Monica, M. V.; Rajendra, R. Algebraic Lie algebra bundles and derivations of Lie algebra bundles. (English) Zbl 07822031 Int. Electron. J. Algebra 35, 95-107 (2024). MSC: 17Bxx 16W25 17B40 22E60 PDFBibTeX XMLCite \textit{M. V. Monica} and \textit{R. Rajendra}, Int. Electron. J. Algebra 35, 95--107 (2024; Zbl 07822031) Full Text: DOI
Kumar, Ranjitha On characteristic ideal bundles of a Lie algebra bundle. (English) Zbl 1499.17012 J. Algebra Relat. Top. 9, No. 2, 23-28 (2021). MSC: 17B20 17B60 17B99 55R25 55R99 PDFBibTeX XMLCite \textit{R. Kumar}, J. Algebra Relat. Top. 9, No. 2, 23--28 (2021; Zbl 1499.17012) Full Text: DOI
Kumar, Ranjitha On Wedderburn principal theorem for Jordan algebra bundles. (English) Zbl 1475.17049 Commun. Algebra 49, No. 4, 1431-1436 (2021). Reviewer: Candido Martín González (Málaga) MSC: 17C50 17B60 55R10 PDFBibTeX XMLCite \textit{R. Kumar}, Commun. Algebra 49, No. 4, 1431--1436 (2021; Zbl 1475.17049) Full Text: DOI
Ionescu, Alexandru; Munteanu, Gheorghe The warped product of holomorphic Lie algebroids. (English) Zbl 1488.53216 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 28, No. 1, 117-134 (2020). MSC: 53D17 17B66 53C60 PDFBibTeX XMLCite \textit{A. Ionescu} and \textit{G. Munteanu}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 28, No. 1, 117--134 (2020; Zbl 1488.53216) Full Text: DOI
Ionescu, Ana-Maria; Ionescu, Alexandru The doubly warped product of holomorphic Lie algebroids. (English) Zbl 1493.53105 J. Lie Theory 30, No. 3, 767-778 (2020). MSC: 53D17 17B66 53C60 PDFBibTeX XMLCite \textit{A.-M. Ionescu} and \textit{A. Ionescu}, J. Lie Theory 30, No. 3, 767--778 (2020; Zbl 1493.53105) Full Text: Link
Ajaykumar, K.; Kiranagi, B. S. Connections on smooth Lie algebra bundles. (English) Zbl 1437.55020 Indian J. Pure Appl. Math. 50, No. 4, 891-901 (2019). MSC: 55R25 55R10 17B60 58A99 PDFBibTeX XMLCite \textit{K. Ajaykumar} and \textit{B. S. Kiranagi}, Indian J. Pure Appl. Math. 50, No. 4, 891--901 (2019; Zbl 1437.55020) Full Text: DOI
Bi, Yanhui; Vitagliano, Luca; Zhang, Tao Higher omni-Lie algebroids. (English) Zbl 1446.17033 J. Lie Theory 29, No. 3, 881-899 (2019). Reviewer: Princy Randriambololondrantomalala (Antananarivo) MSC: 17B66 53D18 PDFBibTeX XMLCite \textit{Y. Bi} et al., J. Lie Theory 29, No. 3, 881--899 (2019; Zbl 1446.17033) Full Text: arXiv Link
Balcerzak, Bogdan On the Dirac type operators on symmetric tensors. (English) Zbl 1428.58018 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 215-222 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 58H05 17B66 53C05 58J60 58A30 58J70 PDFBibTeX XMLCite \textit{B. Balcerzak}, in: Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2--8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th ``School of geometry and physics''. Cham: Birkhäuser. 215--222 (2019; Zbl 1428.58018) Full Text: DOI
Kharchev, S.; Levin, A.; Olshanetsky, M.; Zotov, A. Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins. (English) Zbl 1408.53035 J. Math. Phys. 59, No. 10, 103509, 36 p. (2018). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 53C07 53C55 32Q20 17B20 14D21 14H60 PDFBibTeX XMLCite \textit{S. Kharchev} et al., J. Math. Phys. 59, No. 10, 103509, 36 p. (2018; Zbl 1408.53035) Full Text: DOI arXiv
Baraglia, David; Kamgarpour, Masoud On the image of the parabolic Hitchin map. (English) Zbl 1460.17034 Q. J. Math. 69, No. 2, 681-708 (2018). Reviewer: Nicolae Manolache (Bucureşti) MSC: 17B67 17B69 22E50 20G25 14D20 14H60 PDFBibTeX XMLCite \textit{D. Baraglia} and \textit{M. Kamgarpour}, Q. J. Math. 69, No. 2, 681--708 (2018; Zbl 1460.17034) Full Text: DOI arXiv
Kiranagi, B. S.; Kumar, Ranjitha; Ajaykumar, K.; Madhu, B. On derivation algebra bundle of an algebra bundle. (English) Zbl 1418.55012 Proc. Jangjeon Math. Soc. 21, No. 2, 293-300 (2018). MSC: 55R10 16D99 16N99 17B60 PDFBibTeX XMLCite \textit{B. S. Kiranagi} et al., Proc. Jangjeon Math. Soc. 21, No. 2, 293--300 (2018; Zbl 1418.55012)
