Manashov, A. N. Mellin-Barnes integrals related to the Lie algebra \(u(N)\). (English) Zbl 07794015 J. Math. Sci., New York 275, No. 3, 342-347 (2023); and Zap. Nauchn. Semin. POMI 509, 176-184 (2021). MSC: 17B15 22E30 33B15 PDFBibTeX XMLCite \textit{A. N. Manashov}, J. Math. Sci., New York 275, No. 3, 342--347 (2023; Zbl 07794015) Full Text: DOI arXiv
Ben Hassine, Abdelkader; Mabrouk, Sami; Ncib, Othmen 3-BiHom-Lie superalgebras induced by BiHom-Lie superalgebras. (English) Zbl 1485.17028 Linear Multilinear Algebra 70, No. 1, 101-121 (2022). MSC: 17B61 17B38 17A40 PDFBibTeX XMLCite \textit{A. Ben Hassine} et al., Linear Multilinear Algebra 70, No. 1, 101--121 (2022; Zbl 1485.17028) Full Text: DOI arXiv
Kamiya, Noriaki Triality groups associated with triple systems and their homotope algebras. (English) Zbl 1511.17012 Ann. Math. Sil. 35, No. 2, 184-210 (2021). MSC: 17A40 17A30 17B40 17C30 20F29 PDFBibTeX XMLCite \textit{N. Kamiya}, Ann. Math. Sil. 35, No. 2, 184--210 (2021; Zbl 1511.17012) Full Text: DOI
Pei, Yufeng; Yang, Jinwei Strongly graded vertex algebras generated by vertex Lie algebras. (English) Zbl 1473.17075 Commun. Contemp. Math. 21, No. 8, Article ID 1850069, 34 p. (2019). MSC: 17B69 PDFBibTeX XMLCite \textit{Y. Pei} and \textit{J. Yang}, Commun. Contemp. Math. 21, No. 8, Article ID 1850069, 34 p. (2019; Zbl 1473.17075) Full Text: DOI
Fan, Guangzhe; Hong, Yanyong; Su, Yucai Generalized conformal derivations of Lie conformal algebras. (English) Zbl 1435.17026 J. Algebra Appl. 18, No. 9, Article ID 1950175, 16 p. (2019). MSC: 17B68 17B05 17B40 17B65 PDFBibTeX XMLCite \textit{G. Fan} et al., J. Algebra Appl. 18, No. 9, Article ID 1950175, 16 p. (2019; Zbl 1435.17026) Full Text: DOI arXiv
Park, Choonkil; Rassias, J. M.; Bodaghi, Abasalt; Kim, Sang Og Approximate homomorphisms from ternary semigroups to modular spaces. (English) Zbl 1435.17005 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2175-2188 (2019). Reviewer: Maryam Amyari (Mashhad) MSC: 17A40 39B52 39B82 PDFBibTeX XMLCite \textit{C. Park} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2175--2188 (2019; Zbl 1435.17005) Full Text: DOI
Cheng, Junfang; Chu, Yanjun An embedding of the twisted Heisenberg-Virasoro vertex algebra into the \(\beta \gamma \)-system. (Chinese. English summary) Zbl 1389.17027 J. Henan Univ., Nat. Sci. 47, No. 3, 367-371 (2017). MSC: 17B68 17B69 PDFBibTeX XMLCite \textit{J. Cheng} and \textit{Y. Chu}, J. Henan Univ., Nat. Sci. 47, No. 3, 367--371 (2017; Zbl 1389.17027)
Cromer, Michael Fock space realisations of staggered modules in 2D logarithmic CFTs. (English) Zbl 1373.81320 J. Phys. A, Math. Theor. 50, No. 34, Article ID 345402, 24 p. (2017). MSC: 81T40 81R10 17B68 PDFBibTeX XMLCite \textit{M. Cromer}, J. Phys. A, Math. Theor. 50, No. 34, Article ID 345402, 24 p. (2017; Zbl 1373.81320) Full Text: DOI arXiv
