Ma, Yao; Nguyen, Khoa; Tantubay, Santanu; Zhao, Kaiming Characterization of simple smooth modules. (English) Zbl 1526.17042 J. Algebra 636, 1-19 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B68 17B67 PDFBibTeX XMLCite \textit{Y. Ma} et al., J. Algebra 636, 1--19 (2023; Zbl 1526.17042) Full Text: DOI
Jakobsen, Hans Plesner Determinantal ideals and the canonical commutation relations: classically or quantized. (English) Zbl 1527.17004 Commun. Math. Phys. 398, No. 1, 375-438 (2023). MSC: 17B20 17B65 20C35 81R50 PDFBibTeX XMLCite \textit{H. P. Jakobsen}, Commun. Math. Phys. 398, No. 1, 375--438 (2023; Zbl 1527.17004) Full Text: DOI arXiv
Chirivì, Rocco; Fang, Xin; Littelmann, Peter Seshadri stratification for Schubert varieties and standard monomial theory. (English) Zbl 1506.14105 Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 74, 58 p. (2022). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 14M25 52B20 PDFBibTeX XMLCite \textit{R. Chirivì} et al., Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 74, 58 p. (2022; Zbl 1506.14105) Full Text: DOI arXiv
Mazorchuk, Volodymyr; Mrðen, Rafael Lie algebra modules which are locally finite and with finite multiplicities over the semisimple part. (English) Zbl 1505.17007 Nagoya Math. J. 246, 430-470 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B30 05E10 PDFBibTeX XMLCite \textit{V. Mazorchuk} and \textit{R. Mrðen}, Nagoya Math. J. 246, 430--470 (2022; Zbl 1505.17007) Full Text: DOI arXiv
Goulart, Victor; Saldanha, Nicolau C. Locally convex curves and the Bruhat stratification of the spin group. (English) Zbl 1479.14063 Isr. J. Math. 242, No. 2, 565-604 (2021). Reviewer: Cenap Özel (İzmir) MSC: 14M15 57N80 57M10 PDFBibTeX XMLCite \textit{V. Goulart} and \textit{N. C. Saldanha}, Isr. J. Math. 242, No. 2, 565--604 (2021; Zbl 1479.14063) Full Text: DOI arXiv
Ko, Hankyung; Mazorchuk, Volodymyr; Mrđen, Rafael Bigrassmannian permutations and Verma modules. (English) Zbl 1479.17019 Sel. Math., New Ser. 27, No. 4, Paper No. 55, 24 p. (2021). Reviewer: Matthieu Josuat-Vergès (Paris) MSC: 17B10 05E10 20B30 PDFBibTeX XMLCite \textit{H. Ko} et al., Sel. Math., New Ser. 27, No. 4, Paper No. 55, 24 p. (2021; Zbl 1479.17019) Full Text: DOI arXiv
Futorny, Vyacheslav; Křižka, Libor; Zhang, Jian Generalized Verma modules over \(U_q(\mathfrak{sl}_n(\mathbb{C}))\). (English) Zbl 07210928 Algebr. Represent. Theory 23, No. 3, 811-832 (2020). MSC: 17B10 17B37 17B20 17B35 PDFBibTeX XMLCite \textit{V. Futorny} et al., Algebr. Represent. Theory 23, No. 3, 811--832 (2020; Zbl 07210928) Full Text: DOI arXiv
Kubo, Toshihisa; Ørsted, Bent On the space of \(K\)-finite solutions to intertwining differential operators. (English) Zbl 1428.22014 Represent. Theory 23, 213-248 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E46 17B10 PDFBibTeX XMLCite \textit{T. Kubo} and \textit{B. Ørsted}, Represent. Theory 23, 213--248 (2019; Zbl 1428.22014) Full Text: DOI arXiv
Sale, Thomas Singular vector formulas for Verma modules of simple Lie superalgebras. (English) Zbl 1458.17005 J. Algebra 521, 365-383 (2019). Reviewer: Alexander Sherman (Berkeley) MSC: 17B10 17B20 PDFBibTeX XMLCite \textit{T. Sale}, J. Algebra 521, 365--383 (2019; Zbl 1458.17005) Full Text: DOI arXiv
