Reimaa, Ülo; Van der Linden, Tim; Vienne, Corentin Associativity and the cosmash product in operadic varieties of algebras. (English) Zbl 07783571 Ill. J. Math. 67, No. 3, 563-598 (2023). Reviewer: Loïc Foissy (Calais) MSC: 18M70 08C05 18C05 18E13 17A36 08A35 PDFBibTeX XMLCite \textit{Ü. Reimaa} et al., Ill. J. Math. 67, No. 3, 563--598 (2023; Zbl 07783571) Full Text: DOI arXiv Link
Wafo Soh, Célestin An evolutionary approach to the automatic classification of automorphisms of lower-dimensional Lie algebras. (English) Zbl 1502.17002 Exp. Math. 30, No. 2, 191-199 (2021). MSC: 17-04 17-08 17B40 PDFBibTeX XMLCite \textit{C. Wafo Soh}, Exp. Math. 30, No. 2, 191--199 (2021; Zbl 1502.17002) Full Text: DOI arXiv
Feger, Robert; Kephart, Thomas W.; Saskowski, Robert J. LieART 2.0 – a Mathematica application for Lie algebras and representation theory. (English) Zbl 1515.17005 Comput. Phys. Commun. 257, Article ID 107490, 24 p. (2020). MSC: 17-08 17-04 17B10 17B22 22-08 PDFBibTeX XMLCite \textit{R. Feger} et al., Comput. Phys. Commun. 257, Article ID 107490, 24 p. (2020; Zbl 1515.17005) Full Text: DOI arXiv
Casati, Matteo; Valeri, Daniele MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine \(\mathcal{W}\)-algebras. (English) Zbl 1442.37006 Boll. Unione Mat. Ital. 11, No. 4, 503-531 (2018). MSC: 17-04 17B63 17B65 17B69 68W30 65Y15 PDFBibTeX XMLCite \textit{M. Casati} and \textit{D. Valeri}, Boll. Unione Mat. Ital. 11, No. 4, 503--531 (2018; Zbl 1442.37006) Full Text: DOI arXiv
Fré, Pietro Giuseppe; Fedotov, Alexander Groups and manifolds. Lectures for physicists with examples in Mathematica. (English) Zbl 1385.53001 De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-055119-8/pbk; 978-3-11-055120-4/ebook). xix, 475 p. (2018). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53-01 20-01 17-01 00A06 PDFBibTeX XMLCite \textit{P. G. Fré} and \textit{A. Fedotov}, Groups and manifolds. Lectures for physicists with examples in Mathematica. Berlin: De Gruyter (2018; Zbl 1385.53001) Full Text: DOI
Casas, J. M.; Insua, M. A.; Ladra, M.; Ladra, S. Test for Leibniz \(n\)-algebra structure. (English) Zbl 1382.17004 Linear Algebra Appl. 494, 138-155 (2016). MSC: 17A32 17-04 68W30 13P10 PDFBibTeX XMLCite \textit{J. M. Casas} et al., Linear Algebra Appl. 494, 138--155 (2016; Zbl 1382.17004) Full Text: DOI
Feger, Robert; Kephart, Thomas W. LieART – a Mathematica application for Lie algebras and representation theory. (English) Zbl 1375.68226 Comput. Phys. Commun. 192, 166-195 (2015). MSC: 17-08 17B10 22-08 68W30 PDFBibTeX XMLCite \textit{R. Feger} and \textit{T. W. Kephart}, Comput. Phys. Commun. 192, 166--195 (2015; Zbl 1375.68226) Full Text: DOI arXiv
Hall, Brian Lie groups, Lie algebras, and representations. An elementary introduction. 2nd ed. (English) Zbl 1316.22001 Graduate Texts in Mathematics 222. Cham: Springer (ISBN 978-3-319-13466-6/hbk; 978-3-319-13467-3/ebook). xiii, 449 p. (2015). MSC: 22-01 22E60 17-01 PDFBibTeX XMLCite \textit{B. Hall}, Lie groups, Lie algebras, and representations. An elementary introduction. 2nd ed. Cham: Springer (2015; Zbl 1316.22001) Full Text: DOI
