Lam, Ngau; Zhang, R. B. \(\mathfrak u\)-cohomology formula for unitarizable modules over general linear superalgebras. (English) Zbl 1261.17020 J. Algebra 327, No. 1, 50-70 (2011). MSC: 17B56 17B10 PDF BibTeX XML Cite \textit{N. Lam} and \textit{R. B. Zhang}, J. Algebra 327, No. 1, 50--70 (2011; Zbl 1261.17020) Full Text: DOI
Enright, Thomas J.; Willenbring, Jeb F. Hilbert series, Howe duality and branching for classical groups. (English) Zbl 1087.22011 Ann. Math. (2) 159, No. 1, 337-375 (2004). Reviewer: Takayuki Nôno (Hiroshima) MSC: 22E45 22E47 17B10 PDF BibTeX XML Cite \textit{T. J. Enright} and \textit{J. F. Willenbring}, Ann. Math. (2) 159, No. 1, 337--375 (2004; Zbl 1087.22011) Full Text: DOI
Mazorchuk, V. S. On unitarizable modules over generalized Virasoro algebras. (English. Ukrainian original) Zbl 0934.17015 Ukr. Math. J. 50, No. 9, 1461-1463 (1998); translation from Ukr. Mat. Zh. 50, No. 9, 1278-1280 (1998). Reviewer: Yu.V.Bodnarchuk (Kyïv) MSC: 17B68 17B10 PDF BibTeX XML Cite \textit{V. S. Mazorchuk}, Ukr. Mat. Zh. 50, No. 9, 1278--1280 (1998; Zbl 0934.17015); translation from Ukr. Mat. Zh. 50, No. 9, 1278--1280 (1998) Full Text: DOI
Hilgert, Joachim Singular unitary highest weight representations via geometric quantization. (English) Zbl 0901.22009 Rep. Math. Phys. 40, No. 2, 209-215 (1997). Reviewer: A.K.Guts (Omsk) MSC: 22E47 PDF BibTeX XML Cite \textit{J. Hilgert}, Rep. Math. Phys. 40, No. 2, 209--215 (1997; Zbl 0901.22009) Full Text: DOI
Jakobsen, Hans Plesner An intrinsic classification of the unitarizable highest weight modules as well as their associated varieties. (English) Zbl 0861.22010 Compos. Math. 101, No. 3, 313-352 (1996). Reviewer: J.Hilgert (Clausthal) MSC: 22E47 PDF BibTeX XML Cite \textit{H. P. Jakobsen}, Compos. Math. 101, No. 3, 313--352 (1996; Zbl 0861.22010) Full Text: Numdam EuDML
Jakobsen, Hans Plesner The full set of unitarizable highest weight modules of basic classical Lie superalgebras. (English) Zbl 0811.17002 Mem. Am. Math. Soc. 532, 116 p. (1994). Reviewer: J.Van der Jeugt (Gent) MSC: 17A70 46C05 22E47 17B10 17B37 81R05 PDF BibTeX XML Cite \textit{H. P. Jakobsen}, The full set of unitarizable highest weight modules of basic classical Lie superalgebras. Providence, RI: American Mathematical Society (AMS) (1994; Zbl 0811.17002) Full Text: DOI
Jakobsen, Hans Plesner A classification of the unitarizable highest weight modules for affine Lie superalgebras. (English) Zbl 0811.17003 J. Funct. Anal. 123, No. 2, 422-457 (1994). Reviewer: J.Van der Jeugt (Gent) MSC: 17A70 17B10 17B67 17B70 PDF BibTeX XML Cite \textit{H. P. Jakobsen}, J. Funct. Anal. 123, No. 2, 422--457 (1994; Zbl 0811.17003) Full Text: DOI