Xiao, Wei Differential-operator representations of Weyl group and singular vectors in Verma modules. (English) Zbl 1414.17007 Sci. China, Math. 61, No. 6, 1013-1038 (2018). MSC: 17B10 17B20 22E47 PDFBibTeX XMLCite \textit{W. Xiao}, Sci. China, Math. 61, No. 6, 1013--1038 (2018; Zbl 1414.17007) Full Text: DOI arXiv
Bourget, Antoine; Troost, Jan The conformal characters. (English) Zbl 1390.81490 J. High Energy Phys. 2018, No. 4, Paper No. 55, 40 p. (2018). MSC: 81T40 81T60 PDFBibTeX XMLCite \textit{A. Bourget} and \textit{J. Troost}, J. High Energy Phys. 2018, No. 4, Paper No. 55, 40 p. (2018; Zbl 1390.81490) Full Text: DOI arXiv
Gromov, Nikolay; Kazakov, Vladimir; Korchemsky, Gregory; Negro, Stefano; Sizov, Grigory Integrability of conformal fishnet theory. (English) Zbl 1384.81083 J. High Energy Phys. 2018, No. 1, Paper No. 95, 78 p. (2018). MSC: 81T25 81R12 81Q30 81T60 81T13 PDFBibTeX XMLCite \textit{N. Gromov} et al., J. High Energy Phys. 2018, No. 1, Paper No. 95, 78 p. (2018; Zbl 1384.81083) Full Text: DOI arXiv
Cai, Yan-an; Liu, Genqiang; Nilsson, Jonathan; Zhao, Kaiming Generalized Verma modules over \(\mathfrak{sl}_{n + 2}\) induced from \(\mathcal{U}(\mathfrak{h}_n)\)-free \(\mathfrak{sl}_{n + 1}\)-modules. (English) Zbl 1416.17002 J. Algebra 502, 146-162 (2018). MSC: 17B10 17B20 PDFBibTeX XMLCite \textit{Y.-a. Cai} et al., J. Algebra 502, 146--162 (2018; Zbl 1416.17002) Full Text: DOI arXiv
Oshima, Yoshiki; Yamazaki, Masahito Determinant formula for parabolic Verma modules of Lie superalgebras. (English) Zbl 1425.17010 J. Algebra 495, 51-80 (2018). MSC: 17B10 17B22 PDFBibTeX XMLCite \textit{Y. Oshima} and \textit{M. Yamazaki}, J. Algebra 495, 51--80 (2018; Zbl 1425.17010) Full Text: DOI arXiv
Lepowsky, James; Yang, Jinwei Twisted generating functions incorporating singular vectors in Verma modules and their localizations, I. (English) Zbl 1430.17025 Barron, Katrina (ed.) et al., Lie algebras, vertex operator algebras, and related topics. Conference in honor of J. Lepowsky and R. Wilson on the occasion ot their 70th birthdays, University of Notre Dame, Notre Dame, IN, USA, August 14–18, 2015. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 695, 149-173 (2017). MSC: 17B10 17B35 05A15 PDFBibTeX XMLCite \textit{J. Lepowsky} and \textit{J. Yang}, Contemp. Math. 695, 149--173 (2017; Zbl 1430.17025) Full Text: DOI
Cui, Weideng Tightness of certain monomials. (English) Zbl 1358.17016 Sci. China, Math. 58, No. 6, 1297-1304 (2015). MSC: 17B37 PDFBibTeX XMLCite \textit{W. Cui}, Sci. China, Math. 58, No. 6, 1297--1304 (2015; Zbl 1358.17016) Full Text: DOI arXiv
Xiao, Wei Differential equations and singular vectors in Verma modules over \(\mathfrak{sl}(n, \mathbb{C})\). (English) Zbl 1354.17006 Acta Math. Sin., Engl. Ser. 31, No. 7, 1057-1066 (2015). MSC: 17B10 17B20 22E47 PDFBibTeX XMLCite \textit{W. Xiao}, Acta Math. Sin., Engl. Ser. 31, No. 7, 1057--1066 (2015; Zbl 1354.17006) Full Text: DOI
Xiao, Wei Leading weight vectors and homomorphisms between generalized Verma modules. (English) Zbl 1311.22019 J. Algebra 430, 62-93 (2015). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E46 22E47 17B10 53A30 PDFBibTeX XMLCite \textit{W. Xiao}, J. Algebra 430, 62--93 (2015; Zbl 1311.22019) Full Text: DOI