Oussa, Vignon Computing Vergne polarizing subalgebras. (English) Zbl 1350.17010 Linear Multilinear Algebra 63, No. 3, 578-585 (2015). MSC: 17B30 17-04 17-08 PDFBibTeX XMLCite \textit{V. Oussa}, Linear Multilinear Algebra 63, No. 3, 578--585 (2015; Zbl 1350.17010) Full Text: DOI arXiv
Nazarov, Anton Affine.m – Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras. (English) Zbl 1301.17001 Comput. Phys. Commun. 183, No. 11, 2480-2493 (2012). MSC: 17-04 17-08 17B10 17B67 68W30 PDFBibTeX XMLCite \textit{A. Nazarov}, Comput. Phys. Commun. 183, No. 11, 2480--2493 (2012; Zbl 1301.17001) Full Text: DOI arXiv
Casas, Fernando; Murua, Ander; Nadinic, Mladen Efficient computation of the Zassenhaus formula. (English) Zbl 1318.17001 Comput. Phys. Commun. 183, No. 11, 2386-2391 (2012). Reviewer: Sara Madariaga Merino (Logroño) MSC: 17-08 17B05 68W30 PDFBibTeX XMLCite \textit{F. Casas} et al., Comput. Phys. Commun. 183, No. 11, 2386--2391 (2012; Zbl 1318.17001) Full Text: DOI arXiv Link
Casas Miras, José Manuel; Insua Hermo, Manuel Avelino; Ladra Gonzalez, Manuel An algorithm for the classification of 3-dimensional complex Leibniz algebras. (English) Zbl 1280.17004 Linear Algebra Appl. 436, No. 9, 3747-3756 (2012). MSC: 17A32 17-08 13P10 68W30 PDFBibTeX XMLCite \textit{J. M. Casas Miras} et al., Linear Algebra Appl. 436, No. 9, 3747--3756 (2012; Zbl 1280.17004) Full Text: DOI
Cabezas, J. M.; Camacho, L. M.; Gómez, J. R.; Omirov, B. A. On the description of Leibniz algebras with nilindex \(n-3\). (English) Zbl 1299.17001 Acta Math. Hung. 133, No. 3, 203-220 (2011). MSC: 17A32 17A36 17A60 17B70 PDFBibTeX XMLCite \textit{J. M. Cabezas} et al., Acta Math. Hung. 133, No. 3, 203--220 (2011; Zbl 1299.17001) Full Text: DOI arXiv
Camacho, L. M.; Gómez, J. R.; González, A. J.; Omirov, B. A. Naturally graded quasi-filiform Leibniz algebras. (English) Zbl 1163.17003 J. Symb. Comput. 44, No. 5, 527-539 (2009). MSC: 17A32 17-08 PDFBibTeX XMLCite \textit{L. M. Camacho} et al., J. Symb. Comput. 44, No. 5, 527--539 (2009; Zbl 1163.17003) Full Text: DOI
Camacho, L. M.; Gómez, J. R.; Navarro, R. M. Heisenberg superalgebras. (English) Zbl 1162.17010 Int. J. Comput. Math. 86, No. 1, 67-78 (2009). Reviewer: Ernesto Spinelli (Lecce) MSC: 17B30 17B56 17B40 17-08 PDFBibTeX XMLCite \textit{L. M. Camacho} et al., Int. J. Comput. Math. 86, No. 1, 67--78 (2009; Zbl 1162.17010) Full Text: DOI Link
Noël, Alfred G. Maximal tori of reductive centralizers of nilpotents in exceptional complex symmetric spaces: a computational approach. (English) Zbl 1226.17006 Noël, Alfred G. (ed.) et al., Council for African American Researchers in the Mathematical Sciences. Volume V. Selected papers from the 13th conference for African American Researchers in the mathematical sciences (CAARMS), Boston, MA, USA, June 19–22, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4457-1/pbk). Contemporary Mathematics 467, 103-139 (2008). Reviewer: Angel Francisco Tenorio Villalon (Seville) MSC: 17B08 17B20 17B05 17B10 17-08 22E10 22E30 17B22 PDFBibTeX XMLCite \textit{A. G. Noël}, Contemp. Math. 467, 103--139 (2008; Zbl 1226.17006)
