J. H. Bernstein, I. M. Gel'fand, S. I. Gel'fand, “Structure of representations generated by vectors of highest weight”, Funktsional. Anal. i Prilozhen., 5:1 (1971), 1–9; Funct. Anal. Appl., 5:1 (1971), 1

Citation in format AMSBIB

\Bibitem{BerGelGel71}

\by J.~H.~Bernstein, I.~M.~Gel'fand, S.~I.~Gel'fand

\paper Structure of representations generated by vectors of highest weight

\jour Funktsional. Anal. i Prilozhen.

\yr 1971

\vol 5

\issue 1

\pages 1--9

\mathnet{http://mi.mathnet.ru/faa2556}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=291204}

\zmath{https://zbmath.org/?q=an:0246.17008}

\transl

\jour Funct. Anal. Appl.

\yr 1971

\vol 5

\issue 1

\pages 1--8

\crossref{https://doi.org/10.1007/BF01075841}

This publication is cited in the following 211 articles:

Andrey Mudrov, “Shapovalov elements of classical and quantum groups”, Journal of Pure and Applied Algebra, 228:7 (2024), 107634
Vladimir K. Dobrev, “Canonical Construction of Invariant Differential Operators: A Review”, Symmetry, 16:2 (2024), 151
Ruotao Yang, “Twisted Whittaker category on affine flags and the category of representations of the mixed quantum group”, Compositio Math., 160:6 (2024), 1349
D. Algethami, A. I. Mudrov, “Shapovalov elements and Hasse diagrams”, Theoret. and Math. Phys., 216:3 (2023), 1255–1264
V.K. Dobrev, “Einstein Manifold of SO(p,q) with a New Parabolic Subgroup and Invariant Differential Operators”, J. Phys.: Conf. Ser., 2667:1 (2023), 012005
Leandro Cagliero, Iván Gómez-Rivera, “Tensor products and intertwining operators for uniserial representations of the Lie algebra sl(2)⋉V(m)”, Journal of Algebra, 636 (2023), 171
V. K. Dobrev, “Einstein Manifold of SO(p, 9 – p), Its Corresponding Parabolic Subgroup, and Invariant Differential Operators”, Phys. Part. Nuclei, 54:6 (2023), 1039
V. K. Dobrev, “Einstein Manifold of Pseudo-Orthogonal Group and Invariant Differential Operators”, Phys. Part. Nuclei Lett., 20:3 (2023), 224
Robert de Mello Koch, Sanjaye Ramgoolam, “ $\mathcal{N}$ = 4 SYM, (super)-polynomial rings and emergent quantum mechanical symmetries”, J. High Energ. Phys., 2023:2 (2023)
Martin Olbrich, Guendalina Palmirotta, “Delorme's intertwining conditions for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic spaces”, Ann Glob Anal Geom, 63:1 (2023)
V. K. Dobrev, “Heisenberg Parabolic Subgroup of SO∗(10) and Invariant Differential Operators”, Symmetry, 14:8 (2022), 1592
Xingpeng Liu, “A note on parabolic Verma module homomorphisms over Kac-Moody algebras”, Journal of Pure and Applied Algebra, 226:4 (2022), 106868
Wei Xiao, Ailin Zhang, “Jantzen coefficients and simplicity of parabolic Verma modules”, Journal of Algebra, 611 (2022), 24
V.K. Dobrev, “Heisenberg Parabolic Subgroups of Exceptional Non-Compact G2(2) and Invariant Differential Operators”, Symmetry, 14:4 (2022), 660
V. I. Zvonilov, “Viro–Zvonilov Inequalities for Flexible Curves on an Almost Complex Four-Dimensional Manifold”, Lobachevskii J Math, 43:3 (2022), 720
Vidas Regelskis, Bart Vlaar, Contemporary Mathematics, 780, Hypergeometry, Integrability and Lie Theory, 2022, 155
Alexander Baranov, Andrey Mudrov, Vadim Ostapenko, “Quantum Exceptional Group G2 and its Semisimple Conjugacy Classes”, Algebr Represent Theor, 23:4 (2020), 1827
Robert Laugwitz, “The relative monoidal center and tensor products of monoidal categories”, Commun. Contemp. Math., 22:08 (2020), 1950068
Skip Garibaldi, Robert Guralnick, “Generically free representations, I: large representations”, Alg. Number Th., 14:6 (2020), 1577
Ben Elias, Shotaro Makisumi, Ulrich Thiel, Geordie Williamson, RSME Springer Series, 5, Introduction to Soergel Bimodules, 2020, 259

⋯