Matumoto, Hisayosi On the homomorphisms between scalar generalized Verma modules. (English) Zbl 1342.17007 Compos. Math. 150, No. 5, 877-892 (2014). MSC: 17B20 17B10 17B22 PDFBibTeX XMLCite \textit{H. Matumoto}, Compos. Math. 150, No. 5, 877--892 (2014; Zbl 1342.17007) Full Text: DOI arXiv
Abe, Noriyuki The category \(\mathcal O\) for a general Coxeter system. (English) Zbl 1273.17009 J. Algebra 367, 1-25 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 20F55 PDFBibTeX XMLCite \textit{N. Abe}, J. Algebra 367, 1--25 (2012; Zbl 1273.17009) Full Text: DOI arXiv
Iohara, Kenji; Koga, Yoshiyuki Enright functors for Kac-Moody superalgebras. (English) Zbl 1272.17013 Abh. Math. Semin. Univ. Hamb. 82, No. 2, 205-226 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B67 PDFBibTeX XMLCite \textit{K. Iohara} and \textit{Y. Koga}, Abh. Math. Semin. Univ. Hamb. 82, No. 2, 205--226 (2012; Zbl 1272.17013) Full Text: DOI
Xu, Xiaoping Differential-operator representations of \(S_n\) and singular vectors in Verma modules. (English) Zbl 1269.17007 Algebr. Represent. Theory 15, No. 2, 211-231 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B20 35A30 35C10 PDFBibTeX XMLCite \textit{X. Xu}, Algebr. Represent. Theory 15, No. 2, 211--231 (2012; Zbl 1269.17007) Full Text: DOI arXiv
Derkachov, Sergey E.; Manashov, Alexander N. Noncompact \(\mathrm{sl}(N)\) spin chains: BGG-resolution, Q-operators and alternating sum representation for finite-dimensional transfer matrices. (English) Zbl 1278.82019 Lett. Math. Phys. 97, No. 2, 185-202 (2011). MSC: 82B23 16T25 PDFBibTeX XMLCite \textit{S. E. Derkachov} and \textit{A. N. Manashov}, Lett. Math. Phys. 97, No. 2, 185--202 (2011; Zbl 1278.82019) Full Text: DOI arXiv
Abe, Noriyuki On the existence of homomorphisms between principal series representations of complex semisimple Lie groups. (English) Zbl 1220.22011 J. Algebra 330, No. 1, 468-481 (2011). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 17B10 22E46 PDFBibTeX XMLCite \textit{N. Abe}, J. Algebra 330, No. 1, 468--481 (2011; Zbl 1220.22011) Full Text: DOI arXiv
Franek, Peter Description of a complex of operators acting between higher spinor modules. (English) Zbl 1171.22010 Sabadini, Irene (ed.) et al., Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13–18, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9892-7/hbk; 978-3-7643-9893-4/e-book). Trends in Mathematics, 151-164 (2009). Reviewer: Vasily A. Chernecky (Odessa) MSC: 22E46 22-06 32W99 PDFBibTeX XMLCite \textit{P. Franek}, in: Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13--18, 2007. Basel: Birkhäuser. 151--164 (2009; Zbl 1171.22010) Full Text: DOI
Cheng, Yongsheng; Su, Yucai Generalized Verma modules over some block algebras. (English) Zbl 07759234 Front. Math. China 3, No. 1, 37-47 (2008). MSC: 17B56 17B68 PDFBibTeX XMLCite \textit{Y. Cheng} and \textit{Y. Su}, Front. Math. China 3, No. 1, 37--47 (2008; Zbl 07759234) Full Text: DOI
Xu, Xiaoping Path hypergeometric functions. (English) Zbl 1177.17019 J. Algebra Appl. 6, No. 4, 595-653 (2007). Reviewer: Valentina Golubeva (Moskva) MSC: 17B80 33C70 37K30 PDFBibTeX XMLCite \textit{X. Xu}, J. Algebra Appl. 6, No. 4, 595--653 (2007; Zbl 1177.17019) Full Text: DOI