Sheinman, O. K. Matrix divisors on Riemann surfaces and Lax operator algebras. (English. Russian original) Zbl 1437.14042 Trans. Mosc. Math. Soc. 2017, 109-121 (2017); translation from Tr. Mosk. Mat. O.-va 78, No. 1, 129-144 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H60 14H70 17B65 22E65 PDFBibTeX XMLCite \textit{O. K. Sheinman}, Trans. Mosc. Math. Soc. 2017, 109--121 (2017; Zbl 1437.14042); translation from Tr. Mosk. Mat. O.-va 78, No. 1, 129--144 (2017) Full Text: DOI arXiv
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V. Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero-Moser systems, and KZB equations. (English. Russian original) Zbl 1418.37095 Theor. Math. Phys. 188, No. 2, 1121-1154 (2016); translation from Teor. Mat. Fiz. 188, No. 2, 185-222 (2016). MSC: 37J35 14H70 14D21 17B80 17B40 17B20 PDFBibTeX XMLCite \textit{A. M. Levin} et al., Theor. Math. Phys. 188, No. 2, 1121--1154 (2016; Zbl 1418.37095); translation from Teor. Mat. Fiz. 188, No. 2, 185--222 (2016) Full Text: DOI arXiv
Kiranagi, B. S.; Kumar, Ranjitha; Prema, G. On completely semisimple Lie algebra bundles. (English) Zbl 1410.55009 J. Algebra Appl. 14, No. 2, Article ID 1550009, 11 p. (2015). MSC: 55R25 17B05 17B20 PDFBibTeX XMLCite \textit{B. S. Kiranagi} et al., J. Algebra Appl. 14, No. 2, Article ID 1550009, 11 p. (2015; Zbl 1410.55009) Full Text: DOI
Zharinov, V. V. Algebraic aspects of gauge theories. (English. Russian original) Zbl 1323.81068 Theor. Math. Phys. 180, No. 2, 942-957 (2014); translation from Teor. Mat. Fiz. 180, No. 2, 217-233 (2014). MSC: 81T13 14D21 13N15 17B66 70S15 53Z05 PDFBibTeX XMLCite \textit{V. V. Zharinov}, Theor. Math. Phys. 180, No. 2, 942--957 (2014; Zbl 1323.81068); translation from Teor. Mat. Fiz. 180, No. 2, 217--233 (2014) Full Text: DOI
Farhangdoost, M. R. Fiber bundles and Lie algebras of top spaces. (English) Zbl 1306.22010 Bull. Iran. Math. Soc. 39, No. 4, 589-598 (2013). Reviewer: Mihail I. Ursul (Oradea) MSC: 22E60 55R10 17B66 22E99 PDFBibTeX XMLCite \textit{M. R. Farhangdoost}, Bull. Iran. Math. Soc. 39, No. 4, 589--598 (2013; Zbl 1306.22010) Full Text: Link
Janssens, Bas; Wockel, Christoph Universal central extensions of gauge algebras and groups. (English) Zbl 1371.17017 J. Reine Angew. Math. 682, 129-139 (2013). MSC: 17B55 17B56 22E99 53C07 PDFBibTeX XMLCite \textit{B. Janssens} and \textit{C. Wockel}, J. Reine Angew. Math. 682, 129--139 (2013; Zbl 1371.17017) Full Text: DOI arXiv
Tsanov, Valdemar V. Embeddings of semisimple complex Lie groups and cohomological components of modules. (English) Zbl 1279.22019 J. Algebra 373, 1-29 (2013). Reviewer: Uberto Cattaneo (Maggia) MSC: 22E46 17B20 17B56 55N30 PDFBibTeX XMLCite \textit{V. V. Tsanov}, J. Algebra 373, 1--29 (2013; Zbl 1279.22019) Full Text: DOI arXiv
Lecomte, Pierre B. A.; Leuther, Thomas; Mushengezi, Elie Zihindula On a Lie algebraic characterization of vector bundles. (English) Zbl 1242.17022 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 004, 10 p. (2012). MSC: 17B65 57R22 17B40 17B56 13N10 16S32 17B63 PDFBibTeX XMLCite \textit{P. B. A. Lecomte} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 004, 10 p. (2012; Zbl 1242.17022) Full Text: DOI arXiv
Ni, Xiang; Bai, Chengming Special symplectic Lie groups and hypersymplectic Lie groups. (English) Zbl 1223.17009 Manuscr. Math. 133, No. 3-4, 373-408 (2010). Reviewer: Angel Francisco Tenorio Villalon (Seville) MSC: 17B05 17D25 22E20 17B60 17B66 PDFBibTeX XMLCite \textit{X. Ni} and \textit{C. Bai}, Manuscr. Math. 133, No. 3--4, 373--408 (2010; Zbl 1223.17009) Full Text: DOI arXiv
Müller, Christoph; Neeb, Karl-Hermann; Seppänen, Henrik Borel-Weil theory for root graded Banach-Lie groups. (English) Zbl 1187.22017 Int. Math. Res. Not. 2010, No. 5, 783-823 (2010). Reviewer: Helge Glöckner (Paderborn) MSC: 22E65 22E46 43A65 17B65 PDFBibTeX XMLCite \textit{C. Müller} et al., Int. Math. Res. Not. 2010, No. 5, 783--823 (2010; Zbl 1187.22017) Full Text: DOI arXiv Link
Boysal, Arzu; Pauly, Christian Strange duality for Verlinde spaces of exceptional groups at level one. (English) Zbl 1196.14017 Int. Math. Res. Not. 2010, No. 4, 595-618 (2010). Reviewer: Iustin Coandă (Bucureşti) MSC: 14D23 14H60 32L05 20G41 17B10 17B67 PDFBibTeX XMLCite \textit{A. Boysal} and \textit{C. Pauly}, Int. Math. Res. Not. 2010, No. 4, 595--618 (2010; Zbl 1196.14017) Full Text: DOI arXiv
