Fleischmann, Peter Projective simple modules of symmetric algebras and their specializations with applications to Hecke algebras. (English) Zbl 0790.20007 Arch. Math. 55, No. 3, 247-258 (1990). Reviewer: A.Krieg (Münster) MSC: 20C05 20C20 16D40 20C33 16D60 PDFBibTeX XMLCite \textit{P. Fleischmann}, Arch. Math. 55, No. 3, 247--258 (1990; Zbl 0790.20007) Full Text: DOI
Umirbaev, U. U. On the approximation of free Lie algebras with respect to entry. (Russian. English summary) Zbl 0798.17002 Roomeldi, R. (ed.), Monoids, rings and algebras. Tartu: Tartuskij Universitet, Tartu Ülik. Toim., Mat.-Meh.-Alaseid Töid. 878, 147-152 (1990); correction Uch. Zap. Tartu. Gos. Univ. 899, 137-138 (1990). Reviewer: V.A.Artamonov (Moskva) MSC: 17B01 17B65 PDFBibTeX XMLCite \textit{U. U. Umirbaev}, in: Monoidy, kol'tsa i algebry. Tartu: Tartuskij Universitet. 147--152 (1990; Zbl 0798.17002)
Ekici, N. Lie algebras with solvable word problem. (English) Zbl 0801.17003 Istanb. Üniv. Fen Fak. Mat. Derg. 49, 21-23 (1990). Reviewer: M.Boral (Adana) MSC: 17B01 17A50 PDFBibTeX XMLCite \textit{N. Ekici}, İstanb. Üniv. Fen Fak. Mat. Derg. 49, 21--23 (1990; Zbl 0801.17003)
Boe, Brian D.; Collingwood, David H. Multiplicity free categories of highest weight representations. I, II. (English) Zbl 0757.17005 Commun. Algebra 18, No. 4, 947-1032, 1033-1070 (1990). MSC: 17B10 17B55 22E47 PDFBibTeX XMLCite \textit{B. D. Boe} and \textit{D. H. Collingwood}, Commun. Algebra 18, No. 4, 947--1032, 1033--1070 (1990; Zbl 0757.17005) Full Text: DOI
Combinatorial theory and related topics. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, March 14-17, 1990. (Japanese) Zbl 0784.05003 RIMS Kôkyûroku. 735. Kyoto: Kyoto University, Research Institute for Mathematical Sciences, ii, 214 p. (1990). MSC: 05-06 20-06 00B25 20F55 20M05 05E30 05A19 17B20 52B05 55U10 PDFBibTeX XMLCite Combinatorial theory and related topics. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, March 14-17, 1990 (Japanese). Kyoto: Kyoto University, Research Institute for Mathematical Sciences (1990; Zbl 0784.05003)
Wildberger, N. J. On a relationship between adjoint orbits and conjugacy classes of a Lie group. (English) Zbl 0731.22007 Can. Math. Bull. 33, No. 3, 297-304 (1990). Reviewer: S.Kumar (Bombay) MSC: 22E15 22E05 17B01 PDFBibTeX XMLCite \textit{N. J. Wildberger}, Can. Math. Bull. 33, No. 3, 297--304 (1990; Zbl 0731.22007) Full Text: DOI
Drensky, Vesselin Automorphisms of relatively free algebras. (English) Zbl 0726.16019 Commun. Algebra 18, No. 12, 4323-4351 (1990). Reviewer: V.A.Artamonov (Moskva) MSC: 16R10 17B01 16W20 17B40 16S50 PDFBibTeX XMLCite \textit{V. Drensky}, Commun. Algebra 18, No. 12, 4323--4351 (1990; Zbl 0726.16019)
Singer, P. E. Serre relations. (English) Zbl 0722.17016 Lie algebras and related topics, Proc. Res. Conf., Madison/WI (USA) 1988, Contemp. Math. 110, 231-239 (1990). Reviewer: G.Brown (Boulder) MSC: 17B67 17B01 PDFBibTeX XML