Gómez, J. R.; Jiménez-Merchán, A.; Reyes, J. Quasi-filiform Lie algebras of great length. (English) Zbl 1180.17003 J. Algebra 320, No. 2, 586-611 (2008). Reviewer: Pasha Zusmanovich (Reykjavik) MSC: 17B30 17-04 17B70 PDFBibTeX XMLCite \textit{J. R. Gómez} et al., J. Algebra 320, No. 2, 586--611 (2008; Zbl 1180.17003) Full Text: DOI
Broughan, Kevin A. Computing Casimir operators for the generalized upper half plane. (English) Zbl 1165.17001 Int. J. Pure Appl. Math. 41, No. 4, 549-560 (2007). Reviewer: Samuel James Patterson (Göttingen) MSC: 17-04 16S30 17B35 PDFBibTeX XMLCite \textit{K. A. Broughan}, Int. J. Pure Appl. Math. 41, No. 4, 549--560 (2007; Zbl 1165.17001)
Garajeu, Daniela; Gărăjeu, Mihail Three-dimensional subalgebras of simple Lie algebras: a Mathematica package. (English) Zbl 1043.22010 J. Phys. A, Math. Gen. 37, No. 3, 677-691 (2004). MSC: 17B20 17-08 81R05 81-08 22E60 PDFBibTeX XMLCite \textit{D. Garajeu} and \textit{M. Gărăjeu}, J. Phys. A, Math. Gen. 37, No. 3, 677--691 (2004; Zbl 1043.22010) Full Text: DOI
Gărăjeu, Daniela; Gărăjeu, Mihail Mathematica\(^{\text{TM}}\) packages for computing principal decompositions of simple Lie algebras and applications in extended conformal field theories. (English) Zbl 1082.17001 Int. J. Mod. Phys. C 14, No. 1, 1-27 (2003). MSC: 17-08 17B20 17B81 81R05 81T40 81-08 PDFBibTeX XMLCite \textit{D. Gărăjeu} and \textit{M. Gărăjeu}, Int. J. Mod. Phys. C 14, No. 1, 1--27 (2003; Zbl 1082.17001) Full Text: DOI
Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina Defining relations for the exceptional Lie superalgebras of vector fields. (English) Zbl 1080.17013 Duval, Christian (ed.) et al., The orbit method in geometry and physics. In honor of A. A. Kirillov. Papers from the international conference, Marseille, France, December 4–8, 2000. Boston, MA: Birkhäuser (ISBN 0-8176-4232-3/hbk). Prog. Math. 213, 101-146 (2003). Reviewer: Pasha Zusmanovich (Ramat Gan) MSC: 17B66 17-08 17B55 17B56 PDFBibTeX XMLCite \textit{P. Grozman} et al., Prog. Math. 213, 101--146 (2003; Zbl 1080.17013) Full Text: arXiv
Noël, Alfred G. Computing maximal tori using LiE and Mathematica. (English) Zbl 1033.68963 Sloot, Peter M. A. (ed.) et al., Computational science – ICCS 2003. International conference, Melbourne, Australia and St. Petersburg, Russia, June 2–4, 2003. Proceedings, Part I. Berlin: Springer (ISBN 3-540-40194-6/pbk). Lect. Notes Comput. Sci. 2657, 728-736 (2003). MSC: 68W30 22E15 17-08 17B08 PDFBibTeX XMLCite \textit{A. G. Noël}, Lect. Notes Comput. Sci. 2657, 728--736 (2003; Zbl 1033.68963) Full Text: Link
Alberca Bjerregaard, Pablo; Martín González, Cándido Computational approach to the simplicity of \(f_{4}(O_{s},-)\) in the characteristic two case. (English) Zbl 1041.17030 J. Comput. Appl. Math. 158, No. 1, 1-10 (2003). MSC: 17C50 17B40 17-08 17-04 PDFBibTeX XMLCite \textit{P. Alberca Bjerregaard} and \textit{C. Martín González}, J. Comput. Appl. Math. 158, No. 1, 1--10 (2003; Zbl 1041.17030) Full Text: DOI
Gómez, J. R.; Jiménez-Merchán, A. Naturally graded quasi-filiform Lie algebras. (English) Zbl 1030.17007 J. Algebra 256, No. 1, 211-228 (2002). Reviewer: Rutwig Campoamor-Stursberg (Mulhouse) MSC: 17B30 17B70 17-08 PDFBibTeX XMLCite \textit{J. R. Gómez} and \textit{A. Jiménez-Merchán}, J. Algebra 256, No. 1, 211--228 (2002; Zbl 1030.17007) Full Text: DOI