Lebtahi, Leila Lie algebra on the transverse bundle of a decreasing family of foliations. (English) Zbl 1189.53029 J. Geom. Phys. 60, No. 1, 122-130 (2010). Reviewer: John F. Oprea (Cleveland) MSC: 53C12 55R10 17B66 PDFBibTeX XMLCite \textit{L. Lebtahi}, J. Geom. Phys. 60, No. 1, 122--130 (2010; Zbl 1189.53029) Full Text: DOI
Sultanov, A. Ya. On Lie algebras of holomorphic affine vector fields on Weil bundles. (Russian. English summary) Zbl 1216.53021 Uch. Zap. Kazan. Gos. Univ., Ser. Fiz.-Mat. Nauki 151, No. 4, 171-177 (2009). MSC: 53B05 17B66 PDFBibTeX XMLCite \textit{A. Ya. Sultanov}, Uch. Zap. Kazan. Gos. Univ., Ser. Fiz.-Mat. Nauki 151, No. 4, 171--177 (2009; Zbl 1216.53021)
Dolgushev, Vasiliy Formality theorem for Hochschild (co)chains of the algebra of endomorphism of a vector bundle. (English) Zbl 1158.53340 Math. Res. Lett. 14, No. 5-6, 757-767 (2007). MSC: 53D55 53D17 16E40 16E45 17B56 PDFBibTeX XMLCite \textit{V. Dolgushev}, Math. Res. Lett. 14, No. 5--6, 757--767 (2007; Zbl 1158.53340) Full Text: DOI arXiv
Janyška, Josef; Modugno, Marco Quantum operators and Hermitian vector fields. (English) Zbl 1138.81025 Ge, Mo-Lin (ed.) et al., Differential geometry and physics. Proceedings of the 23rd international conference of differential geometric methods in theoretical physics, Tianjin, China, August 20–26, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-377-4/hbk). Nankai Tracts in Mathematics 10, 256-265 (2006). MSC: 81R20 53C07 17B81 PDFBibTeX XMLCite \textit{J. Janyška} and \textit{M. Modugno}, Nankai Tracts Math. 10, 256--265 (2006; Zbl 1138.81025)
Khoroshkin, A. S. Lie algebra of formal vector fields extended by formal \({\mathfrak g}\)-valued functions. (Russian, English) Zbl 1117.17008 Zap. Nauchn. Semin. POMI 335, 205-230 (2006); translation in J. Math. Sci., New York 143, No. 1, 2816-2830 (2007). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B66 PDFBibTeX XMLCite \textit{A. S. Khoroshkin}, Zap. Nauchn. Semin. POMI 335, 205--230 (2006; Zbl 1117.17008); translation in J. Math. Sci., New York 143, No. 1, 2816--2830 (2007) Full Text: Link
Janyška, Josef; Modugno, Marco Hermitian vector fields and special phase functions. (English) Zbl 1095.53046 Int. J. Geom. Methods Mod. Phys. 3, No. 4, 719-754 (2006). MSC: 53C50 17B66 17B81 53B35 53C07 55R10 58A10 81R20 81S10 83C99 83E99 PDFBibTeX XMLCite \textit{J. Janyška} and \textit{M. Modugno}, Int. J. Geom. Methods Mod. Phys. 3, No. 4, 719--754 (2006; Zbl 1095.53046) Full Text: DOI arXiv
Cagliero, Leandro; Tirao, Paulo The cohomology of the cotangent bundle of Heisenberg groups. (English) Zbl 1037.17020 Adv. Math. 181, No. 2, 276-307 (2004). Reviewer: Arvid Siqveland (Kongsberg) MSC: 17B56 32L10 PDFBibTeX XMLCite \textit{L. Cagliero} and \textit{P. Tirao}, Adv. Math. 181, No. 2, 276--307 (2004; Zbl 1037.17020) Full Text: DOI
Castrillón López, M.; Muñoz Masqué, J.; Ratiu, T. Gauge invariance and variational trivial problems on the bundle of connections. (English) Zbl 1067.58013 Differ. Geom. Appl. 19, No. 2, 127-145 (2003). MSC: 58E30 17B66 22E65 53C07 81R10 PDFBibTeX XMLCite \textit{M. Castrillón López} et al., Differ. Geom. Appl. 19, No. 2, 127--145 (2003; Zbl 1067.58013) Full Text: DOI
Grabowska, Katarzyna; Grabowski, Janusz; Urbański, Paweł Lie brackets on affine bundles. (English) Zbl 1044.53056 Ann. Global Anal. Geom. 24, No. 2, 101-130 (2003). Reviewer: Olga Radko (Los Angeles) MSC: 53D17 17B66 70G45 PDFBibTeX XMLCite \textit{K. Grabowska} et al., Ann. Global Anal. Geom. 24, No. 2, 101--130 (2003; Zbl 1044.53056) Full Text: DOI arXiv