Carey, A. L.; Eastwood, M. G.; Hannabuss, K. C. Riemann surfaces, Clifford algebras and infinite dimensional groups. (English) Zbl 0721.30034 Commun. Math. Phys. 130, No. 2, 217-236 (1990). MSC: 30F99 30G35 17B81 17B67 17B20 PDFBibTeX XMLCite \textit{A. L. Carey} et al., Commun. Math. Phys. 130, No. 2, 217--236 (1990; Zbl 0721.30034) Full Text: DOI
Bergeron, F.; Bergeron, N.; Garsia, A. M. Idempotents for the free Lie algebra and q-enumeration. (English) Zbl 0721.17006 Invariant theory and tableaux, Proc. Workshop, Minneapolis/MN (USA) 1988, IMA Vol. Math. Appl. 19, 166-190 (1990). Reviewer: M.Boral (Adana) MSC: 17B01 20C30 05E10 PDFBibTeX XML
Mishchenko, S. P. Growth in varieties of Lie algebras. (English. Russian original) Zbl 0718.17004 Russ. Math. Surv. 45, No. 6, 27-52 (1990); translation from Usp. Mat. Nauk 45, No. 6(276), 25-45 (1990). Reviewer: V.Drensky (Sofia) MSC: 17B01 17B30 16R10 17-02 PDFBibTeX XMLCite \textit{S. P. Mishchenko}, Russ. Math. Surv. 45, No. 6, 27--52 (1990; Zbl 0718.17004); translation from Usp. Mat. Nauk 45, No. 6(276), 25--45 (1990) Full Text: DOI
Grayson, Matthew; Grossman, Robert Models for free nilpotent Lie algebras. (English) Zbl 0717.17006 J. Algebra 135, No. 1, 177-191 (1990). Reviewer: J.Hilgert MSC: 17B01 93B29 17B30 17B66 PDFBibTeX XMLCite \textit{M. Grayson} and \textit{R. Grossman}, J. Algebra 135, No. 1, 177--191 (1990; Zbl 0717.17006) Full Text: DOI
Havas, George; Newman, M. F.; Vaughan-Lee, M. R. A nilpotent quotient algorithm for graded Lie rings. (English) Zbl 0716.17001 J. Symb. Comput. 9, No. 5-6, 653-664 (1990). Reviewer: E.Khukhro MSC: 17-08 17B01 17B30 17B50 20F40 68W30 20F50 PDFBibTeX XMLCite \textit{G. Havas} et al., J. Symb. Comput. 9, No. 5--6, 653--664 (1990; Zbl 0716.17001) Full Text: DOI
Labute, John P. The Lie algebra associated to the lower central series of a free product of cyclic groups of prime order p. (English) Zbl 0715.20024 Combinatorial group theory, Proc. AMS Spec. Sess., College Park, MD, USA 1988, Contemp. Math. 109, 91-98 (1990). Reviewer: H.V.Waldinger MSC: 20F40 20E06 20F14 17B01 PDFBibTeX XML
Krasil’nikov, A. N.; Shmel’kin, A. L. On finite bases for laws of triangular matrices. (English) Zbl 0715.17007 Groups, Sel. Pap. Aust. Natl. Univ. Group Theory Program, 3rd Int. Conf. Theory Groups Rel. Top., Canberra/Aust. 1989, Lect. Notes Math. 1456, 10-13 (1990). MSC: 17B01 16R10 16R50 20E10 20C15 PDFBibTeX XML
Mishchenko, S. P. A variant of the height theorem for Lie algebras. (English. Russian original) Zbl 0715.17006 Math. Notes 47, No. 4, 368-372 (1990); translation from Mat. Zametki 47, No. 4, 83-89 (1990). MSC: 17B01 17B99 16R10 PDFBibTeX XMLCite \textit{S. P. Mishchenko}, Math. Notes 47, No. 4, 368--372 (1990; Zbl 0715.17006); translation from Mat. Zametki 47, No. 4, 83--89 (1990) Full Text: DOI
