publishers. 257--266 (2003; Zbl 1047.17015)
Bokut’, L. A.; Kolesnikov, P. S. Gröbner-Shirshov bases: from their inception to the present time. (English. Russian original) Zbl 1069.16026 J. Math. Sci., New York 116, No. 1, 2894-2916 (2003); translation from Zap. Nauchn. Semin. POMI 272, 26-67 (2000). MSC: 16S15 17B01 13P10 17A30 17B69 PDFBibTeX XMLCite \textit{L. A. Bokut'} and \textit{P. S. Kolesnikov}, J. Math. Sci., New York 116, No. 1, 2894--2916 (2000; Zbl 1069.16026); translation from Zap. Nauchn. Semin. POMI 272, 26--67 (2000) Full Text: DOI
Böhm, Gabriella; Szlachányi, Kornél Weak Hopf algebras. II: Representation theory, dimensions, and the Markov trace. (English) Zbl 0980.16028 J. Algebra 233, No. 1, 156-212 (2000). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16W30 18D10 81R50 46L99 PDFBibTeX XMLCite \textit{G. Böhm} and \textit{K. Szlachányi}, J. Algebra 233, No. 1, 156--212 (2000; Zbl 0980.16028) Full Text: DOI arXiv
Araujo, Jose; Bratten, Tim The Bernstein polynomial in one variable. (English) Zbl 0934.32011 Commun. Algebra 26, No. 12, 4159-4170 (1998). Reviewer: S.Dimiev (Sofia) MSC: 32C38 16S32 13N10 35A27 PDFBibTeX XMLCite \textit{J. Araujo} and \textit{T. Bratten}, Commun. Algebra 26, No. 12, 4159--4170 (1998; Zbl 0934.32011) Full Text: DOI
Razmyslov, Yu. P. Classical operators of quantum mechanics for the modular case. I. (English. Russian original) Zbl 0790.16028 Mosc. Univ. Math. Bull. 47, No. 1, 19-27 (1992); translation from Vestn. Mosk. Univ., Ser. I 1992, No. 1, 20-29 (1992). MSC: 16S50 81Q10 17B81 81R10 15A90 PDFBibTeX XMLCite \textit{Yu. P. Razmyslov}, Mosc. Univ. Math. Bull. 47, No. 1, 19--27 (1992; Zbl 0790.16028); translation from Vestn. Mosk. Univ., Ser. I 1992, No. 1, 20--29 (1992)
Razmyslov, Yu. P. Classical operators of quantum mechanics in the modular case. I. (Russian) Zbl 0776.16012 Vestn. Mosk. Univ., Ser. I 1992, No. 1, 20-29 (1992). Reviewer: V.Drensky (Sofia) MSC: 16S50 81Q10 17B81 81R10 15A90 PDFBibTeX XMLCite \textit{Yu. P. Razmyslov}, Vestn. Mosk. Univ., Ser. I 1992, No. 1, 20--29 (1992; Zbl 0776.16012)
Hashimoto, Mitsuyasu; Hayashi, Takahiro Quantum multilinear algebra. (English) Zbl 0776.17007 Tôhoku Math. J., II. Ser. 44, No. 4, 471-521 (1992). Reviewer: A.Stolin (Rehovot) MSC: 17B37 16W30 PDFBibTeX XMLCite \textit{M. Hashimoto} and \textit{T. Hayashi}, Tôhoku Math. J. (2) 44, No. 4, 471--521 (1992; Zbl 0776.17007) Full Text: DOI
Masuda, Tetsuya; Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; Ueno, Kimio Representations of quantum groups and a q-analogue of orthogonal polynomials. (Représentations des groupes quantiques et un q-analogue des polynômes orthogonaux). (English) Zbl 0658.22010 C. R. Acad. Sci., Paris, Sér. I 307, No. 11, 559-564 (1988). Reviewer: G.Loupias MSC: 22E70 81R10 58H05 16W30 33C80 PDFBibTeX XMLCite \textit{T. Masuda} et al., C. R. Acad. Sci., Paris, Sér. I 307, No. 11, 559--564 (1988; Zbl 0658.22010)
Quinn, Declan Embeddings of differential operator rings and Goldie dimension. (English) Zbl 0642.16002 Proc. Am. Math. Soc. 102, No. 1, 9-16 (1988). Reviewer: K.R.Goodearl MSC: 16W60 17B35 16S20 16E10 PDFBibTeX XMLCite \textit{D. Quinn}, Proc. Am. Math. Soc. 102, No. 1, 9--16 (1988; Zbl 0642.16002) Full Text: DOI
Feinsilver, Philip Discrete analogues of the Heisenberg-Weyl algebra. (English) Zbl 0627.39003 Monatsh. Math. 104, 89-108 (1987). MSC: 39A12 16W10 22E25 33C80 PDFBibTeX XMLCite \textit{P. Feinsilver}, Monatsh. Math. 104, 89--108 (1987; Zbl 0627.39003) Full Text: DOI EuDML
Lassner, W. Symbol representations of noncommutative algebras. (English) Zbl 0632.16003 Computer algebra, EUROCAL ’85, Proc. Eur. Conf., Linz/Austria 1985, Vol. 2, Lect. Notes Comput. Sci. 204, 99-115 (1985). Reviewer: A.Bocharov MSC: 16P50 81T05 68W30 16-04 16Rxx 47L90 PDFBibTeX XML
Goodearl, Kenneth R.; Hodges, T. J.; Lenagan, T. H. Krull and global dimensions of Weyl algebras over division rings. (English) Zbl 0558.16002 J. Algebra 91, 334-359 (1984). Reviewer: R.Gordon MSC: 16W60 16P60 16E10 16P40 16W20 16D30 16P50 16Kxx 17B35 PDFBibTeX XMLCite \textit{K. R. Goodearl} et al., J. Algebra 91, 334--359 (1984; Zbl 0558.16002) Full Text: DOI
Goodearl, Kenneth R.; Lenagan, T. H. Krull dimension of differential operator rings. IV: Multiple derivations. (English) Zbl 0498.16001 Proc. Lond. Math. Soc., III. Ser. 47, 306-336 (1983). MSC: 16W60 16P60 16W20 16P40 PDFBibTeX XMLCite \textit{K. R. Goodearl} and \textit{T. H. Lenagan}, Proc. Lond. Math. Soc. (3) 47, 306--336 (1983; Zbl 0498.16001) Full Text: DOI
Goodearl, Kenneth R.; Warfield, R. B. jun. Krull dimension of differential operator rings. (English) Zbl 0493.16004 Proc. Lond. Math. Soc., III. Ser. 45, 49-70 (1982). MSC: 16W60 16P60 16W20 13C15 13B10 13N05 PDFBibTeX XMLCite \textit{K. R. Goodearl} and \textit{R. B. Warfield jun.}, Proc. Lond. Math. Soc. (3) 45, 49--70 (1982; Zbl 0493.16004) Full Text: DOI
Bjoerk, J.-E. Rings of differential operators. (English) Zbl 0499.13009 North-Holland mathematical Library, Vol. 21. Amsterdam - Oxford -New York: North-Holland Publishing Company. XVII, 374 p. $ 61.00; Dfl. 125.00 (1979). MSC: 13N05 58J15 32A45 32-02 13-02 46F10 35D05 46F99 46F15 58J10 58J99 13J05 58-02 32S05 32Sxx 14B05 32K15 13F25 16W60 32B99 14A05 12H20 16W20 PDFBibTeX XML