Kosmann-Schwarzbach, Y.; Mackenzie, K. C. H. Differential operators and actions of Lie algebroids. (English) Zbl 1040.17020 Voronov, Theodore (ed.), Quantization, Poisson brackets and beyond. London Mathematical Society regional meeting and workshop on quantization, deformations, and new homological and categorical methods in mathematical physics, Manchester, UK, July 6–13, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3201-8). Contemp. Math. 315, 213-233 (2002). Reviewer: Janusz Grabowski (Warszawa) MSC: 17B66 22A22 58D19 58H05 PDFBibTeX XMLCite \textit{Y. Kosmann-Schwarzbach} and \textit{K. C. H. Mackenzie}, Contemp. Math. 315, 213--233 (2002; Zbl 1040.17020) Full Text: arXiv
Ginzburg, Viktor L. Grothendieck groups of Poisson vector bundles. (English) Zbl 1032.53072 J. Symplectic Geom. 1, No. 1, 121-169 (2001). Reviewer: Andrew Bucki (Oklahoma City) MSC: 53D17 17B65 53C12 PDFBibTeX XMLCite \textit{V. L. Ginzburg}, J. Symplectic Geom. 1, No. 1, 121--169 (2001; Zbl 1032.53072) Full Text: DOI arXiv
Dufour, Jean-Paul Normal forms for Lie algebroids. (English) Zbl 1004.53019 Kubarski, Jan (ed.) et al., Lie algebroids and related topics in differential geometry. Proceedings of the conference, Warsaw, Poland, June 12-18, 2000. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 54, 35-41 (2001). Reviewer: Elena Hirica (Bucureşti) MSC: 53C07 55R10 17B20 PDFBibTeX XMLCite \textit{J.-P. Dufour}, Banach Cent. Publ. 54, 35--41 (2001; Zbl 1004.53019) Full Text: Link
Castrillón López, M.; Muñoz Masqué, J.; Ratiu, T. S. Trivial Lagrangians on connections and invariance under automorphisms. (English) Zbl 0980.58011 Kozma, L. (ed.) et al., Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25-30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics, 77-83 (2001). Reviewer: Peter B.Gilkey (Eugene) MSC: 58E30 17B66 22E65 53C07 81R10 PDFBibTeX XMLCite \textit{M. Castrillón López} et al., in: Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25--30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics. 77--83 (2001; Zbl 0980.58011) Full Text: EMIS
Wade, Aïssa Conformal Dirac structures. (English) Zbl 0982.53069 Lett. Math. Phys. 53, No. 4, 331-348 (2000). MSC: 53D17 17B66 17B62 53D15 53C27 17B63 PDFBibTeX XMLCite \textit{A. Wade}, Lett. Math. Phys. 53, No. 4, 331--348 (2000; Zbl 0982.53069) Full Text: DOI arXiv
Iglesias, David; Marrero, Juan C. Some linear Jacobi structures on vector bundles. (English. Abridged French version) Zbl 0983.53055 C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 2, 125-130 (2000). MSC: 53D17 17B66 PDFBibTeX XMLCite \textit{D. Iglesias} and \textit{J. C. Marrero}, C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 2, 125--130 (2000; Zbl 0983.53055) Full Text: DOI arXiv
Mackenzie, K. C. H. On symplectic double groupoids and the duality of Poisson groupoids. (English) Zbl 0961.58008 Int. J. Math. 10, No. 4, 435-456 (1999). Reviewer: David J.Saunders (Milton Keynes) MSC: 58H05 17B66 22A22 18D05 PDFBibTeX XMLCite \textit{K. C. H. Mackenzie}, Int. J. Math. 10, No. 4, 435--456 (1999; Zbl 0961.58008) Full Text: DOI arXiv
Castrillón-López, M. Gauge invariant variationally trivial \(U(1)\)-problems. (English) Zbl 0951.58022 Kolář, Ivan (ed.) et al., Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10-14, 1998. Brno: Masaryk University. 461-468 (1999). Reviewer: D.Motreanu (Iaşi) MSC: 58E30 17B66 22E65 53C07 PDFBibTeX XMLCite \textit{M. Castrillón-López}, in: Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10--14, 1998. Brno: Masaryk University. 461--468 (1999; Zbl 0951.58022) Full Text: EMIS
Grabowski, J.; Urbański, P. Algebroids – general differential calculi on vector bundles. (English) Zbl 0954.17014 J. Geom. Phys. 31, No. 2-3, 111-141 (1999). Reviewer: Martin Schlichenmaier (Mannheim) MSC: 17B66 58H05 53D17 17B63 PDFBibTeX XMLCite \textit{J. Grabowski} and \textit{P. Urbański}, J. Geom. Phys. 31, No. 2--3, 111--141 (1999; Zbl 0954.17014) Full Text: DOI arXiv
Castrillón-López, M.; Muñoz Masqué, J. Gauge forms on \(\text{SU}(2)\)-bundles. (English) Zbl 0953.53021 J. Geom. Phys. 30, No. 4, 313-330 (1999). Reviewer: M.Anastasiei (Iaşi) MSC: 53C07 17B66 22E65 81R10 PDFBibTeX XMLCite \textit{M. Castrillón-López} and \textit{J. Muñoz Masqué}, J. Geom. Phys. 30, No. 4, 313--330 (1999; Zbl 0953.53021) Full Text: DOI