Camacho, L. M.; Gómez, J. R.; Navarro, R. M.; Rodríguez, I. Mathematica and nilpotent Lie superalgebras. (English) Zbl 0992.17007 Ganzha, Victor G. (ed.) et al., Computer algebra in scientific computing, CASC 2001. Proceedings of the 4th international workshop, Konstanz, Germany, September 22-26, 2001. Berlin: Springer. 91-105 (2001). Reviewer: Daniel Beltita (Bucureşti) MSC: 17B30 17-08 68W30 PDFBibTeX XMLCite \textit{L. M. Camacho} et al., in: Computer algebra in scientific computing, CASC 2001. Proceedings of the 4th international workshop, Konstanz, Germany, September 22--26, 2001. Berlin: Springer. 91--105 (2001; Zbl 0992.17007)
Camacho, L. M.; Gómez, J. R.; Navarro, R. M. Algebra of derivations of Lie algebras. (English) Zbl 0978.17009 Linear Algebra Appl. 332-334, No. 1-3, 371-380 (2001). Reviewer: Ernest L.Stitzinger (Raleigh) MSC: 17B40 17-08 PDFBibTeX XMLCite \textit{L. M. Camacho} et al., Linear Algebra Appl. 332--334, 371--380 (2001; Zbl 0978.17009) Full Text: DOI
Camacho, L. M.; Gómez, J. R.; Navarro, R. M.; Rodríguez, I. Effective computation of algebra of derivations of Lie algebras. (English) Zbl 1026.17002 Ganzha, Viktor G. (ed.) et al., Computer algebra in scientific computing. CASC 2000. Proceedings of the 3rd workshop, Samarkand, Uzbekistan, October 5-9, 2000. Berlin: Springer. 101-111 (2000). Reviewer: Daniel Beltita (Bucureşti) MSC: 17-08 17B40 68W30 17B30 PDFBibTeX XMLCite \textit{L. M. Camacho} et al., in: Computer algebra in scientific computing. CASC 2000. Proceedings of the 3rd workshop, Samarkand, Uzbekistan, October 5--9, 2000. Berlin: Springer. 101--111 (2000; Zbl 1026.17002)
Camacho, L. M.; Gómez, J. R.; Navarro, R. M. Cohomology of some nilpotent Lie algebras. (English) Zbl 0962.17003 Extr. Math. 15, No. 1, 155-174 (2000). Reviewer: Daniel Beltita (Bucureşti) MSC: 17B30 17B40 17-04 17B55 PDFBibTeX XMLCite \textit{L. M. Camacho} et al., Extr. Math. 15, No. 1, 155--174 (2000; Zbl 0962.17003) Full Text: EuDML
Gómez, J. R.; Navarro, R. M. Spaces of derivatives of Lie algebras with Mathematica. (Spanish) Zbl 1113.17300 Alonso, M.E. (ed.) et al., EACA-98. 4th meeting on computational algebra and applications, Sigüenza, Spain, September 14–16, 1998. Alcalá: Univ. de Alcalá, Departamento de Matemáticas; Madrid: Univ. Complutense, Departamento de Álgebra. 51-61 (1998). MSC: 17-08 68W30 PDFBibTeX XMLCite \textit{J. R. Gómez} and \textit{R. M. Navarro}, in: EACA-98. Cuarto encuentro de algebra computacional y aplicaciones. Sigüenza, 14--16 de Septiembre, 1998. Alcalá: Univ. de Alcalá, Departamento de Matemáticas; Madrid: Univ. Complutense, Departamento de Álgebra. 51--61 (1998; Zbl 1113.17300)
Gómez, J. R.; Jiménez-Merchán, A.; Núñez-Valdés, J. An algorithm to obtain laws of families of filiform Lie algebras. (English) Zbl 0966.17007 Linear Algebra Appl. 279, No. 1-3, 1-12 (1998). MSC: 17B30 17-08 PDFBibTeX XMLCite \textit{J. R. Gómez} et al., Linear Algebra Appl. 279, No. 1--3, 1--12 (1998; Zbl 0966.17007) Full Text: DOI