Ceballos, M.; Núñez, J.; Tenorio, Á. F. Algorithm to compute abelian subalgebras and ideals in Malcev algebras. (English) Zbl 1418.17072 Math. Methods Appl. Sci. 39, No. 16, 4892-4900 (2016). MSC: 17D10 17-04 68W30 68W40 PDFBibTeX XMLCite \textit{M. Ceballos} et al., Math. Methods Appl. Sci. 39, No. 16, 4892--4900 (2016; Zbl 1418.17072) Full Text: DOI
Akram, Muhammad; Davvaz, Bijan; Feng, Feng Fuzzy soft Lie algebras. (English) Zbl 1394.17067 J. Mult.-Val. Log. Soft Comput. 24, No. 5-6, 501-520 (2015). MSC: 17B99 PDFBibTeX XMLCite \textit{M. Akram} et al., J. Mult.-Val. Log. Soft Comput. 24, No. 5--6, 501--520 (2015; Zbl 1394.17067) Full Text: Link
Bonora, L.; Bytsenko, A. A.; Chaichian, M. Elliptic genera and characteristic \(q\)-series of superconformal field theory. (English) Zbl 1329.81327 Nucl. Phys., B 895, 192-205 (2015). MSC: 81T40 81T60 33B15 11F55 17A70 58J26 PDFBibTeX XMLCite \textit{L. Bonora} et al., Nucl. Phys., B 895, 192--205 (2015; Zbl 1329.81327) Full Text: DOI arXiv
Ceballos, Manuel; Núñez, Juan; Tenorio, Ángel F. Algorithmic procedure to compute abelian subalgebras and ideals of maximal dimension of Leibniz algebras. (English) Zbl 1358.17001 Int. J. Comput. Math. 92, No. 9, 1838-1854 (2015). MSC: 17-08 17A32 68W30 68Q25 PDFBibTeX XMLCite \textit{M. Ceballos} et al., Int. J. Comput. Math. 92, No. 9, 1838--1854 (2015; Zbl 1358.17001) Full Text: DOI
Hosseini, Amin A characterization of weak \(n_m\)-Jordan \((\alpha,\beta)\)-derivations by generalized centralizers. (English) Zbl 1319.13018 Rend. Circ. Mat. Palermo (2) 64, No. 2, 221-227 (2015). MSC: 13N15 17B40 16N60 PDFBibTeX XMLCite \textit{A. Hosseini}, Rend. Circ. Mat. Palermo (2) 64, No. 2, 221--227 (2015; Zbl 1319.13018) Full Text: DOI
Hassani, M.; Keyhani, E. On the superstability of a special derivation. (English) Zbl 1412.16041 J. Linear Topol. Algebra 3, No. 1, 15-22 (2014). MSC: 16W25 17A36 17B40 47B47 PDFBibTeX XMLCite \textit{M. Hassani} and \textit{E. Keyhani}, J. Linear Topol. Algebra 3, No. 1, 15--22 (2014; Zbl 1412.16041) Full Text: Link
Kashaev, Rinat Euler’s beta function and pentagon relations. (English) Zbl 1311.81142 Acta Math. Vietnam. 39, No. 4, 561-566 (2014). MSC: 81R05 33B15 32B25 57N37 22E70 17B81 PDFBibTeX XMLCite \textit{R. Kashaev}, Acta Math. Vietnam. 39, No. 4, 561--566 (2014; Zbl 1311.81142) Full Text: DOI
Zheng, Keli; Zhang, Yongzheng On \((\alpha, \beta, \gamma)\)-derivations of Lie superalgebras. (English) Zbl 1370.17023 Int. J. Geom. Methods Mod. Phys. 10, No. 10, Article ID 1350050, 18 p. (2013). MSC: 17B40 17B05 PDFBibTeX XMLCite \textit{K. Zheng} and \textit{Y. Zhang}, Int. J. Geom. Methods Mod. Phys. 10, No. 10, Article ID 1350050, 18 p. (2013; Zbl 1370.17023) Full Text: DOI