Marietti, Mario Algebraic and combinatorial properties of zircons. (English) Zbl 1172.06300 J. Algebr. Comb. 26, No. 3, 363-382 (2007). MSC: 06A07 05E15 20F55 PDFBibTeX XMLCite \textit{M. Marietti}, J. Algebr. Comb. 26, No. 3, 363--382 (2007; Zbl 1172.06300) Full Text: DOI
Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan Unitary positive-energy representations of scalar bilocal quantum fields. (English) Zbl 1156.81422 Commun. Math. Phys. 271, No. 1, 223-246 (2007). MSC: 81T05 81T08 PDFBibTeX XMLCite \textit{B. Bakalov} et al., Commun. Math. Phys. 271, No. 1, 223--246 (2007; Zbl 1156.81422) Full Text: DOI arXiv
Dolan, F. A. Character formulas and partition functions in higher dimensional conformal field theory. (English) Zbl 1112.81089 J. Math. Phys. 47, No. 6, 062303, 33 p. (2006). MSC: 81T40 17B81 22E47 81R10 PDFBibTeX XMLCite \textit{F. A. Dolan}, J. Math. Phys. 47, No. 6, 062303, 33 p. (2006; Zbl 1112.81089) Full Text: DOI arXiv
Matumoto, Hisayosi The homomorphisms between scalar generalized Verma modules associated to maximal parabolic subalgebras. (English) Zbl 1129.17008 Duke Math. J. 131, No. 1, 75-118 (2006). Reviewer: Annegret Paul (Kalamazoo) MSC: 17B10 22E47 PDFBibTeX XMLCite \textit{H. Matumoto}, Duke Math. J. 131, No. 1, 75--118 (2006; Zbl 1129.17008) Full Text: DOI arXiv
Draisma, Jan Representation theory on the open Bruhat cell. (English) Zbl 1126.20025 J. Symb. Comput. 39, No. 3-4, 279-303 (2005). MSC: 20G05 17B45 14L30 14M15 17B66 05E10 PDFBibTeX XMLCite \textit{J. Draisma}, J. Symb. Comput. 39, No. 3--4, 279--303 (2005; Zbl 1126.20025) Full Text: DOI
Xu, Xiaoping Differential equations for singular vectors of \(\text{sp}(2n)\). (English) Zbl 1106.17010 Commun. Algebra 33, No. 11, 4177-4196 (2005). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B20 22E47 PDFBibTeX XMLCite \textit{X. Xu}, Commun. Algebra 33, No. 11, 4177--4196 (2005; Zbl 1106.17010) Full Text: DOI arXiv
Khare, Apoorva Category \(\mathcal O\) over a deformation of the symplectic oscillator algebra. (English) Zbl 1083.17003 J. Pure Appl. Algebra 195, No. 2, 131-166 (2005); Erratum 199, No. 1-3, 319-320 (2005). Reviewer: Steffen König (Köln) MSC: 17B10 16G10 17B35 16S30 PDFBibTeX XMLCite \textit{A. Khare}, J. Pure Appl. Algebra 195, No. 2, 131--166 (2005; Zbl 1083.17003) Full Text: DOI arXiv
Jakelić, Dijana Structure of \(T\) modules and restricted duals: The classical and the quantum case. (English) Zbl 1040.17007 Commun. Algebra 31, No. 11, 5343-5354 (2003). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 PDFBibTeX XMLCite \textit{D. Jakelić}, Commun. Algebra 31, No. 11, 5343--5354 (2003; Zbl 1040.17007) Full Text: DOI arXiv
Xi, Nanhua Irreducible modules of quantized enveloping algebras at roots of 1. (English) Zbl 0874.17013 Publ. Res. Inst. Math. Sci. 32, No. 2, 235-276 (1996). Reviewer: E.J.Taft (New Brunswick) MSC: 17B37 PDFBibTeX XMLCite \textit{N. Xi}, Publ. Res. Inst. Math. Sci. 32, No. 2, 235--276 (1996; Zbl 0874.17013) Full Text: DOI
Fomin, Sergey; Kirillov, Anatol N. Universal exponential solution of the Yang-Baxter equation. (English) Zbl 0867.17009 Lett. Math. Phys. 37, No. 3, 273-284 (1996). Reviewer: Stefano Capparelli (Roma) MSC: 17B37 05E15 81R50 PDFBibTeX XMLCite \textit{S. Fomin} and \textit{A. N. Kirillov}, Lett. Math. Phys. 37, No. 3, 273--284 (1996; Zbl 0867.17009) Full Text: DOI arXiv