Lipsman, Ronald L. Orbital decompositions of representations of non-simply connected nilpotent groups. (English) Zbl 0714.22007 Bull. Aust. Math. Soc. 42, No. 2, 293-306 (1990). Reviewer: H.Fujiwara MSC: 22E27 22E25 22D30 22E45 PDFBibTeX XMLCite \textit{R. L. Lipsman}, Bull. Aust. Math. Soc. 42, No. 2, 293--306 (1990; Zbl 0714.22007) Full Text: DOI
Razmyslov, Yu. P. On finitely generated simple Lie algebras satisfying the standard Lie identity of degree 5. (English. Russian original) Zbl 0714.17005 Mosc. Univ. Math. Bull. 45, No. 3, 39-41 (1990); translation from Vestn. Mosk. Univ., Ser. I 1990, No. 3, 37-41 (1990). MSC: 17B01 16R10 17B66 13N99 17B99 PDFBibTeX XMLCite \textit{Yu. P. Razmyslov}, Mosc. Univ. Math. Bull. 45, No. 3, 39--41 (1990; Zbl 0714.17005); translation from Vestn. Mosk. Univ., Ser. I 1990, No. 3, 37--41 (1990)
Rosset, Shmuel A higher analogue of the lower central series and some applications of it. (English. Abridged French version) Zbl 0713.20025 C. R. Acad. Sci., Paris, Sér. I 310, No. 7, 513-518 (1990). Reviewer: B.Hartley MSC: 20F14 20F40 20E22 20F12 20J15 16S34 17A50 15A75 15A72 17B35 17B60 16W50 16S30 20C07 PDFBibTeX XMLCite \textit{S. Rosset}, C. R. Acad. Sci., Paris, Sér. I 310, No. 7, 513--518 (1990; Zbl 0713.20025)
Bazhanov, V. V.; Reshetikhin, N. Restricted solid-on-solid models connected with simply laced algebras and conformal field theory. (English) Zbl 0712.17024 J. Phys. A, Math. Gen. 23, No. 9, 1477-1492 (1990). Reviewer: H.Boseck MSC: 17B68 81T40 82B23 17B81 17B20 17B37 80A99 PDFBibTeX XMLCite \textit{V. V. Bazhanov} and \textit{N. Reshetikhin}, J. Phys. A, Math. Gen. 23, No. 9, 1477--1492 (1990; Zbl 0712.17024) Full Text: DOI
Khakimdzhanov, Yu. B. On varieties of Lie algebras. (Sur les variétés d’algèbres de Lie.) (French) Zbl 0712.17012 Commun. Algebra 18, No. 4, 1147-1187 (1990). Reviewer: A. S. Dzhumadil’daev MSC: 17B30 17B56 17B01 PDFBibTeX XMLCite \textit{Yu. B. Khakimdzhanov}, Commun. Algebra 18, No. 4, 1147--1187 (1990; Zbl 0712.17012) Full Text: DOI
Fernando, S. L. Lie algebra modules with finite dimensional weight spaces. I. (English) Zbl 0712.17005 Trans. Am. Math. Soc. 322, No. 2, 757-781 (1990). Reviewer: E.L.Stitzinger MSC: 17B10 17B20 PDFBibTeX XMLCite \textit{S. L. Fernando}, Trans. Am. Math. Soc. 322, No. 2, 757--781 (1990; Zbl 0712.17005) Full Text: DOI
Drensky, Vesselin; Gupta, C. K. Automorphisms of free nilpotent Lie algebras. (English) Zbl 0711.17010 Can. J. Math. 42, No. 2, 259-279 (1990). Reviewer: P.M.Cohn MSC: 17B40 17B30 17B01 PDFBibTeX XMLCite \textit{V. Drensky} and \textit{C. K. Gupta}, Can. J. Math. 42, No. 2, 259--279 (1990; Zbl 0711.17010) Full Text: DOI
Barcelo, Hélène On the action of the symmetric group on the free Lie algebra and the partition lattice. (English) Zbl 0709.17005 J. Comb. Theory, Ser. A 55, No. 1, 93-129 (1990). Reviewer: M.Boral MSC: 17B01 17B10 05E10 20C30 PDFBibTeX XMLCite \textit{H. Barcelo}, J. Comb. Theory, Ser. A 55, No. 1, 93--129 (1990; Zbl 0709.17005) Full Text: DOI