Wagemann, Friedrich Some remarks on the cohomology of Krichever-Novikov algebras. (English) Zbl 0927.17009 Lett. Math. Phys. 47, No. 2, 173-177 (1999), erratum 52, No. 4, 349 (2000). Reviewer: M.Schlichenmaier (Mannheim) MSC: 17B56 17B66 17B68 32E10 46M20 81T40 PDFBibTeX XMLCite \textit{F. Wagemann}, Lett. Math. Phys. 47, No. 2, 173--177 (1999; Zbl 0927.17009) Full Text: DOI arXiv
Lukatskij, A. M. On a generalization of the construction of groups of currents. (Russian) Zbl 0958.58003 Onishchik, A. L. (ed.), Questions of group theory and homological algebra. Collection of scientific works. Yaroslavl’: Yaroslavskij Gosudarstvennyj Universitet im. P. G. Demidova. 137-141 (1998). Reviewer: H.Boseck (Greifswald) MSC: 58A30 22E65 17B65 57S20 58D05 PDFBibTeX XMLCite \textit{A. M. Lukatskij}, in: Вопросы теории групп и гомологической алгебры. Сборник научных трудов. Yaroslavl': Yaroslavskij Gosudarstvennyj Universitet im. P. G. Demidova. 137--141 (1998; Zbl 0958.58003)
Ovsienko, V.; Roger, C. Deforming the Lie algebra of vector fields on \(S^1\) inside the Poisson algebra on \(\dot T^*S^1\). (English) Zbl 0924.17016 Commun. Math. Phys. 198, No. 1, 97-110 (1998). Reviewer: Janusz Grabowski (Warszawa) MSC: 17B56 17B66 37J99 58H15 PDFBibTeX XMLCite \textit{V. Ovsienko} and \textit{C. Roger}, Commun. Math. Phys. 198, No. 1, 97--110 (1998; Zbl 0924.17016) Full Text: DOI arXiv
Daletskij, Yu. L. Modules and bundles over an operad. (English. Russian original) Zbl 0906.18005 St. Petersbg. Math. J. 10, No. 1, 15-24 (1999); translation from Algebra Anal. 10, No. 1, 20-31 (1998). Reviewer: M.Golasiński (Toruń) MSC: 18D99 17B60 55R10 PDFBibTeX XMLCite \textit{Yu. L. Daletskij}, St. Petersbg. Math. J. 10, No. 1, 20--31 (1998; Zbl 0906.18005); translation from Algebra Anal. 10, No. 1, 20--31 (1998)
Kumar, Shrawan Infinite Grassmannians and moduli spaces of \(G\)-bundles. (English) Zbl 0884.14021 Narasimhan, M. S. (ed.), Vector bundles on curves – new directions. Lectures given at the 3rd session of the Centro Internazionale Matematico Estivo (CIME) held in Cetraro (Cosenza), Italy, June 19–27, 1995. Berlin: Springer. Lect. Notes Math. 1649, 1-49 (1997). Reviewer: N.Andruskiewitsch (Córdoba) MSC: 14K25 17B67 14D20 PDFBibTeX XMLCite \textit{S. Kumar}, Lect. Notes Math. 1649, 1--49 (1997; Zbl 0884.14021) Full Text: arXiv
Onishchik, A. L. On complex homogeneous supermanifolds. (Russian) Zbl 0857.58005 Durnev, V. G. (ed.) et al., Mathematics in Yaroslavl’ University. Collection of survey articles. On the occasion of the 20th anniversary of the Department of Mathematics. Yaroslavl’: Yaroslavskij Gosudarstvennyj Universitet Im. P. G. Demidova. Matematicheskij Fakul’tet, 133-153 (1996). Reviewer: V.Abramov (Tartu) MSC: 58A50 32C11 17B66 PDFBibTeX XMLCite \textit{A. L. Onishchik}, in: Matematika v Yaroslavskom universitete. Sbornik obzornykh statej. K 20-letiyu matematicheskogo fakul'teta. Yaroslavl': Yaroslavskij Gosudarstvennyj Universitet Im. P. G. Demidova. Matematicheskij Fakul'tet. 133--153 (1996; Zbl 0857.58005)
Ader, Jean-Pierre; Biet, Franck; Noirot, Yves A geometrical approach to super \(W\)-induced gravities in two dimensions. (English) Zbl 1002.81543 Nucl. Phys., B 466, No. 1-2, 285-314 (1996). MSC: 81T40 81T50 81T70 83E50 PDFBibTeX XMLCite \textit{J.-P. Ader} et al., Nucl. Phys., B 466, No. 1--2, 285--314 (1996; Zbl 1002.81543) Full Text: DOI arXiv
Williams, Floyd L. Spectral zeta series of rank 1 space forms. (English) Zbl 0837.22009 Gross, Kenneth I. (ed.) et al., Representation theory and harmonic analysis. A conference in honor of Ray A. Kunze, January 12-14, 1994, Cincinnati, OH, USA. Providence, RI: American Mathematical Society. Contemp. Math. 191, 245-254 (1995). Reviewer: A.Deitmar (Heidelberg) MSC: 22E46 17B20 11F72 11M41 43A85 43A90 32N15 PDFBibTeX XMLCite \textit{F. L. Williams}, Contemp. Math. 191, 245--254 (1995; Zbl 0837.22009)
Dubois-Violette, Michel; Michor, Peter W. A common generalization of the Frölicher-Nijenhuis bracket and the Schouten bracket for symmetric multivector fields. (English) Zbl 0844.58002 Indag. Math., New Ser. 6, No. 1, 51-66 (1995). Reviewer: Lilia Del Riego (San Luis Potosí) MSC: 58A10 37J99 17B66 17B70 53C65 PDFBibTeX XMLCite \textit{M. Dubois-Violette} and \textit{P. W. Michor}, Indag. Math., New Ser. 6, No. 1, 51--66 (1995; Zbl 0844.58002) Full Text: DOI arXiv