Hoang Ngoc Minh, V. On a conjecture by Pierre Cartier about a group of associators. (English) Zbl 1283.11122 Acta Math. Vietnam. 38, No. 3, 339-398 (2013). MSC: 11M32 05E15 12H05 17B01 33B15 37F25 PDFBibTeX XMLCite \textit{V. Hoang Ngoc Minh}, Acta Math. Vietnam. 38, No. 3, 339--398 (2013; Zbl 1283.11122) Full Text: DOI
Creutzig, Thomas; Linshaw, Andrew R. A commutant realization of Odake’s algebra. (English) Zbl 1292.17019 Transform. Groups 18, No. 3, 615-637 (2013). Reviewer: Dražen Adamović (Zagreb) MSC: 17B69 17B68 PDFBibTeX XMLCite \textit{T. Creutzig} and \textit{A. R. Linshaw}, Transform. Groups 18, No. 3, 615--637 (2013; Zbl 1292.17019) Full Text: DOI arXiv
Ceballos, Manuel; Núñez, Juan; Tenorio, Ángel F. Algorithmic method to obtain abelian subalgebras and ideals in Lie algebras. (English) Zbl 1255.17002 Int. J. Comput. Math. 89, No. 10, 1388-1411 (2012). MSC: 17-04 17B30 17B05 68W30 PDFBibTeX XMLCite \textit{M. Ceballos} et al., Int. J. Comput. Math. 89, No. 10, 1388--1411 (2012; Zbl 1255.17002) Full Text: DOI
Yu, Haijun; Chen, Liangyun; Ma, Yao Homomorphisms and fuzzy homomorphisms of fuzzy Lie algebras. (English) Zbl 1282.17027 Algebras Groups Geom. 28, No. 4, 345-362 (2011). MSC: 17B99 PDFBibTeX XMLCite \textit{H. Yu} et al., Algebras Groups Geom. 28, No. 4, 345--362 (2011; Zbl 1282.17027)
Nakanishi, Tomoki; Tateo, Roberto Dilogarithm identities for sine-Gordon and reduced sine-Gordon Y-systems. (English) Zbl 1219.81161 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 085, 34 p. (2010). MSC: 81R50 33B15 13F60 17B37 81R12 35Q55 PDFBibTeX XMLCite \textit{T. Nakanishi} and \textit{R. Tateo}, SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 085, 34 p. (2010; Zbl 1219.81161) Full Text: DOI arXiv EuDML
Eshaghi Gordji, M.; Ghobadipour, N. Stability of \((\alpha,\beta,\gamma)\)-derivatives on Lie \(C^*\)-algebras. (English) Zbl 1217.39034 Int. J. Geom. Methods Mod. Phys. 7, No. 7, 1093-1102 (2010). Reviewer: Camillo Trapani (Palermo) MSC: 39B82 39B52 46K70 46L57 17B40 17B60 PDFBibTeX XMLCite \textit{M. Eshaghi Gordji} and \textit{N. Ghobadipour}, Int. J. Geom. Methods Mod. Phys. 7, No. 7, 1093--1102 (2010; Zbl 1217.39034) Full Text: DOI arXiv
El Kinani, E. H.; Ouhadan, A.; El Bermi, L. On the \(W^l_{\alpha,\beta}(p,q)\)-deformed Witt algebra. (English) Zbl 1286.17024 Int. J. Algebra 2, No. 13-16, 751-756 (2008). MSC: 17B68 81R12 PDFBibTeX XMLCite \textit{E. H. El Kinani} et al., Int. J. Algebra 2, No. 13--16, 751--756 (2008; Zbl 1286.17024) Full Text: Link
Liu, Xiao Hui Application of the \(B\)-function in coherent state representation of the Lie superalgebra. (Chinese. English summary) Zbl 1493.81005 Math. Pract. Theory 34, No. 11, 145-147 (2004). MSC: 81R10 17B10 33B15 PDFBibTeX XMLCite \textit{X. H. Liu}, Math. Pract. Theory 34, No. 11, 145--147 (2004; Zbl 1493.81005)