Grozman, P.; Leites, D. Mathematica-aided study of Lie algebras and their cohomology – from supergravity to ballbearings and magnetic hydrodynamics. (English) Zbl 1059.17500 Keränen, Veikko (ed.) et al., Innovation in mathematics. Proceedings of the 2nd international Mathematica symposium, Rovaniemi, Finland, July 1997. Southampton: CMP, Computational Mechanics Publications (ISBN 1-85312-505-9). 185-192 (1997). MSC: 17-08 17-04 17B56 17B10 58A50 PDFBibTeX XMLCite \textit{P. Grozman} and \textit{D. Leites}, in: Innovation in mathematics. Proceedings of the 2nd international \(Mathematica\) symposium, Rovaniemi, Finland, July 1997. Southampton: CMP, Computational Mechanics Publications. 185--192 (1997; Zbl 1059.17500)
Gómez, J. R.; Jimenéz-Merchán, A.; Khakimdjanov, Y. Classifying filiform Lie algebras with Mathematica. (English) Zbl 1072.17502 Keränen, Veikko (ed.) et al., Innovation in mathematics. Proceedings of the 2nd international Mathematica symposium, Rovaniemi, Finland, July 1997. Southampton: CMP, Computational Mechanics Publications (ISBN 1-85312-505-9). 169-176 (1997). MSC: 17B30 17-04 PDFBibTeX XMLCite \textit{J. R. Gómez} et al., in: Innovation in mathematics. Proceedings of the 2nd international \(Mathematica\) symposium, Rovaniemi, Finland, July 1997. Southampton: CMP, Computational Mechanics Publications. 169--176 (1997; Zbl 1072.17502)
Bérubé, D.; de Montigny, M. The computer calculation of graded contractions of Lie algebras and their representations. (English) Zbl 0851.17002 Comput. Phys. Commun. 76, No. 2-3, 389-410 (1993). MSC: 17-08 17B05 17B70 PDFBibTeX XMLCite \textit{D. Bérubé} and \textit{M. de Montigny}, Comput. Phys. Commun. 76, No. 2--3, 389--410 (1993; Zbl 0851.17002) Full Text: DOI
Jacobs, D. Pokrass; Muddana, Sekhar V.; Offutt, A. Jefferson A computer algebra system for nonassociative identities. (English) Zbl 0795.17001 Myung, Hyo Chul (ed.), Proceedings of the fifth international conference on hadronic mechanics and nonpotential interactions, held at the University of Northern Iowa, Cedar Falls, Iowa, USA, August 13-17, 1990. Part 1: Mathematics. New York: Nova Science Publishers. 185-195 (1992). MSC: 17-08 68W30 17A30 PDFBibTeX XMLCite \textit{D. P. Jacobs} et al., in: Proceedings of the fifth international conference on hadronic mechanics and nonpotential interactions, held at the University of Northern Iowa, Cedar Falls, Iowa, USA, August 13-17, 1990. Part 1: Mathematics. New York: Nova Science Publishers. 185--195 (1992; Zbl 0795.17001)
Papers from the colloquium on the quantum groups, Prague, Czech Republic, June 18–20, 1992. (English) Zbl 0945.00505 Czech. J. Phys. 42, No. 12, 1265-1369 (1992). MSC: 00B25 81-06 17-06 17B37 81R50 PDFBibTeX XMLCite Czech. J. Phys. 42, No. 12, 1265--1369 (1992; Zbl 0945.00505) Full Text: DOI
Montorsi, A.; Rasetti, M. Symbolic manipulation techniques for (\(\mathbb{Z}_ 2\)-graded) Lie, Hopf, and Hecke algebras. (English) Zbl 0789.17001 Rend. Semin. Fac. Sci. Univ. Cagliari 61, No. 1, 107-110 (1991). MSC: 17-08 17B70 68W30 83-08 PDFBibTeX XMLCite \textit{A. Montorsi} and \textit{M. Rasetti}, Rend. Semin. Fac. Sci. Univ. Cagliari 61, No. 1, 107--110 (1991; Zbl 0789.17001)