Barcelo, Hélène; Bergeron, Nantel The Orlik-Solomon algebra on the partition lattice and the free Lie algebra. (English) Zbl 0709.17004 J. Comb. Theory, Ser. A 55, No. 1, 80-92 (1990). Reviewer: M.Boral MSC: 17B01 17B10 05E10 20C30 PDFBibTeX XMLCite \textit{H. Barcelo} and \textit{N. Bergeron}, J. Comb. Theory, Ser. A 55, No. 1, 80--92 (1990; Zbl 0709.17004) Full Text: DOI
Garsia, Adriano M. Combinatorics of the free Lie algebra and the symmetric group. (English) Zbl 0709.17003 Analysis, et cetera, Res. Pap. in Honor of J. Moser’s 60th Birthd., 309-382 (1990). Reviewer: E.I.Khukhro MSC: 17B01 20C30 05E10 17B35 PDFBibTeX XML
Zolotykh, A. A. Trace identities of matrix superalgebras with involution. (Russian) Zbl 0707.16011 Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 4, 694-725 (1990). Reviewer: P.Koshlukov MSC: 16R50 17A70 17B01 16W10 16W50 17B60 17B45 PDFBibTeX XMLCite \textit{A. A. Zolotykh}, Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 4, 694--725 (1990; Zbl 0707.16011)
Kirillov, A. A.; Molev, A. I. Algebraic structure of a Lie algebra of vector fields. (English. Russian original) Zbl 0705.17014 Sel. Math. Sov. 9, No. 2, 155-169 (1990); translation from Prepr., Inst. Prikl. Mat. Im. M. V. Keldysha Akad. Nauk SSSR, Mosk. 168, 22 p. (1985). MSC: 17B66 17B01 PDFBibTeX XMLCite \textit{A. A. Kirillov} and \textit{A. I. Molev}, Sel. Math. Sov. 9, No. 2, 155--169 (1990; Zbl 0705.17014); translation from Prepr., Inst. Prikl. Mat. Im. M. V. Keldysha Akad. Nauk SSSR, Mosk. 168, 22 p. (1985)
Griffing, Gary The dual Friedrichs’ theorem. (English) Zbl 0702.17015 J. Algebra 132, No. 2, 446-460 (1990). Reviewer: E.J.Taft MSC: 17B99 16W30 16S10 17B01 16W10 PDFBibTeX XMLCite \textit{G. Griffing}, J. Algebra 132, No. 2, 446--460 (1990; Zbl 0702.17015) Full Text: DOI
Ma, Wenxin; Racine, Michel L. Minimal identities of symmetric matrices. (English) Zbl 0701.16025 Trans. Am. Math. Soc. 320, No. 1, 171-192 (1990). Reviewer: P.Koshlukov MSC: 16R10 16R20 16S50 05C50 17C05 16W10 PDFBibTeX XMLCite \textit{W. Ma} and \textit{M. L. Racine}, Trans. Am. Math. Soc. 320, No. 1, 171--192 (1990; Zbl 0701.16025) Full Text: DOI
Márquez Hernández, Concepción Mercedes Hermitian Morita context defined by an equivalence. (Spanish) Zbl 0701.16006 Algebra and geometry, Proc. 2nd Span. Belg. Week, II SBWAG, Santiago de Compostela/Spain 1989, Alxebra 54, 127-144 (1990). Reviewer: M.Golasiński MSC: 16D90 16D40 16W10 11E39 PDFBibTeX XML
Boral, Melih On subalgebras of free solvable and polynilpotent Lie algebras. (English) Zbl 0699.17012 Commun. Algebra 18, No. 4, 1199-1214 (1990). Reviewer: H.Heineken MSC: 17B30 PDFBibTeX XMLCite \textit{M. Boral}, Commun. Algebra 18, No. 4, 1199--1214 (1990; Zbl 0699.17012) Full Text: DOI
