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JOURNALS // Matematicheskie Zametki

Mat. Zametki, 1979, Volume 26, Issue 1, Pages 15–25 (Mi mzm6800)

Description of a class of projection operators for semisimple complex Lie algebras
R. M. Asherova, Yu. F. Smirnov, V. N. Tolstoy

This publication is cited in the following articles:
  1. A. V. Razumov, “On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra”, Theoret. and Math. Phys., 217:3 (2023), 1938–1953  mathnet  crossref  crossref  mathscinet  adsnasa  isi
  2. D. V. Artamonov, “Functional approach to a Gelfand–Tsetlin-type basis for $\mathfrak{o}_5$”, Theoret. and Math. Phys., 211:1 (2022), 443–459  mathnet  crossref  crossref  mathscinet  adsnasa  isi
  3. Asmus K. Bisbo, Joris Van der Jeugt, “Bases for infinite dimensional simple osp(1|2n)-modules respecting the branching osp(1|2n)⊃gl(n)”, Journal of Mathematical Physics, 63:6 (2022)  crossref
  4. Alexander V. Razumov, “Quantum groups and functional relations for arbitrary rank”, Nuclear Physics B, 971 (2021), 115517  crossref
  5. ALEXANDER MOLEV, OKSANA YAKIMOVA, “MONOMIAL BASES AND BRANCHING RULES”, Transformation Groups, 26:3 (2021), 995  crossref
  6. Khazret S. Nirov, Alexander V. Razumov, “Vertex Models and Spin Chains in Formulas and Pictures”, SIGMA, 15 (2019), 068, 67 pp.  mathnet  crossref
  7. Khazret S. Nirov, Alexander V. Razumov, “Highest $\ell$-Weight Representations and Functional Relations”, SIGMA, 13 (2017), 043, 31 pp.  mathnet  crossref
  8. Charles H. Conley, Dimitar Grantcharov, “Quantization and injective submodules of differential operator modules”, Advances in Mathematics, 316 (2017), 216  crossref
  9. Khazret S Nirov, Alexander V Razumov, “Quantum groups, Verma modules andq-oscillators: general linear case”, J. Phys. A: Math. Theor., 50:30 (2017), 305201  crossref
  10. Hermann Boos, Frank Göhmann, Andreas Klümper, Khazret S. Nirov, Alexander V. Razumov, “Oscillator versus prefundamental representations. II. Arbitrary higher ranks”, Journal of Mathematical Physics, 58:9 (2017)  crossref
  11. Hermann Boos, Frank Göhmann, Andreas Klümper, Khazret S. Nirov, Alexander V. Razumov, “Oscillator versus prefundamental representations”, Journal of Mathematical Physics, 57:11 (2016)  crossref
  12. Kh S Nirov, A V Razumov, “Quantum affine algebras and universal functional relations”, J. Phys.: Conf. Ser., 670 (2016), 012037  crossref
  13. C. H. Conley, M. R. Sepanski, “Factorizations of relative extremal projectors”, P-Adic Num Ultrametr Anal Appl, 7:4 (2015), 276  crossref
  14. Sergey Khoroshkin, Maxim Nazarov, Alexander Shapiro, “Rational and polynomial representations of Yangians”, Journal of Algebra, 418 (2014), 265  crossref
  15. F. Delduc, M. Magro, B. Vicedo, “Derivation of the action and symmetries of the q-deformed AdS5 × S 5 superstring”, J. High Energ. Phys., 2014:10 (2014)  crossref
  16. A. Sevostyanov, “The geometric meaning of Zhelobenko operators”, Transformation Groups, 18:3 (2013), 865  crossref
  17. Sergei Khoroshkin, Oleg Ogievetsky, “Structure Constants of Diagonal Reduction Algebras of $\mathfrak{gl}$ Type”, SIGMA, 7 (2011), 064, 34 pp.  mathnet  crossref  mathscinet
  18. Herman Boos, Frank Göhmann, Andreas Klümper, Khazret S Nirov, Alexander V Razumov, “On the universal $\boldmath $R$$-matrix for the Izergin–Korepin model”, J. Phys. A: Math. Theor., 44:35 (2011), 355202  crossref
  19. Sergey Khoroshkin, Maxim Nazarov, Ernest Vinberg, “A generalized Harish-Chandra isomorphism”, Advances in Mathematics, 226:2 (2011), 1168  crossref
  20. O. V. Ogievetskii, S. M. Khoroshkin, “Diagonal Reduction Algebras of $\mathfrak{gl}$ Type”, Funct. Anal. Appl., 44:3 (2010), 182–198  mathnet  crossref  crossref  mathscinet  zmath  isi
  21. S. Khoroshkin, O. Ogievetsky, “Mickelsson algebras and Zhelobenko operators”, Journal of Algebra, 319:5 (2008), 2113  crossref
  22. A.I. Molev, Handbook of Algebra, 4, 2006, 109  crossref
  23. Charles H. Conley, Mark R. Sepanski, “Infinite commutative product formulas for relative extremal projectors”, Advances in Mathematics, 196:1 (2005), 52  crossref
  24. S. M. Khoroshkin, “Extremal Projector and Dynamical Twist”, Theoret. and Math. Phys., 139:1 (2004), 582–597  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  25. Charles H. Conley, Mark R. Sepanski, “Relative extremal projectors”, Advances in Mathematics, 174:2 (2003), 155  crossref
  26. D. P. Zhelobenko, “Universal Verma modules and $W$-resolvents over Kač–Moody algebras”, Theoret. and Math. Phys., 122:3 (2000), 278–297  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
  27. D. V. Yur'ev, “Topics in isotopic pairs and their representations. II. A general supercase”, Theoret. and Math. Phys., 111:1 (1997), 511–518  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
  28. V. N. Tolstoy, S. M. Khoroshkin, “The universal $R$-matrix for quantum untwisted affine Lie algebras”, Funct. Anal. Appl., 26:1 (1992), 69–71  mathnet  crossref  mathscinet  zmath  isi
  29. V. N. Tolstoy, “Extremal projections for contragredient Lie algebras and superalgebras of finite growth”, Russian Math. Surveys, 44:1 (1989), 257–258  mathnet  crossref  mathscinet  zmath  adsnasa  isi
  30. D. P. Zhelobenko, “Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras”, Math. USSR-Izv., 33:1 (1989), 85–100  mathnet  crossref  mathscinet  zmath
  31. Pekka Kekäläinen, “On irreducible A2-finite G2-modules”, Journal of Algebra, 117:1 (1988), 72  crossref
  32. D. P. Zhelobenko, “Extremal cocycles of Weyl groups”, Funct. Anal. Appl., 21:3 (1987), 183–192  mathnet  crossref  mathscinet  zmath  isi
  33. V. N. Tolstoy, “Extremal projections for reductive classical Lie superalgebras with a non-degenerate generalized Killing form”, Russian Math. Surveys, 40:4 (1985), 241–242  mathnet  crossref  mathscinet  zmath  adsnasa  isi


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