Mazorchuk, Vladimir On the structure of an \(\alpha\)-stratified generalized Verma module over Lie algebra \(sl(n, \mathbb{C})\). (English) Zbl 0855.17003 Manuscr. Math. 88, No. 1, 59-72 (1995). Reviewer: D.Melville (Canton) MSC: 17B10 17B20 22E46 PDFBibTeX XMLCite \textit{V. Mazorchuk}, Manuscr. Math. 88, No. 1, 59--72 (1995; Zbl 0855.17003) Full Text: DOI EuDML
Rowe, D. J.; Repka, J. Induced shift tensors in vector coherent state theory. (English) Zbl 0826.22024 J. Math. Phys. 36, No. 4, 2008-2029 (1995). Reviewer: G.Roepstorff (Aachen) MSC: 22E70 22E46 81R30 22E60 PDFBibTeX XMLCite \textit{D. J. Rowe} and \textit{J. Repka}, J. Math. Phys. 36, No. 4, 2008--2029 (1995; Zbl 0826.22024) Full Text: DOI
Zou, Yi Ming Completions of certain modules over quantum groups. (English) Zbl 0827.17015 Commun. Algebra 23, No. 7, 2401-2428 (1995). Reviewer: Ye Jiachen (Shanghai) MSC: 17B37 16W30 PDFBibTeX XMLCite \textit{Y. M. Zou}, Commun. Algebra 23, No. 7, 2401--2428 (1995; Zbl 0827.17015) Full Text: DOI
Juriev, Den V. On the univalency of regular functions. (English) Zbl 0786.30013 Ann. Mat. Pura Appl., IV. Ser. 164, 37-50 (1993). MSC: 30C55 17B68 PDFBibTeX XMLCite \textit{D. V. Juriev}, Ann. Mat. Pura Appl. (4) 164, 37--50 (1993; Zbl 0786.30013) Full Text: DOI
Gyoja, Akihiko Further generalization of generalized Verma modules. (English) Zbl 0810.17002 Publ. Res. Inst. Math. Sci. 29, No. 3, 349-395 (1993). Reviewer: M.Muro (Yanagido) MSC: 17B10 22E46 PDFBibTeX XMLCite \textit{A. Gyoja}, Publ. Res. Inst. Math. Sci. 29, No. 3, 349--395 (1993; Zbl 0810.17002) Full Text: DOI
McDowell, Edward A module induced from a Whittaker module. (English) Zbl 0774.17009 Proc. Am. Math. Soc. 118, No. 2, 349-354 (1993). MSC: 17B10 22E46 PDFBibTeX XMLCite \textit{E. McDowell}, Proc. Am. Math. Soc. 118, No. 2, 349--354 (1993; Zbl 0774.17009) Full Text: DOI
Eswara Rao, S. On representations of loop algebras. (English) Zbl 0777.17019 Commun. Algebra 21, No. 6, 2131-2153 (1993). Reviewer: A.N.Pressley (London) MSC: 17B67 PDFBibTeX XMLCite \textit{S. Eswara Rao}, Commun. Algebra 21, No. 6, 2131--2153 (1993; Zbl 0777.17019) Full Text: DOI
Niedermaier, M. Irrational free field resolutions for \(W(sl(n))\) and extended Sugawara construction. (English) Zbl 0769.17013 Commun. Math. Phys. 148, No. 2, 249-281 (1992). Reviewer: A.N.Pressley (London) MSC: 17B65 81R10 17B67 81T40 81R50 PDFBibTeX XMLCite \textit{M. Niedermaier}, Commun. Math. Phys. 148, No. 2, 249--281 (1992; Zbl 0769.17013) Full Text: DOI
Eastwood, Michael G.; Graham, C. Robin Invariants of conformal densities. (English) Zbl 0745.53007 Duke Math. J. 63, No. 3, 633-671 (1991). Reviewer: H.-B.Rademacher (Bonn) MSC: 53A30 22E47 PDFBibTeX XMLCite \textit{M. G. Eastwood} and \textit{C. R. Graham}, Duke Math. J. 63, No. 3, 633--671 (1991; Zbl 0745.53007) Full Text: DOI
Bouwknegt, Peter; McCarthy, Jim; Pilch, Krzysztof Quantum group structure in the Fock space resolutions of ŝl(n) representations. (English) Zbl 0704.17009 Commun. Math. Phys. 131, No. 1, 125-155 (1990). Reviewer: H.Boseck MSC: 17B37 17B67 81T40 81R10 81R50 17B10 PDFBibTeX XMLCite \textit{P. Bouwknegt} et al., Commun. Math. Phys. 131, No. 1, 125--155 (1990; Zbl 0704.17009) Full Text: DOI