Felder, Giovanni; Varchenko, Alexander Integral representation of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard equations. (English) Zbl 0840.17020 Int. Math. Res. Not. 1995, No. 5, 221-233 (1995). Reviewer: N.E.Ratanov (Chelyabinsk) MSC: 17B65 35Q40 17B67 81T40 PDFBibTeX XMLCite \textit{G. Felder} and \textit{A. Varchenko}, Int. Math. Res. Not. 1995, No. 5, 221--233 (1995; Zbl 0840.17020) Full Text: DOI arXiv
Rogers, A.; Langer, M. Corrigendum to: New fields on super Riemann surfaces. (English) Zbl 0830.32005 Classical Quantum Gravity 12, No. 10, 2619-2620 (1995). MSC: 32C11 58A50 PDFBibTeX XMLCite \textit{A. Rogers} and \textit{M. Langer}, Classical Quantum Gravity 12, No. 10, 2619--2620 (1995; Zbl 0830.32005) Full Text: DOI
Behrend, Kai A. Semi-stability of reductive group schemes over curves. (English) Zbl 0813.20052 Math. Ann. 301, No. 2, 281-305 (1995). Reviewer: K.A.Behrend (Cambridge/Mass.) MSC: 20G35 14L15 17B20 14L35 PDFBibTeX XMLCite \textit{K. A. Behrend}, Math. Ann. 301, No. 2, 281--305 (1995; Zbl 0813.20052) Full Text: DOI EuDML
Rogers, Alice; Langer, Mark New fields on super Riemann surfaces. (English) Zbl 0824.32003 Classical Quantum Gravity 11, No. 11, 2619-2626 (1994). MSC: 32C11 58A50 PDFBibTeX XMLCite \textit{A. Rogers} and \textit{M. Langer}, Classical Quantum Gravity 11, No. 11, 2619--2626 (1994; Zbl 0824.32003) Full Text: DOI arXiv
Helminck, A. G.; Helminck, G. F. Holomorphic line bundles over Hilbert flag varieties. (English) Zbl 0837.22012 Haboush, William J. (ed.) et al., Algebraic groups and their generalizations: quantum and infinite-dimensional methods. Summer Research Institute on algebraic groups and their generalizations, July 6-26, 1991, Pennsylvania State University, University Park, PA, USA. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 56, Pt. 2, 349-375 (1994). Reviewer: Min Ho Lee (Cedar Falls) MSC: 22E65 22E35 14M15 35Q58 43A80 17B65 PDFBibTeX XMLCite \textit{A. G. Helminck} and \textit{G. F. Helminck}, Proc. Symp. Pure Math. 56, 349--375 (1994; Zbl 0837.22012)
Beauville, Arnaud; Laszlo, Yves Conformal blocks and generalized theta functions. (English) Zbl 0815.14015 Commun. Math. Phys. 164, No. 2, 385-419 (1994). Reviewer: W.Kleinert (Berlin) MSC: 14H42 14H60 81T20 14K25 17B67 14H55 PDFBibTeX XMLCite \textit{A. Beauville} and \textit{Y. Laszlo}, Commun. Math. Phys. 164, No. 2, 385--419 (1994; Zbl 0815.14015) Full Text: DOI arXiv
Tong, Yue Lin L. Flat connections on products of determinant bundles. (English) Zbl 0805.32016 Greene, Robert (ed.) et al., Differential geometry. Part 2: Geometry in mathematical physics and related topics. Proceedings of a summer research institute, held at the University of California, Los Angeles, CA, USA, July 8-28, 1990. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 54, Part 2, 611-617 (1993). Reviewer: A.Russakovskii (Khar’kov) MSC: 32L10 58J52 14C40 17B65 58J20 32C38 PDFBibTeX XMLCite \textit{Y. L. L. Tong}, Proc. Symp. Pure Math. 54, 611--617 (1993; Zbl 0805.32016)
Shen, X. R.; Smith, J. D. H. Comtrans algebras and bilinear forms. (English) Zbl 0739.17010 Arch. Math. 59, No. 4, 327-333 (1992). Reviewer: X.R.Shen and J.D.H.Smith (Ames) MSC: 17B60 17B99 53A60 PDFBibTeX XMLCite \textit{X. R. Shen} and \textit{J. D. H. Smith}, Arch. Math. 59, No. 4, 327--333 (1992; Zbl 0739.17010) Full Text: DOI
Cabras, A.; Canarutto, D. Systems of principal tangent-valued forms. (English) Zbl 0743.53015 Rend. Mat. Appl., VII. Ser. 11, No. 3, 471-493 (1991). Reviewer: Th.M.Rassias (Athens) MSC: 53C05 17B70 55R10 PDFBibTeX XMLCite \textit{A. Cabras} and \textit{D. Canarutto}, Rend. Mat. Appl., VII. Ser. 11, No. 3, 471--493 (1991; Zbl 0743.53015)
Lawrence, R. J. A topological approach to representations of the Iwahori-Hecke algebra. (English) Zbl 0716.20023 Int. J. Mod. Phys. A 5, No. 16, 3213-3219 (1990). MSC: 20G05 17B65 81T40 20F36 17B10 PDFBibTeX XMLCite \textit{R. J. Lawrence}, Int. J. Mod. Phys. A 5, No. 16, 3213--3219 (1990; Zbl 0716.20023) Full Text: DOI