Jambu, Michel Fiber-type arrangements and factorization properties. (English) Zbl 0697.55014 Adv. Math. 80, No. 1, 1-21 (1990). Reviewer: V.Cruceanu MSC: 55P62 55Q52 57M05 57R19 PDFBibTeX XMLCite \textit{M. Jambu}, Adv. Math. 80, No. 1, 1--21 (1990; Zbl 0697.55014) Full Text: DOI
Borel, Armand Correction and complement to the paper: Regularization theorems in Lie algebra cohomology. Applications. (English) Zbl 0689.22007 Duke Math. J. 60, No. 1, 299-301 (1990). MSC: 22E41 17B56 22E46 PDFBibTeX XMLCite \textit{A. Borel}, Duke Math. J. 60, No. 1, 299--301 (1990; Zbl 0689.22007) Full Text: DOI
Ringel, Claus Michael Hall algebras and quantum groups. (English) Zbl 0735.16009 Invent. Math. 101, No. 3, 583-591 (1990). Reviewer: Andrzej Skowroński (Toruń) MSC: 16G30 17B20 17B35 16S10 17B37 16T05 16T20 16S36 PDFBibTeX XMLCite \textit{C. M. Ringel}, Invent. Math. 101, No. 3, 583--591 (1990; Zbl 0735.16009) Full Text: DOI EuDML
Zerck, Rainer On the fixed points of the Lie algebras associated with a free group presentation. (English) Zbl 0782.20035 Note Mat. 10, No. 2, 235-246 (1990). Reviewer: R.M.Bryant (Manchester) MSC: 20F40 17B01 20F14 20E05 20F29 17B60 17B70 PDFBibTeX XMLCite \textit{R. Zerck}, Note Mat. 10, No. 2, 235--246 (1990; Zbl 0782.20035)
Ringel, Claus Michael Hall algebras. (English) Zbl 0778.16004 Topics in algebra. Pt. 1: Rings and representations of algebras, Pap. 31st Semester Class. Algebraic Struct., Warsaw/Poland 1988, Banach Cent. Publ. 26, Part 1, 433-447 (1990). Reviewer: Changchang Xi (Beijing) MSC: 16G10 17B37 16G60 20D15 16P10 PDFBibTeX XMLCite \textit{C. M. Ringel}, Banach Cent. Publ. None, 433--447 (1990; Zbl 0778.16004)
Parshall, Brian J. Hyperalgebras, highest weight categories and finite dimensional algebras. (English) Zbl 0738.20046 Lie algebras and related topics, Proc. Res. Conf., Madison/WI (USA) 1988, Contemp. Math. 110, 203-215 (1990). Reviewer: H.H.Andersen (Aarhus) MSC: 20G05 17B35 16E60 20G15 18E30 17B10 16D90 14L17 PDFBibTeX XMLCite \textit{B. J. Parshall}, Contemp. Math. None, 203--215 (1990; Zbl 0738.20046)
Laue, Hartmut; Blessenohl, Dieter Symmetric groups and free Lie algebras. (English) Zbl 0742.17010 Group theory, Proc. 2nd Int. Conf., Bressanone/Italy 1989, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 23, 201-208 (1990). MSC: 17B01 PDFBibTeX XMLCite \textit{H. Laue} and \textit{D. Blessenohl}, in: Nilpotent subgroups of maximal order in finite soluble groups. . 201--208 (1990; Zbl 0742.17010)
Mishchenko, S. P. On varieties of solvable Lie algebras. (English. Russian original) Zbl 0739.17002 Sov. Math., Dokl. 42, No. 1, 202-205 (1991); translation from Dokl. Akad. Nauk SSSR 313, No. 6, 1345-1348 (1990). Reviewer: Yu.A.Bakhturin (Moskva) MSC: 17B30 17B01 PDFBibTeX XMLCite \textit{S. P. Mishchenko}, Sov. Math., Dokl. 42, No. 1, 202--205 (1990; Zbl 0739.17002); translation from Dokl. Akad. Nauk SSSR 313, No. 6, 1345--1348 (1990)