Ecalle, Jean ARI/GARI, dimorphy and multiple zeta arithmetic: a first evaluation. (ARI/GARI, la dimorphie et l’arithmétique des multizêtas: un premier bilan.) (French) Zbl 1094.11032 J. Théor. Nombres Bordx. 15, No. 2, 411-478 (2003). Reviewer: Makoto Ohtsuki (Kodaira) MSC: 11M41 17B99 33B15 PDFBibTeX XMLCite \textit{J. Ecalle}, J. Théor. Nombres Bordx. 15, No. 2, 411--478 (2003; Zbl 1094.11032) Full Text: DOI Numdam EuDML
Ludwig, Andreas W. W.; Wiese, Kay Jörg The 4-loop \(\beta\)-function in the 2D non-Abelian Thirring model, and comparison with its conjectured “exact” form. (English) Zbl 1040.81082 Nucl. Phys., B 661, No. 3, 577-607 (2003). MSC: 81T40 81R10 81T17 17B67 33B15 81T10 PDFBibTeX XMLCite \textit{A. W. W. Ludwig} and \textit{K. J. Wiese}, Nucl. Phys., B 661, No. 3, 577--607 (2003; Zbl 1040.81082) Full Text: DOI arXiv
Connes, Alain; Kreimer, Dirk From local perturbation theory to Hopf and Lie algebras of Feynman graphs. (English) Zbl 0995.81077 Lett. Math. Phys. 56, No. 1, 3-15 (2001). Reviewer: B.Fauser (Tübingen) MSC: 81T18 81Q30 17B37 81T15 81T17 81-02 PDFBibTeX XMLCite \textit{A. Connes} and \textit{D. Kreimer}, Lett. Math. Phys. 56, No. 1, 3--15 (2001; Zbl 0995.81077) Full Text: DOI
Bahturin, Yuri; Fischman, Davida; Montgomery, Susan Bicharacters, twistings, and Scheunert’s theorem for Hopf algebras. (English) Zbl 0966.17017 J. Algebra 236, No. 1, 246-276 (2001). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 17B75 16W30 PDFBibTeX XMLCite \textit{Y. Bahturin} et al., J. Algebra 236, No. 1, 246--276 (2001; Zbl 0966.17017) Full Text: DOI
Ding, Hongming Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces. (English) Zbl 0933.22022 Trans. Am. Math. Soc. 351, No. 10, 4205-4243 (1999). Reviewer: H.Fujiwara (Iizuka) MSC: 22E46 43A85 17C30 33C10 22E30 17C50 33B15 PDFBibTeX XMLCite \textit{H. Ding}, Trans. Am. Math. Soc. 351, No. 10, 4205--4243 (1999; Zbl 0933.22022) Full Text: DOI
Ito, Masahiko A theta product formula for Jackson integrals associated with root systems. (English) Zbl 0882.33011 Proc. Japan Acad., Ser. A 73, No. 4, 60-61 (1997). Reviewer: M.Kuznetsov (Nizhnij Novgorod) MSC: 33D05 17B20 33D70 33D10 33D60 33D80 PDFBibTeX XMLCite \textit{M. Ito}, Proc. Japan Acad., Ser. A 73, No. 4, 60--61 (1997; Zbl 0882.33011) Full Text: DOI
Swank, L. J. \((\alpha,\beta)\)-derivations on quantum function algebras. (English) Zbl 0873.17017 J. Math. Phys. 37, No. 5, 2527-2552 (1996). Reviewer: A.Van Daele (Heverlee) MSC: 17B37 46L89 81R50 PDFBibTeX XMLCite \textit{L. J. Swank}, J. Math. Phys. 37, No. 5, 2527--2552 (1996; Zbl 0873.17017) Full Text: DOI
Casalis, M.; Letac, G. The Lukacs-Olkin-Rubin characterization of Wishart distributions on symmetric cones. (English) Zbl 0906.62053 Ann. Stat. 24, No. 2, 763-786 (1996). MSC: 62H05 60E10 17C99 PDFBibTeX XMLCite \textit{M. Casalis} and \textit{G. Letac}, Ann. Stat. 24, No. 2, 763--786 (1996; Zbl 0906.62053) Full Text: DOI
