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Semisimple Lie algebra

OpenAlex ID: C2778052762
Symmetric Pairs for Quantized Enveloping Algebras
1999 · Gail Letzter · Journal of Algebra · 176
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On Some Applications of the Universal Enveloping Algebra of a Semisimple Lie Algebra
1951 · Harish-Chandra · Transactions of the American Mathematical Society · 173
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Associated Varieties and Unipotent Representations
1991 · David A. Vogan · Progress in mathematics · 164
Fixed point varieties on affine flag manifolds
1988 · D. Kazhdan, G. Lusztig · Israel Journal of Mathematics · 144
Semisimple graded Lie algebras
1975 · A. Pais, V. Rittenberg · Journal of Mathematical Physics · 144
Differential operators on homogeneous spaces. I
1982 · Walter Borho, Jean-Luc Brylinski · Inventiones mathematicae · 143
The invariant holonomic system on a semisimple Lie algebra
1984 · R. Hotta, M. Kashiwara · Inventiones mathematicae · 117
Algebraic structures on modules of diagrams
2010 · Pierre Vogel · Journal of Pure and Applied Algebra · 106
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A preparation theorem for the prime spectrum of a semisimple Lie algebra
1977 · A. Joseph · Journal of Algebra · 97
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The composition series of modules induced from Whittaker modules
1997 · Dragan Miličić, Wolfgang Soergel · Commentarii Mathematici Helvetici · 90
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Goldie rank in the enveloping algebra of a semisimple Lie algebra, I
1980 · A. Joseph · Journal of Algebra · 90
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Classification and construction of Quasisimple Lie algebras
1990 · Raphaël Høegh-Krohn, Bruno Torresani · Journal of Functional Analysis · 88
A Plactic Algebra for Semisimple Lie Algebras
1996 · Peter Littelmann · Advances in Mathematics · 81
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Limits of Weight Spaces, Lusztig's q-Analogs, and Fiberings of Adjoint Orbits
1989 · Ranee Kathryn Brylinski · Journal of the American Mathematical Society · 81
A generalized τ-invariant for the primitive spectrum of a semisimple Lie algebra
1979 · David A. Vogan · Mathematische Annalen · 76
Yangians and quantum loop algebras
2012 · Sachin Gautam, Valerio Toledano Laredo · Selecta Mathematica · 70
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Deformations of symplectic singularities and orbit method for semisimple Lie algebras
2022 · Ivan Losev · Selecta Mathematica · 69
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Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra
2004 · Bertram Kostant · Inventiones mathematicae · 69
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Classification of Semisimple Subalgebras of Simple Lie Algebras
1972 · M. Lorente, B. Gruber · Journal of Mathematical Physics · 63
S Theorem and Construction of the Invariants of the Semisimple Compact Lie Algebras
1964 · B. Gruber, L. O'Raifeartaigh · Journal of Mathematical Physics · 62
On a Class of Representations of the Yangian and Moduli Space of Monopoles
2005 · A. Gerasimov, S Kharchev, et al. · Communications in Mathematical Physics · 55
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Ordering of the primitive spectrum of a semisimple Lie algebra
1980 · David A. Vogan · Mathematische Annalen · 53
Regular conjugacy classes in the Weyl group and integrable hierarchies
1995 · F Delduc, L Feher · Journal of Physics A Mathematical and General · 52
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A Koszul category of representations of finitary Lie algebras
2015 · Elizabeth Dan-Cohen, Ivan Penkov, et al. · Advances in Mathematics · 50
Representations of the cyclically symmetric q-deformed algebra soq(3)
1999 · M. Havlı́ček, A. U. Klimyk, et al. · Journal of Mathematical Physics · 47
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Works count: 611
Citation count: 5,056
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