Tong Van Duc A characterization of transverse structures. (Une caractérisation du fibré transverse.) (French) Zbl 0737.57014 Collect. Math. 41, No. 1, 35-44 (1990). Reviewer: J.L.Viviente (Zaragoza) MSC: 57R30 17B65 58A30 PDFBibTeX XMLCite \textit{Tong Van Duc}, Collect. Math. 41, No. 1, 35--44 (1990; Zbl 0737.57014) Full Text: EuDML
Mickelsson, Jouko Current algebras and groups. (English) Zbl 0726.22015 Plenum Monographs in Nonlinear Physics. New York etc.: Plenum Press. xvii, 313 p. $ 79.50 (1989). Reviewer: A.N.Pressley (London) MSC: 22E65 81R10 17B65 22-02 58B25 17B81 17B66 22E70 58D05 PDFBibTeX XMLCite \textit{J. Mickelsson}, Current algebras and groups. New York etc.: Plenum Press (1989; Zbl 0726.22015)
Quillen, Daniel Superconnection character forms and the Cayley transform. (English) Zbl 0671.57013 Topology 27, No. 2, 211-238 (1988). Reviewer: K.H.Mayer MSC: 57R20 55R50 58A12 55R35 55R40 53C05 55R10 PDFBibTeX XMLCite \textit{D. Quillen}, Topology 27, No. 2, 211--238 (1988; Zbl 0671.57013) Full Text: DOI
Arbarello, E.; De Concini, C.; Kac, V. G.; Procesi, C. Moduli spaces of curves and representation theory. (English) Zbl 0647.17010 Commun. Math. Phys. 117, No. 1, 1-36 (1988). Reviewer: A.N.Pressley MSC: 17B66 58B25 32G15 17B56 PDFBibTeX XMLCite \textit{E. Arbarello} et al., Commun. Math. Phys. 117, No. 1, 1--36 (1988; Zbl 0647.17010) Full Text: DOI
Klein, J. On Lie algebras of vector fields defined by vector forms. (English) Zbl 0646.58002 Topics in differential geometry, Pap. Colloq., Hajduszoboszló/Hung. 1984, Vol. 1, Colloq. Math. Soc. János Bolyai 46, 665-686 (1988). Reviewer: M.Puta MSC: 58A10 17B65 PDFBibTeX XML
Serov, A. A. A realization of the Hamiltonian Lie superalgebra. (Russian) Zbl 0702.17012 Vopr. Teor. Grupp Gomologicheskoj Algebry 7, 164-167 (1987). Reviewer: Alice Fialowski (Budapest) MSC: 17B70 58A50 17B66 PDFBibTeX XML
Tong van Duc Algèbre de Lie attachée à la forme canonique sur le fibré des repères transverses. (The Lie algebra attached to the canonical form on the bundle of transversal bases). (French) Zbl 0625.57015 J. Math. Pures Appl., IX. Sér. 66, 265-271 (1987). Reviewer: I.Vaisman MSC: 57R30 17B56 17B65 PDFBibTeX XMLCite \textit{Tong van Duc}, J. Math. Pures Appl. (9) 66, 265--271 (1987; Zbl 0625.57015)
Robinson, P. L. A cohomological pairing of half-forms. (English) Zbl 0623.17010 Trans. Am. Math. Soc. 301, 251-261 (1987). MSC: 17B56 53C15 81S10 PDFBibTeX XMLCite \textit{P. L. Robinson}, Trans. Am. Math. Soc. 301, 251--261 (1987; Zbl 0623.17010) Full Text: DOI
Duc, Tong-Van Tenseur covariant canonique sur le fibré cotangent d’ordre 2. (Canonical covariant tensor on the cotangent bundle of order 2). (French) Zbl 0611.53012 Bull. Sci. Math., II. Sér. 110, 289-301 (1986). Reviewer: Guo Zhong-heng MSC: 53A55 17B65 58A30 PDFBibTeX XMLCite \textit{T.-V. Duc}, Bull. Sci. Math., II. Sér. 110, 289--301 (1986; Zbl 0611.53012)
Mathai, Varghese; Quillen, Daniel Superconnections, Thom classes, and equivariant differential forms. (English) Zbl 0592.55015 Topology 25, 85-110 (1986). Reviewer: L.Maxim MSC: 55R50 55T10 55R40 55R25 58A12 PDFBibTeX XMLCite \textit{V. Mathai} and \textit{D. Quillen}, Topology 25, 85--110 (1986; Zbl 0592.55015) Full Text: DOI
Tong Van Duc Forme canonique sur le dual du fibré transverse. (Canonical form on the dual of the transverse bundle). (French) Zbl 0591.57011 Ann. Fac. Sci. Toulouse, V. Sér., Math. 7, 169-177 (1985). MSC: 57R30 58H10 17B56 PDFBibTeX XMLCite \textit{Tong Van Duc}, Ann. Fac. Sci. Toulouse, Math. (5) 7, 169--177 (1985; Zbl 0591.57011) Full Text: DOI Numdam EuDML
Tolokonnikov, G. K. Algebras of observables of nearly canonical physical theories. II. (English. Russian original) Zbl 0586.47048 Theor. Math. Phys. 61, 1072-1087 (1984); translation from Teor. Mat. Fiz. 61, No. 2, 144-182 (1984). Reviewer: P.E.T.Jørgensen MSC: 47L90 46N99 17B65 81S05 47B25 47B47 PDFBibTeX XMLCite \textit{G. K. Tolokonnikov}, Theor. Math. Phys. 61, 1072--1087 (1984; Zbl 0586.47048); translation from Teor. Mat. Fiz. 61, No. 2, 144--182 (1984) Full Text: DOI