Deckhart, Robert W. \(A_ n\) modular maximal vectors. I: Bases, rank 2 families, and an introduction to products. (English) Zbl 0692.17001 Commun. Algebra 17, No. 7, 1565-1588 (1989). Reviewer: J.Hilgert MSC: 17B10 PDFBibTeX XMLCite \textit{R. W. Deckhart}, Commun. Algebra 17, No. 7, 1565--1588 (1989; Zbl 0692.17001) Full Text: DOI
Benoist, Yves \({\mathfrak n}\)-coinvariants of \({\mathfrak n}\)-locally nilpotent \({\mathfrak g}\)-modules. (\({\mathfrak n}\)-coinvariants des \({\mathfrak g}\)-modules \({\mathfrak n}\)-localement nilpotents.) (French) Zbl 0678.17006 Bull. Soc. Math. Fr. 116, No. 4, 413-429 (1988). Reviewer: A.S.Dzhumadil’daev MSC: 17B20 17B10 PDFBibTeX XMLCite \textit{Y. Benoist}, Bull. Soc. Math. Fr. 116, No. 4, 413--429 (1988; Zbl 0678.17006) Full Text: DOI Numdam EuDML
Kim, Wansoon On the concept of completions and explicit determination of an invariant pairing for general Kac-Moody Lie algebras. (English) Zbl 0674.17006 Commun. Algebra 16, No. 1, 185-222 (1988). Reviewer: V.Chari MSC: 17B67 17B10 PDFBibTeX XMLCite \textit{W. Kim}, Commun. Algebra 16, No. 1, 185--222 (1988; Zbl 0674.17006) Full Text: DOI
Franklin, James Homomorphisms between Verma modules in characteristic p. (English) Zbl 0644.17003 J. Algebra 112, No. 1, 58-85 (1988). Reviewer: J.Hilgert MSC: 17B10 17B20 17B35 PDFBibTeX XMLCite \textit{J. Franklin}, J. Algebra 112, No. 1, 58--85 (1988; Zbl 0644.17003) Full Text: DOI
Eastwood, Michael G.; Rice, John W. Conformally invariant differential operators on Minkowski space and their curved analogues. (English) Zbl 0659.53047 Commun. Math. Phys. 109, 207-228 (1987). MSC: 53C50 58J70 83C05 PDFBibTeX XMLCite \textit{M. G. Eastwood} and \textit{J. W. Rice}, Commun. Math. Phys. 109, 207--228 (1987; Zbl 0659.53047) Full Text: DOI
Lenczewski, Romuald Indecomposable modules of the Poincaré algebra in an energy-cyclic angular momentum basis. (English) Zbl 0632.22016 J. Math. Phys. 28, 1237-1242 (1987). MSC: 22E70 22E65 17B65 22E43 17B35 PDFBibTeX XMLCite \textit{R. Lenczewski}, J. Math. Phys. 28, 1237--1242 (1987; Zbl 0632.22016) Full Text: DOI
Carlin, Kevin J. Extensions of Verma modules. (English) Zbl 0595.22015 Trans. Am. Math. Soc. 294, 29-43 (1986). Reviewer: S.Prishchepionok MSC: 22E47 17B10 17B55 22E46 PDFBibTeX XMLCite \textit{K. J. Carlin}, Trans. Am. Math. Soc. 294, 29--43 (1986; Zbl 0595.22015) Full Text: DOI
McDowell, Edward On modules induced from Whittaker modules. (English) Zbl 0584.17002 J. Algebra 96, 161-177 (1985). Reviewer: David Vogan MSC: 17B35 17B10 22E47 22E46 PDFBibTeX XMLCite \textit{E. McDowell}, J. Algebra 96, 161--177 (1985; Zbl 0584.17002) Full Text: DOI
Proctor, Robert A. Bruhat lattices, plane partition generating functions, and minuscule representations. (English) Zbl 0562.05003 Eur. J. Comb. 5, 331-350 (1984). Reviewer: E.Fuchs MSC: 05A05 06A06 17B10 06B10 06D05 05-02 06-02 PDFBibTeX XMLCite \textit{R. A. Proctor}, Eur. J. Comb. 5, 331--350 (1984; Zbl 0562.05003) Full Text: DOI Backlinks: MO
Gould, M. D.; Edwards, S. A. Enveloping algebra annihilators and projection techniques for finite-dimensional cyclic modules of a semisimple Lie algebra. (English) Zbl 0552.17004 J. Math. Phys. 25, 2848-2855 (1984). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 17B10 17B20 17B35 PDFBibTeX XMLCite \textit{M. D. Gould} and \textit{S. A. Edwards}, J. Math. Phys. 25, 2848--2855 (1984; Zbl 0552.17004) Full Text: DOI