Floreanini, Roberto; Vinet, Luc \(q\)-gamma and \(q\)-beta functions in quantum algebra representation theory. (English) Zbl 0872.33010 J. Comput. Appl. Math. 68, No. 1-2, 57-68 (1996). Reviewer: Ch.Krattenthaler (Wien) MSC: 33D05 33D80 16W30 17B37 PDFBibTeX XMLCite \textit{R. Floreanini} and \textit{L. Vinet}, J. Comput. Appl. Math. 68, No. 1--2, 57--68 (1996; Zbl 0872.33010) Full Text: DOI
Kirillov, Anatol N. Dilogarithm identities. (English) Zbl 0894.11052 Inami, Takeo (ed.) et al., Quantum field theory, integrable models and beyond. Proceedings of a workshop, Kyoto, Japan, February 14-17, 1994. Kyoto: Kyoto University, Yukawa Inst. for Theoretical Physics, Prog. Theor. Phys., Suppl. 118, 61-142 (1995). Reviewer: O.Ninnemann (Berlin) MSC: 11Z05 11-02 33-02 11G55 33B15 17B67 81T40 17B68 11P81 05E15 17B37 19M05 PDFBibTeX XMLCite \textit{A. N. Kirillov}, Prog. Theor. Phys., Suppl. 118, 61--142 (1995; Zbl 0894.11052) Full Text: arXiv
Gustafson, Robert A. Some \(q\)-beta integrals on \(SU(n)\) and \(Sp(n)\) that generalize the Askey-Wilson and Nasrallah-Rahman integrals. (English) Zbl 0819.33009 SIAM J. Math. Anal. 25, No. 2, 441-449 (1994). Reviewer: G.Zet (Iaşi) MSC: 33D05 33C45 17B20 33C20 33D80 33C80 PDFBibTeX XMLCite \textit{R. A. Gustafson}, SIAM J. Math. Anal. 25, No. 2, 441--449 (1994; Zbl 0819.33009) Full Text: DOI
Kadell, Kevin W. J. A proof of the \(q\)-Macdonald-Morris conjecture for \(BC_ n\). (English) Zbl 0796.17003 Mem. Am. Math. Soc. 516, 80 p. (1994). Reviewer: A.Klimyk (Kiev) MSC: 17B20 33C80 PDFBibTeX XMLCite \textit{K. W. J. Kadell}, A proof of the \(q\)-Macdonald-Morris conjecture for \(BC_ n\). Providence, RI: American Mathematical Society (AMS) (1994; Zbl 0796.17003) Full Text: DOI
Gustafson, Robert A. Some \(q\)-beta and Mellin-Barnes integrals on compact Lie groups and Lie algebras. (English) Zbl 0796.33012 Trans. Am. Math. Soc. 341, No. 1, 69-119 (1994). Reviewer: D.M.Bressoud (St.Paul) MSC: 33D05 33C45 33C80 33C20 17B20 PDFBibTeX XMLCite \textit{R. A. Gustafson}, Trans. Am. Math. Soc. 341, No. 1, 69--119 (1994; Zbl 0796.33012) Full Text: DOI
Berkovich, Alexander Fermionic counting of RSOS states and Virasoro character formulas for the unitary minimal series \(M(\nu,\nu+1)\): Exact results. (English) Zbl 1020.81620 Nucl. Phys., B 431, No. 1-2, 315-348 (1994). MSC: 81R10 17B68 33D05 82B23 PDFBibTeX XMLCite \textit{A. Berkovich}, Nucl. Phys., B 431, No. 1--2, 315--348 (1994; Zbl 1020.81620) Full Text: DOI arXiv
Garvan, Frank G.; Gonnet, Gaston Macdonald’s constant term conjectures for exceptional root systems. (English) Zbl 0737.33011 Bull. Am. Math. Soc., New Ser. 24, No. 2, 343-347 (1991). Reviewer: D.M.Bressoud (University Park) MSC: 33D05 17B20 11P83 05A17 PDFBibTeX XMLCite \textit{F. G. Garvan} and \textit{G. Gonnet}, Bull. Am. Math. Soc., New Ser. 24, No. 2, 343--347 (1991; Zbl 0737.33011) Full Text: DOI