Neeb, Karl-Hermann Contraction semigroups and representations. (English) Zbl 0805.22005 Forum Math. 6, No. 2, 233-270 (1994). Reviewer: G.Olafsson (Roskilde) MSC: 22E46 22E15 22A15 53C30 22A20 20M20 22E05 22E60 PDF BibTeX XML Cite \textit{K.-H. Neeb}, Forum Math. 6, No. 2, 233--270 (1994; Zbl 0805.22005) Full Text: DOI EuDML
Lorente, Miguel Extremal vectors for Verma modules of non compact real forms and unitarization of representations. (English) Zbl 0715.17011 Indecomposable representations of Lie groups and their physical applications, Proc. Conf., Rome/Italy 1988, Symp. Math. 31, 71-83 (1989). Reviewer: Yu.N.Mukhin MSC: 17B10 22E46 PDF BibTeX XML
Eswara Rao, S. A new class of unitary representations for affine Lie algebras. (English) Zbl 0662.17009 J. Algebra 120, No. 1, 54-73 (1989). Reviewer: Eichi Abe (Ibaraki) MSC: 17B67 17B10 PDF BibTeX XML Cite \textit{S. Eswara Rao}, J. Algebra 120, No. 1, 54--73 (1989; Zbl 0662.17009) Full Text: DOI
Dobrev, V. K.; Ganchev, A. Ch. On the classification of modular invariants for the \(N=2\) twisted superconformal algebra. (English) Zbl 0760.17024 Infinite dimensional Lie algebras and quantum field theory, Proc. Summer Sch., Varna/Bulg. 1987, 1-10 (1988). MSC: 17B68 81T40 81R10 17B70 11F22 PDF BibTeX XML Cite \textit{V. K. Dobrev} and \textit{A. Ch. Ganchev}, in: Infinite dimensional Lie algebras and quantum field theory. Proceedings of the Varna summer school 1987, Varna, Bulgaria, 10-14 June 1987. Singapore etc.: World Scientific. 1--10 (1988; Zbl 0760.17024)
Torresani, Bruno Unitary positive energy representations of the gauge group. (English) Zbl 0618.22013 Lett. Math. Phys. 13, 7-15 (1987). Reviewer: A.Klimyk MSC: 22E65 22E70 17B65 PDF BibTeX XML Cite \textit{B. Torresani}, Lett. Math. Phys. 13, 7--15 (1987; Zbl 0618.22013) Full Text: DOI
Jakobsen, H. P.; Kac, V. G. A new class of unitarizable highest weight representations of infinite dimensional Lie algebras. (English) Zbl 0581.17009 Non-linear equations in classical and quantum field theory, Proc. Semin., Paris 1983-1984, Lect. Notes Phys. 226, 1-20 (1985). Reviewer: A.G.Gejn MSC: 17B65 17B10 17B15 PDF BibTeX XML
Jakobsen, Hans Plesner Hermitian symmetric spaces and their unitary highest weight modules. (English) Zbl 0517.22014 J. Funct. Anal. 52, 385-412 (1983). MSC: 22E46 32M15 22E47 17B20 17B35 PDF BibTeX XML Cite \textit{H. P. Jakobsen}, J. Funct. Anal. 52, 385--412 (1983; Zbl 0517.22014) Full Text: DOI
Enright, T. J.; Parthasarathy, R. A proof of a conjecture of Kashiwara and Vergne. (English) Zbl 0492.22012 Non commutative harmonic analysis and Lie groups, Colloq., Marseille- Luminy 1980, Lect. Notes Math 880, 74-90 (1981). MSC: 22E45 PDF BibTeX XML
Parthasarathy, R. Criteria for the unitarizability of some highest weight modules. (English) Zbl 0434.22011 Proc. Indian. Acad. Sci., Math. Sci. 89, 1-24 (1980). MSC: 22E46 22D10 PDF BibTeX XML Cite \textit{R. Parthasarathy}, Proc. Indian Acad. Sci., Math. Sci. 89, 1--24 (1980; Zbl 0434.22011) Full Text: DOI