Lorente, Miguel; Gruber, Bruno Construction of extremal vectors for Verma submodules of Verma modules. (English) Zbl 0551.17001 J. Math. Phys. 25, 1674-1681 (1984). Reviewer: G.Brown MSC: 17B10 17B20 17B35 PDFBibTeX XMLCite \textit{M. Lorente} and \textit{B. Gruber}, J. Math. Phys. 25, 1674--1681 (1984; Zbl 0551.17001) Full Text: DOI
Brylinski, J. L.; Kashiwara, M. Kazhdan-Lusztig conjecture and holonomic systems. (English) Zbl 0473.22009 Invent. Math. 64, 387-410 (1981). MSC: 22E47 14F40 14L30 35A99 55N35 PDFBibTeX XMLCite \textit{J. L. Brylinski} and \textit{M. Kashiwara}, Invent. Math. 64, 387--410 (1981; Zbl 0473.22009) Full Text: DOI EuDML
Deodhar, Vinay V. On a construction of representations and a problem of Enright. (English) Zbl 0423.17005 Invent. Math. 57, 101-118 (1980). MSC: 17B10 17B20 17B35 PDFBibTeX XMLCite \textit{V. V. Deodhar}, Invent. Math. 57, 101--118 (1980; Zbl 0423.17005) Full Text: DOI EuDML
Zhelobenko, D. P. Harmonic analysis on reductive Lie groups. (English. Russian original) Zbl 0475.43008 J. Sov. Math. 15, 490-529 (1981); translation from Itogi Nauki Tekh., Ser. Mat. Anal. 17, 207-269 (1979). MSC: 43A80 22E30 43A90 43A85 PDFBibTeX XMLCite \textit{D. P. Zhelobenko}, J. Sov. Math. 15, 490--529 (1979; Zbl 0475.43008); translation from Itogi Nauki Tekh., Ser. Mat. Anal. 17, 207--269 (1979) Full Text: DOI
Williams, Floyd L. The cohomology of semisimple Lie algebras with coefficients in a Verma module. (English) Zbl 0389.17003 Trans. Am. Math. Soc. 240, 115-127 (1978). MSC: 17B56 17B35 22E47 PDFBibTeX XMLCite \textit{F. L. Williams}, Trans. Am. Math. Soc. 240, 115--127 (1978; Zbl 0389.17003) Full Text: DOI
Parthasarathy, R. A generalization of the Enright-Varadarajan modules. (English) Zbl 0384.17005 Compos. Math. 36, 53-73 (1978). MSC: 17B20 17B10 22E45 PDFBibTeX XMLCite \textit{R. Parthasarathy}, Compos. Math. 36, 53--73 (1978; Zbl 0384.17005) Full Text: Numdam EuDML
Lepowsky, J. A generalization of the Bernstein-Gelfand-Gelfand resolution. (English) Zbl 0381.17006 J. Algebra 49, 496-511 (1977). MSC: 17B55 17B56 17B10 PDFBibTeX XMLCite \textit{J. Lepowsky}, J. Algebra 49, 496--511 (1977; Zbl 0381.17006) Full Text: DOI
Deodhar, Vinay V.; Lepowsky, James On multiplicity in the Jordan-Hölder series of Verma modules. (English) Zbl 0381.17004 J. Algebra 49, 512-524 (1977). MSC: 17B10 22E47 PDFBibTeX XMLCite \textit{V. V. Deodhar} and \textit{J. Lepowsky}, J. Algebra 49, 512--524 (1977; Zbl 0381.17004) Full Text: DOI
Bernshteĭn, I. N.; Gel’fand, I. M.; Gel’fand, S. I. Category of \(\mathfrak g\) modules. (English. Russian original) Zbl 0353.18013 Funct. Anal. Appl. 10, 87-92 (1976); translation from Funkts. Anal. Prilozh. 10, No. 2, 1-8 (1976). Reviewer: Csaba Hatvany (Timişoara) MSC: 17B10 17B56 17B55 18G05 PDFBibTeX XMLCite \textit{I. N. Bernshteĭn} et al., Funct. Anal. Appl. 10, 87--92 (1976; Zbl 0353.18013); translation from Funkts. Anal. Prilozh. 10, No. 2, 1--8 (1976) Full Text: DOI
Zelobenko, D. P. Representations of complex semisimple Lie groups. (English) Zbl 0338.22010 J. Sov. Math. 4(1975), 656-680 (1976). MSC: 22E45 20G05 22-02 PDFBibTeX XMLCite \textit{D. P. Zelobenko}, J. Sov. Math. 4, 656--680 (1976; Zbl 0338.22010) Full Text: DOI