Ihara, Yasutaka Braids, Galois groups, and some arithmetic functions. (English) Zbl 0757.20007 Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. I, 99-120 (1991). Reviewer: H.Nakamura (Tokyo) MSC: 20F36 11R32 17B37 PDFBibTeX XMLCite \textit{Y. Ihara}, in: Proceedings of the international congress of mathematicians (ICM), August 21--29, 1990, Kyoto, Japan. Volume I. Tokyo etc.: Springer-Verlag. 99--120 (1991; Zbl 0757.20007)
Filippov, V. T. Enveloping algebras of anticommutative triple systems and 3-Lie algebras. (English. Russian original) Zbl 0726.17002 Algebra Logic 29, No. 2, 169-180 (1990); translation from Algebra Logika 29, No. 2, 241-257 (1990). Reviewer: G. I. Zhitomirskiĭ (Saratov) MSC: 17A40 17B60 PDFBibTeX XMLCite \textit{V. T. Filippov}, Algebra Logic 29, No. 2, 169--180 (1990; Zbl 0726.17002); translation from Algebra Logika 29, No. 2, 241--257 (1990) Full Text: DOI
Filippov, V. T. Enveloping algebras of triple systems and algebras. (English. Russian original) Zbl 0726.17001 Algebra Logic 29, No. 1, 48-59 (1990); translation from Algebra Logika 29, No. 1, 67-81 (1990). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 17A40 17B60 17D10 PDFBibTeX XMLCite \textit{V. T. Filippov}, Algebra Logic 29, No. 1, 48--59 (1990; Zbl 0726.17001); translation from Algebra Logika 29, No. 1, 67--81 (1990) Full Text: DOI EuDML
Garvan, F. G. A proof of the Macdonald-Morris root system conjecture for \(F_ 4\). (English) Zbl 0711.33001 SIAM J. Math. Anal. 21, No. 3, 803-821 (1990). Reviewer: R.A.Gustafson MSC: 33B15 17B20 33C80 PDFBibTeX XMLCite \textit{F. G. Garvan}, SIAM J. Math. Anal. 21, No. 3, 803--821 (1990; Zbl 0711.33001) Full Text: DOI
Askey, Richard Computer algebra and definite integrals. (English) Zbl 0672.33001 Computer algebra, Proc. Int. Conf., New York, NY/USA 1984, Lect. Notes Pure Appl. Math. 113, 121-128 (1989). Reviewer: R.Askey MSC: 33B15 17B20 68W30 PDFBibTeX XML
Zeilberger, Doron A unified approach to Macdonald’s root-system conjectures. (English) Zbl 0658.05005 SIAM J. Math. Anal. 19, No. 4, 987-1011 (1988). Reviewer: D.M.Bressoud MSC: 05A15 33B15 17B65 05A17 33C80 17B20 PDFBibTeX XMLCite \textit{D. Zeilberger}, SIAM J. Math. Anal. 19, No. 4, 987--1011 (1988; Zbl 0658.05005) Full Text: DOI Link
Habsieger, Laurent La q-conjecture de Macdonald-Morris pour \(G_ 2\). (The q-conjecture of Macdonald-Morris for \(G_ 2)\). (French) Zbl 0598.05006 C. R. Acad. Sci., Paris, Sér. I 303, 211-213 (1986). Reviewer: D.M.Bressoud MSC: 05A15 17B20 33B15 PDFBibTeX XMLCite \textit{L. Habsieger}, C. R. Acad. Sci., Paris, Sér. I 303, 211--213 (1986; Zbl 0598.05006)
Beidar, K. I. Examples of rings and radicals. (English) Zbl 0589.16007 Radical theory, Proc. 1st Conf., Eger/Hung. 1982, Colloq. Math. Soc. János Bolyai 38, 19-46 (1985). Reviewer: D.M.Olson MSC: 16Nxx 17D05 16Dxx 16D30 PDFBibTeX XML