Connes, Alain; Karoubi, Max Caractère multiplicatif d’un module de Fredholm. (Multiplicative character of a Fredholm module). (French) Zbl 0572.46060 C. R. Acad. Sci., Paris, Sér. I 299, 963-968 (1984). MSC: 46M20 55R50 46L10 17B56 46H25 PDFBibTeX XMLCite \textit{A. Connes} and \textit{M. Karoubi}, C. R. Acad. Sci., Paris, Sér. I 299, 963--968 (1984; Zbl 0572.46060)
Guedira, Fouzia; Lichnerowicz, André Géométrie des algèbres de Lie locales de Kirillov. (French) Zbl 0562.53029 J. Math. Pures Appl., IX. Sér. 63, 407-484 (1984). Reviewer: F.Rouviere MSC: 53C15 37J99 17B65 PDFBibTeX XMLCite \textit{F. Guedira} and \textit{A. Lichnerowicz}, J. Math. Pures Appl. (9) 63, 407--484 (1984; Zbl 0562.53029)
Kiranagi, Basavanappa S. Semi-simple Lie algebra bundles. (English) Zbl 0544.55019 Bull. Math. Soc. Sci. Math. Répub. Soc. Roum., Nouv. Sér. 27(75), 253-257 (1983). MSC: 55R25 17B99 55R15 17B20 PDFBibTeX XMLCite \textit{B. S. Kiranagi}, Bull. Math. Soc. Sci. Math. Répub. Soc. Roum., Nouv. Sér. 27(75), 253--257 (1983; Zbl 0544.55019)
Rempel, Stephan; Schmitt, T. Pseudo-differential operators and the index theorem on supermanifolds. (English) Zbl 0531.58047 Math. Nachr. 111, 153-175 (1983). Reviewer: M.E.Mayer MSC: 58J20 58J40 43A32 PDFBibTeX XMLCite \textit{S. Rempel} and \textit{T. Schmitt}, Math. Nachr. 111, 153--175 (1983; Zbl 0531.58047) Full Text: DOI
Urwin, R. W. The prequantization representations of the Poisson Lie algebra. (English) Zbl 0527.58021 Adv. Math. 50, 126-154 (1983). MSC: 53D50 53C80 58A12 17B65 PDFBibTeX XMLCite \textit{R. W. Urwin}, Adv. Math. 50, 126--154 (1983; Zbl 0527.58021) Full Text: DOI
Lehmann-Lejeune, Josiane Cohomologie sur le fibré transverse à un feuilletage. (French) Zbl 0538.57012 C. R. Acad. Sci., Paris, Sér. I 295, 495-498 (1982). Reviewer: I.S.Moskowitz MSC: 57R30 17B45 17B65 17B40 PDFBibTeX XMLCite \textit{J. Lehmann-Lejeune}, C. R. Acad. Sci., Paris, Sér. I 295, 495--498 (1982; Zbl 0538.57012)
De Wilde, Marc; Lecomte, Pierre B. A. Isomorphisms of Lie algebras of vector fields. (English) Zbl 0516.58052 Commentat. Math. Univ. Carol. 23, 513-523 (1982). MSC: 58H05 58A05 17B65 PDFBibTeX XMLCite \textit{M. De Wilde} and \textit{P. B. A. Lecomte}, Commentat. Math. Univ. Carol. 23, 513--523 (1982; Zbl 0516.58052) Full Text: EuDML
Lecomte, Pierre Caractérisation des variétés par des algèbres de Lie de dimension infinie. (French) Zbl 0502.55010 Actualites mathematiques, Actes 6e Congr. Group. Math. Expr. Latine, Luxembourg 1981, 285-287 (1982). MSC: 55R25 58A99 17B65 PDFBibTeX XML
De Wilde, Marc On the local Chevalley cohomology of the dynamical Lie algebra of a symplectic manifold. (English) Zbl 0476.58012 Lett. Math. Phys. 5, 351-358 (1981). MSC: 37J99 17B56 53C15 53D50 57R25 17B65 PDFBibTeX XMLCite \textit{M. De Wilde}, Lett. Math. Phys. 5, 351--358 (1981; Zbl 0476.58012) Full Text: DOI
Ratiu, Tudor; Schmid, Rudolf The differentiable structure of three remarkable diffeomorphism groups. (English) Zbl 0451.58011 Math. Z. 177, 81-100 (1981). MSC: 58D05 17B65 37J99 53D50 58J40 PDFBibTeX XMLCite \textit{T. Ratiu} and \textit{R. Schmid}, Math. Z. 177, 81--100 (1981; Zbl 0451.58011) Full Text: DOI EuDML
Ratiu, Tudor; Schmid, Rudolf The differentiable structure of three remarkable diffeomorphism groups. (English) Zbl 0441.58004 Math. Z. (to appear). MSC: 58D05 17B65 37J99 53D50 58J40 PDFBibTeX XML Full Text: EuDML
Lecomte, Pierre B. A. Note on the linear endomorphisms of a vector bundle. (English) Zbl 0448.58003 Manuscr. Math. 32, 231-238 (1980). MSC: 58D99 58D15 55R25 17B65 PDFBibTeX XMLCite \textit{P. B. A. Lecomte}, Manuscr. Math. 32, 231--238 (1980; Zbl 0448.58003) Full Text: DOI EuDML
Shamaeva, I. M. Stability of local Lie algebras on compact manifolds. (English) Zbl 0431.58004 Russ. Math. Surv. 34, No. 2, 247-248 (1979). MSC: 58A99 58A10 58C05 53C15 17B65 58C25 PDFBibTeX XMLCite \textit{I. M. Shamaeva}, Russ. Math. Surv. 34, No. 2, 247--248 (1979; Zbl 0431.58004) Full Text: DOI