Lepowsky, J. Conical vectors in induced modules. (English) Zbl 0311.17002 Trans. Am. Math. Soc. 208, 219-272 (1975). MSC: 17B10 16Gxx 17B20 17B35 22E45 PDFBibTeX XMLCite \textit{J. Lepowsky}, Trans. Am. Math. Soc. 208, 219--272 (1975; Zbl 0311.17002) Full Text: DOI
Gruber, B.; Klimyk, A. U. Properties of linear representations with a highest weight for the semisimple Lie algebras. (English) Zbl 0308.17002 J. Math. Phys. 16, 1816-1832 (1975). MSC: 17B10 22E60 PDFBibTeX XMLCite \textit{B. Gruber} and \textit{A. U. Klimyk}, J. Math. Phys. 16, 1816--1832 (1975; Zbl 0308.17002) Full Text: DOI
Lutsyuk, A. V. Homomorphisms of the modules \(M_\chi\). (English. Russian original) Zbl 0314.17008 Funct. Anal. Appl. 8, 351-352 (1974); translation from Funkts. Anal. Prilozh. 8, No. 4, 91-92 (1974). Reviewer: Yu. A. Bakhturin (Moskva) MSC: 17B20 PDFBibTeX XMLCite \textit{A. V. Lutsyuk}, Funct. Anal. Appl. 8, 351--352 (1974; Zbl 0314.17008); translation from Funkts. Anal. Prilozh. 8, No. 4, 91--92 (1974) Full Text: DOI
Conze, Nicole Algèbres d’opérateurs différentiels et quotients des algèbres enveloppantes. (French) Zbl 0298.17012 Bull. Soc. Math. Fr. 102, 379-415 (1974). MSC: 17B35 12H05 PDFBibTeX XMLCite \textit{N. Conze}, Bull. Soc. Math. Fr. 102, 379--415 (1974; Zbl 0298.17012) Full Text: DOI Numdam EuDML
Veldkamp, F. D. The center of the universal enveloping algebra of a Lie algebra in characteristic p. (English) Zbl 0242.17009 Ann. Sci. Éc. Norm. Supér. (4) 5, 217-240 (1972). MSC: 17B35 17B45 17B20 PDFBibTeX XMLCite \textit{F. D. Veldkamp}, Ann. Sci. Éc. Norm. Supér. (4) 5, 217--240 (1972; Zbl 0242.17009) Full Text: DOI Numdam EuDML
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I. Structure of representations generated by vectors of highest weight. (English. Russian original) Zbl 0246.17008 Funct. Anal. Appl. 5, 1-8 (1971); translation from Funkts. Anal. Prilozh. 5, No. 1, 1-9 (1971). MSC: 17B10 22E60 PDFBibTeX XMLCite \textit{I. N. Bernstein} et al., Funct. Anal. Appl. 5, 1--8 (1971; Zbl 0246.17008); translation from Funkts. Anal. Prilozh. 5, No. 1, 1--9 (1971) Full Text: DOI
Klimyk, A. U. Decomposition of highest-weight representations of a semisimple Lie algebra into representations of regular subalgebras. (English) Zbl 0239.17006 Math. Notes 8(1970), 868-871 (1971). MSC: 17B10 PDFBibTeX XMLCite \textit{A. U. Klimyk}, Math. Notes 8, 868--871 (1971; Zbl 0239.17006) Full Text: DOI
Verma, Daya-Nand Möbius inversion for the Bruhat ordering on a Weyl group. (English) Zbl 0236.20035 Ann. Sci. Éc. Norm. Supér. (4) 4, 393-398 (1971). MSC: 20F99 06A06 17B99 22E99 20G99 PDFBibTeX XMLCite \textit{D.-N. Verma}, Ann. Sci. Éc. Norm. Supér. (4) 4, 393--398 (1971; Zbl 0236.20035) Full Text: DOI Numdam EuDML
Humphreys, J. E. Modular representations of classical Lie algebras and semi-simple groups. (English) Zbl 0219.17003 J. Algebra 19, 51-79 (1971). MSC: 17B50 17B35 PDFBibTeX XMLCite \textit{J. E. Humphreys}, J. Algebra 19, 51--79 (1971; Zbl 0219.17003) Full Text: DOI
Humphreys, J. E. Modular representations of classical Lie algebras. (English) Zbl 0199.35103 Bull. Am. Math. Soc. 76, 878-882 (1970). MSC: 17B10 17B50 17B35 PDFBibTeX XMLCite \textit{J. E. Humphreys}, Bull. Am. Math. Soc. 76, 878--882 (1970; Zbl 0199.35103) Full Text: DOI